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CBSE Questions for Class 7 Maths The Triangle And Its Properties Quiz 3 - MCQExams.com
CBSE
Class 7 Maths
The Triangle And Its Properties
Quiz 3
If a triangle is given $$\displaystyle \Delta PQR$$, then ______ is the hypotenuse.
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PQ
0%
PR
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QP
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RQ
Explanation
Given in the figure Sides PQ & RQ are shorter Than the side PR , and in a right angled triangle The longest side is the Hypotenuse.
So, PR is the Hypotenuse.
Therefore, B is the correct answer.
If one acute angle of the right angled triangle is half of the other, then the smallest angle is:
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$$\displaystyle { 90 }^{ o }$$
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$$\displaystyle { 60 }^{ o }$$
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$$\displaystyle { 40 }^{ o }$$
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$$\displaystyle { 30 }^{ o }$$
Explanation
Let the acute angle be $$x$$.
Given, the acute angle is half of the other.
Then the other angle is $$2x$$.
We know, by angle sum property, the sum of angles of a triangle is $$\displaystyle { 180 }^{ o }$$.
$$\implies$$ $$\displaystyle { 90 }^{ o }+2x+x={ 180 }^{ o }$$
$$\implies$$
$$\displaystyle 3x={ 180 }^{ o }-{ 90 }^{ o }$$
$$\implies$$
$$\displaystyle x=\frac { { 90 }^{ o } }{ 3 } $$
$$\implies$$
$$\displaystyle x={ 30 }^{ o }$$.
Hence, the angles are:
$$90^o, x=30^o$$ and $$2x=2\times30^o=60^o$$.
Here, $$30^o$$ is the smallest angle.
Therefore, option $$D$$ is correct.
In a triangle, if the square of one side is equal to the sum of the squares of the other two sides , then the angle opposite the first side is a.
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Less than a right angle
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More than a right angle
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Not a right angle
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Right angle
Explanation
If $$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$$, c is the hypotenuse and angle opposite to the hypotenuse is a right angle in Pythagoras theorem , so the angle opposite the first side that is the hypotenuse is a right angle.
Therefore, D is the correct answer.
Find the name of the triangle.
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isosceles
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equilateral
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scalene
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acute
Explanation
The name of the triangle is scalene triangle, because all the sides are different.
Which one of the following figure is not a scalene triangle?
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0%
0%
0%
Explanation
The second option is not a scalene triangle, because it has $$2$$ equal sides.
A triangle that has an angle greater than ____ is called as obtuse triangle.
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$$30^{o}$$
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$$60^{o}$$
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$$80^{o}$$
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$$90^{o}$$
Explanation
A triangle that has an angle greater than
$$90^{o}$$
is called as obtuse triangle.
A scalene triangle has three different side lengths and three different ______.
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radius
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angles
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arc
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symmetry
Explanation
A scalene triangle has three different side lengths and three different angles.
Identify the name of the triangle.
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isosceles
0%
equilateral
0%
scalene
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right-angled
Explanation
The diagram shows a scalene triangle.
A scalene triangle has no equal angles.
A ______ triangle is a triangle with one angle that is exactly $$90^{o}.$$
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right angled
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acute
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obtuse
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scalene
Explanation
A right angled triangle is a triangle with one angle that is exactly
$$90^{o}.$$
A triangle that has an angle greater than $$90^{o}$$ is called as ______ triangle.
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acute
0%
right angled
0%
equilateral
0%
obtuse
Explanation
A triangle that has an angle greater than $$90^{o}$$ is called as obtuse triangle.
Identify the obtuse triangle.
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0%
0%
0%
Explanation
A triangle that has an angle greater than $$90^{o}$$ is called as obtuse triangle.
An obtuse triangle will have one and only one _______ angle.
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acute
0%
obtuse
0%
scalene
0%
right angled
Explanation
An obtuse triangle will have one and only one obtuse angle, because the sum of angles of a triangle is $$180^{o}$$.
If there are two obtuse angles or an obtuse and a right angle the sum will exceed
$$180^{o}$$.
A right triangle is a triangle with one angle that is exactly ____ degrees.
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$$30^o$$
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$$45^o$$
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$$90^o$$
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$$180^o$$
Explanation
A right triangle is a triangle with one angle that is exactly $$90^o$$.
Identify the triangle.
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obtuse
0%
acute
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isosceles
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right angled
Explanation
Acute triangle is that which has all angles less than $$90^o$$.
So, the name of the figured triangle is an acute angled triangle.
Which one of the following triangle is not an obtuse triangle?
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0%
0%
0%
0%
Explanation
A triangle that has an angle greater than $$90^{o}$$ is called as obtuse angled triangle.
Here, the third option has one angle equal to
$$90^{o}$$ which is
right angled triangle is not an obtuse triangle.
Find the name of the triangle.
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0%
acute
0%
obtuse
0%
scalene
0%
isosceles
Explanation
A triangle that has an angle greater than $$90^{o}$$ is called as obtuse triangle.
So, the name of the triangle is obtuse triangle.
Acute triangle that has all angles less than ______.
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$$45$$ degrees
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$$60$$ degrees
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$$90$$ degrees
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$$120$$ degrees
Explanation
Acute triangle that has all angles less than $$90$$ degrees.
What kind of triangle is shown in the figure?
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Obtuse
0%
Right-angled
0%
Acute
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Isosceles
Explanation
The triangle which has one obtuse angle is known as an obtuse-angled triangle.
So, the figure shows an obtuse angled triangle.
Identify the acute triangle.
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0%
0%
0%
Explanation
Acute triangle that has all angles less than $$90^{o}.$$
So, the first figure is an acute triangle.
What type of triangle is shown in the figure?
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Obtuse
0%
Right angled
0%
Isosceles
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Acute
Explanation
Acute triangle that has all angles less than $$90^o$$.
So, the figure shows a triangle which is an acute triangle.
What type of triangle is shown in the figure?
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Acute
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Right angled
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Isosceles
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Obtuse
Explanation
Acute triangle is that has all angles less than $$90^o$$.
So, the figure shows triangle is an acute triangle.
________ triangle that has all angles less than $$90$$ degrees.
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obtuse
0%
acute
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isosceles
0%
right angled
Explanation
Acute triangle that has all angles less than $$90$$ degrees.
Which one of the following figure is an obtuse triangle?
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0%
0%
0%
0%
Explanation
A triangle that has an angle greater than $$90^{o}$$ is called as obtuse triangle.
How many medians are there in a triangle $$PQR$$?
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1
0%
2
0%
3
0%
4
Explanation
A median of a triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side.
So, here the triangle is having $$3$$ medians.
A ______ of a triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side.
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mean
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vertex
0%
median
0%
area
Explanation
A median of a triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side.
How many medians are there in one triangle?
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1
0%
2
0%
3
0%
4
Explanation
A median of a triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side.
So, there are $$3$$ medians in one triangle.
Which line segment is considered as median for the $$\Delta$$ $$ABC$$?
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$$\overline{AB}$$
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$$\overline{AD}$$
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$$\overline{BD}$$
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$$\overline{AC}$$
Explanation
A median of a triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side.
Therefore, $$\overline{BD}$$ is the median.
Which one of the following is not an acute scalene triangle?
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0%
0%
0%
0%
Explanation
Acute scalene triangle has three different angles. The last option is not an acute scalene triangle, because the three angles are equal.
In the figure aove, $$C$$ is the intersection of $$\bar { AD } $$ and $$\bar { BE } $$. If it can be determined, what is the measure of $$\angle BAC$$?
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$${80}^{o}$$
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$${100}^{o}$$
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$${110}^{o}$$
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$${115}^{o}$$
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Cannot be determined from the given information
Explanation
$$\angle BCA=\angle DCE$$ (Vertically opposite angles)
$$\Rightarrow \angle BCA=45^{\circ}$$
Now in $$\triangle ABC$$ using angle sum property
$$\angle BAC+\angle CBA+\angle BCA=180^{\circ}$$
$$\Rightarrow \angle BAC+{ 35 }^{ \circ }+{ 45 }^{ \circ }={ 180 }^{ \circ }\\ \Rightarrow \angle BAC={ 180 }^{ \circ }-{ 80 }^{ \circ }\\ \Rightarrow \angle BAC={ 100 }^{ \circ }$$
Which one of the following figure is having an exterior angle?
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0%
0%
0%
Explanation
An exterior angle is an angle created by the side of a shape and a line extended from an adjacent side.
So, The last figure is having an exterior angle.
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