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maths
Dilations
Choose the correct scale factor:
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2
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3
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1/3
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1/2
The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?
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½
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¼
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4
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2
A dilation is which of the following:
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only an enlargement
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only a reduction
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Either an enlargement or a reduction
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Neither an enlargement or a reduction
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.
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B' (2 , 4.5)
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B' (-8 ,-18)
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B' (8 ,18)
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B' (9 ,4)
When A(3, 6) is under a dilation of 2 what are the coordinates of A'?
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(3, 6)
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(1.5, 3)
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(6, 12)
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(12, 6)
A dilation produces a congruent figure
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True
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False
When a dilation has a scale factor greater than one, the dilation is an enlargement.
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True
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False
When the scale factor of a dilation is less than one, the dilation is a reduction.
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True
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False
In a dilation what mathematical operation is used with the scale factor?
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addition
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subtraction
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multiplication
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division
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
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reduction
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enlargement
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scale factor
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center of dilation
State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.
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G' (5,3)
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G' (20,12)
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G' (-20,-12)
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G' (-5,-3)
Similar figures have the same ______ but different ______.
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measure; shapes
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sizes; shapes
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value; measures
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shape; sizes
What is the scale factor from ABCD to MNOP?
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2/3
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3/2
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2
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3
If your SF = 0.8, what type of dilation is it?
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Reduction
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Enlargement
If your SF = 2.5, what type of dilation is it?
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Reduction
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Enlargement
If your SF = 6/5, what type of dilation is it?
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Reduction
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Enlargement
Dilate Point B by a scale factor of 3:
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(12,0)
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(12,12)
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(4,3)
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(0,12)
Does the image show a dilation?
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Yes
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No
Does the image show a Dilation?
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Yes
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No
Dilate Point B by a scale factor of 1/2
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(1.5,-4)
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(-1.5,1)
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(-1,-1.5)
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(-2,-2)
Did the image enlarge, reduce or none of the above?
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Enlarge
0%
Reduce
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None of the above
Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?
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Yes, enlarge
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Yes, reduce
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No
What scale factor was used to produce the image?
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2
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3
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1/3
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1/2
What scale factor was used to produce the image?
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1
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7
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18
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49
What scale factor was used to produce the image?
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2
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-2
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1/2
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1
What scale factor was used to produce the image?
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2.5
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1.5
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3.5
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4
What are the coordinates for the center of dilation?
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(3, 0)
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(0, 0)
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(3, 1)
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(3, -2)
What are the coordinates for the center of dilation?
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(0, 0)
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(-3, -1)
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(-12, 6)
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(-3, -3)
Find the measure of x:
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6
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24
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33
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36
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
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(5,3)
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(20,12)
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(-20,-12)
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(-5,-3)
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.
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(2,4.5)
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(-8,-18)
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(8,18)
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(9,4)
State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.
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(-6, 1)
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(-3, -2)
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(1, -6)
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(-2, -3)
State the coordinates of the image of point B after a dilation with a scale factor of 2 and centered at point A.
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(-4,2)
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(-8,4)
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(-4,6)
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(-2,-2)
The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image?
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green triangle
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red triangle
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black triangle
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none of these
Under a dilation, which scale factor will result in a congruent image?
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-2
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0
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1
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1/2
A dilation produces a similar figure
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True
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False
When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).
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True
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False
An image is dilated at a scale factor of 1.This means the dilation is an enlargement and the dilated image will be bigger.
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True
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False
Choose the correct scale factor:
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2
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3
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1/3
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1/2
Dilate Point B by a scale factor of 3:
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(12,0)
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(12,12)
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(4,3)
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(0,12)
Does the image show a dilation?
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Yes
0%
No
A dilation is which of the following:
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an enlargement
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a reduction
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Either an enlargement or a reduction
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Neither an enlargement or a reduction
Does the image show a Dilation?
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Yes
0%
No
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?A(3,3) B(6,6) C(9,3)
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A'(9,9) B'(18,18) C'(27,9)
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A'(6,6) B'(9,9) C'(12,6)
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A'(0,0) B'(3,3) C'(6,0)
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A'(1,1) B'(2,2) C'(3,1)
Triangle ABC will be dilated by a scale factor of 1/ What will be the coordinates of C'?
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(-1, -2.5)
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(12, 6)
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(3, -1.5)
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(0, 1.5)
Enlargement or reduction? Find the scale factor!
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It's a reduction; the scale factor is 2.
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It's an enlargement; the scale factor is 2.
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It's an enlargement; the scale factor is 1/2.
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It's a reduction; the scale factor is 1/2.
If the scale factor is greater than 1, the dilation is...
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an enlargement
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a rotation
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a translation
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a reduction
If the scale factor is less than 1, the dilation is...
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an enlargement
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a translation
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a rotation
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a reduction
Enlargement or reduction? Find the scale factor!
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It's an enlargement; the scale factor is 1/2.
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It's an enlargement; the scale factor is 2.
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It's a reduction; the scale factor is 1/2.
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It's a reduction; the scale factor is 2.
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5?
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(-5, 5)
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(5, -5)
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(5, 10)
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(7.5, -2.5)
Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the dilation rule?
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(2x, 3y)
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(2/3 x, 2/3 y)
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(3/2 x, 3/2 y)
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(x + 2, y + 3)
Rectangle ABCD is dilated so that the coordinates of C' are (2, -1). What could be the dilation rule?
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(-2x, +1y)
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(1/2 x, 1/2 y)
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(2x, 2y)
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(x - 2, y - 1)
Quadrilateral RSTV is dilated so that the coordinates of S' are (3, 9). What was the scale factor of the dilation?
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0.6
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(1, 3)
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3/2
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3
Triangle ABC is dilated so that the coordinates of C' are (2, -1). What was the scale factor of the dilation?
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3
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2
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1/2
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1/3
Which algebraic expression could be the rule for a reduction?
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(x, y)→(2x, 2y)
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(x, y)→(5/2 x, 5/2 y)
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(x, y) →(0.5x, 0.5y)
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(x, y)→(5x, 5y)
The algebraic expression for an enlargement by a scale factor of 3 is...
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(x, y)→(3x, 3y)
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(x, y)→(3, 3)
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(3x, y)→(x, y)
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(x, y)→(3x)
Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?
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(12, -3)
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(12, -6)
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(3, -1.5)
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(8, -5)
Polygon ABCDE will be dilated by a scale factor of Which statement is NOT true of the dilation?
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The corresponding angles of the two polygons will be equal.
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The dilation will be an enlargement.
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The original and the image will be congruent.
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Polygon A'B'C'D'E' will be proportional to polygon ABCDE.
Enlargement or reduction? Find the scale factor!
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It's an enlargement; the scale factor is 3.
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It's a reduction; the scale factor is 1/3.
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It's a reduction; the scale factor is 1/2.
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It's an enlargement; the scale factor is 2.
Which could be the rule used to dilate ABC to A'B'C'?
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(5x, 5y)
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(3x, 3y)
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(1/3 x, 1/3 y)
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(2x, 2y)
Circle I is dilated to create Circle II. Which could be the scale factor of the dilation?
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5
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3/8
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8
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8/3
Figure S is dilated to create Figure T. Which could be the scale factor of the dilation?
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(x, y)→(2x, 2y)
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(x, y)→(1/2 x, 1/2 y)
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(x, y)→(3x, 3y)
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(x, y)→(4x, 6y)
Dilation rules use ______________ to change the ___________ of a shape.
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addition; location
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division; direction
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subtraction; orientation
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multiplication; size
Enlargement or reduction? Find the scale factor!
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It's an enlargement; the scale factor is 2.
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It's a reduction; the scale factor is 2/3.
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It's an enlargement; the scale factor is 3/2.
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It's a reduction; the scale factor is 3.
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A
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B
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C
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D
Which of the following is the algebraic representation for a dilation?
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(x, y) → (x, 3y)
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(x, y) → (3x, 3y)
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(x, y) → (x, y - 3)
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(x, y) → (.5x, .4y)
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F
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G
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H
0%
J
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A
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B
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C
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D
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A
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B
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C
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D
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F
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G
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H
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J
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A
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B
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C
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D
Rectangle ABCD has a length of 6 and a height ofIt is dilated by a scale factor of 3.What is true about the perimeter of A'B'C'D', the new rectangle?
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The perimeter of A'B'C'D' is the same as the perimeter of ABCD
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The perimeter of A'B'C'D' is the 3 times larger than the perimeter of ABCD
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The perimeter of A'B'C'D' is the 6 times larger than the perimeter of ABCD
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The perimeter of A'B'C'D' is the 9 times larger than the perimeter of ABCD
Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?
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72 square feet
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18 square feet
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36 square feet
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54 square feet
A rectangle is dilated by a scale factor ofWhat happens to the area?
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doubles
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triples
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quadruples
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not enough information
A dilation always produces a similar figure. Similar figures have the same ______ but different ______.
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measure; shapes
0%
sizes; shapes
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value; measures
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shape; sizes
A dilation always produces a congruent figure.
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True
0%
False
Did the image enlarge, reduce or none of the above?
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Enlarge
0%
Reduce
0%
None of the above
Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?
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0%
Yes, enlarge
0%
Yes, reduce
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No
Under a dilation, which scale factor will result in a congruent image?
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0%
-2
0%
0
0%
1
0%
1/2
Choose the correct scale factor:
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0%
2
0%
3
0%
1/3
0%
1/2
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
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½
0%
¼
0%
4
0%
2
Dilate Point B by a scale factor of 1/2
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(1.5,-4)
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(-1.5,1)
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(-1,-1.5)
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(-2,-2)
How do you write the algebraic notation when the scale factor is 3?
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(x, y) goes to (1/3x, 1/3y)
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(x, y) goes to (-3x, -3y)
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(x, y) goes to (x + 3, y + 3)
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(x, y) goes to (3x, 3y)
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