In the figure aove, $$C$$ is the intersection of $$\bar { AD } $$ and $$\bar { BE } $$. If it can be determined, what is the measure of $$\angle BAC$$?

Cannot be determined from the given information

MCQ Questions for Class 7 Maths The Triangle And Its Properties Quiz 3

If a triangle is given

Δ P Q R

$\displaystyle \Delta PQR$ , then ______ is the hypotenuse.

0%
PQ
0%
PR
0%
QP
0%
RQ

If one acute angle of the right angled triangle is half of the other, then the smallest angle is:

0%
$\displaystyle { 90 }^{ o }$
0%
$\displaystyle { 60 }^{ o }$
0%
$\displaystyle { 40 }^{ o }$
0%
$\displaystyle { 30 }^{ o }$

Explanation

Let the acute angle be

x

$x$ .

Given, the acute angle is half of the other.

Then the other angle is

2 x

$2x$ .

We know, by angle sum property, the sum of angles of a triangle is

180^{o}

$\displaystyle { 180 }^{ o }$ .

⟹

$\implies$

90^{o} + 2 x + x = 180^{o}

$\displaystyle { 90 }^{ o }+2x+x={ 180 }^{ o }$

⟹

$\implies$

3 x = 180^{o} - 90^{o}

$\displaystyle 3x={ 180 }^{ o }-{ 90 }^{ o }$

⟹

$\implies$

x = \frac{90^{o}}{3}

$\displaystyle x=\frac { { 90 }^{ o } }{ 3 }$

⟹

$\implies$

x = 30^{o}

$\displaystyle x={ 30 }^{ o }$ .

Hence, the angles are:

90^{o}, x = 30^{o}

$90^o, x=30^o$ and

2 x = 2 \times 30^{o} = 60^{o}

$2x=2\times30^o=60^o$ .

Here,

30^{o}

$30^o$ is the smallest angle.

Therefore, option

D

$D$ 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.

0%
Less than a right angle
0%
More than a right angle
0%
Not a right angle
0%
Right angle

Explanation

a^{2} + b^{2} = c^{2}

$\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$ , 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.

0%
isosceles
0%
equilateral
0%
scalene
0%
acute

Which one of the following figure is not a scalene triangle?

Explanation

The second option is not a scalene triangle, because it has

2

$2$ equal sides.

A triangle that has an angle greater than ____ is called as obtuse triangle.

0%
$30^{o}$
0%
$60^{o}$
0%
$80^{o}$
0%
$90^{o}$

Explanation

A triangle that has an angle greater than

90^{o}

$90^{o}$ is called as obtuse triangle.

A scalene triangle has three different side lengths and three different ______.

0%
radius
0%
angles
0%
arc
0%
symmetry

Identify the name of the triangle.

0%
isosceles
0%
equilateral
0%
scalene
0%
right-angled

A ______ triangle is a triangle with one angle that is exactly

90^{o} .

$90^{o}.$

0%
right angled
0%
acute
0%
obtuse
0%
scalene

Explanation

A right angled triangle is a triangle with one angle that is exactly

90^{o} .

$90^{o}.$

A triangle that has an angle greater than

90^{o}

$90^{o}$ is called as ______ triangle.

0%
acute
0%
right angled
0%
equilateral
0%
obtuse

Explanation

A triangle that has an angle greater than

90^{o}

$90^{o}$ is called as obtuse triangle.

Identify the obtuse triangle.

Explanation

A triangle that has an angle greater than

90^{o}

$90^{o}$ is called as obtuse triangle.

An obtuse triangle will have one and only one _______ angle.

0%
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}

$180^{o}$ .
If there are two obtuse angles or an obtuse and a right angle the sum will exceed

180^{o}

$180^{o}$ .

A right triangle is a triangle with one angle that is exactly ____ degrees.

0%
$30^o$
0%
$45^o$
0%
$90^o$
0%
$180^o$

Explanation

A right triangle is a triangle with one angle that is exactly

90^{o}

$90^o$ .

Identify the triangle.

0%
obtuse
0%
acute
0%
isosceles
0%
right angled

Explanation

Acute triangle is that which has all angles less than

90^{o}

$90^o$ .
So, the name of the figured triangle is an acute angled triangle.

Which one of the following triangle is not an obtuse triangle?

Explanation

A triangle that has an angle greater than

90^{o}

$90^{o}$ is called as obtuse angled triangle.
Here, the third option has one angle equal to

90^{o}

$90^{o}$ which is right angled triangle is not an obtuse triangle.

Find the name of the triangle.

0%
acute
0%
obtuse
0%
scalene
0%
isosceles

Explanation

A triangle that has an angle greater than

90^{o}

$90^{o}$ is called as obtuse triangle.
So, the name of the triangle is obtuse triangle.

Acute triangle that has all angles less than ______.

0%
$45$ degrees
0%
$60$ degrees
0%
$90$ degrees
0%
$120$ degrees

Explanation

Acute triangle that has all angles less than

90

$90$ degrees.

What kind of triangle is shown in the figure?

0%
Obtuse
0%
Right-angled
0%
Acute
0%
Isosceles

Identify the acute triangle.

Explanation

Acute triangle that has all angles less than

90^{o} .

$90^{o}.$
So, the first figure is an acute triangle.

What type of triangle is shown in the figure?

0%
Obtuse
0%
Right angled
0%
Isosceles
0%
Acute

Explanation

Acute triangle that has all angles less than

90^{o}

$90^o$ .
So, the figure shows a triangle which is an acute triangle.

What type of triangle is shown in the figure?

0%
Acute
0%
Right angled
0%
Isosceles
0%
Obtuse

Explanation

Acute triangle is that has all angles less than

90^{o}

$90^o$ .
So, the figure shows triangle is an acute triangle.

________ triangle that has all angles less than

90

$90$ degrees.

0%
obtuse
0%
acute
0%
isosceles
0%
right angled

Explanation

Acute triangle that has all angles less than

90

$90$ degrees.

Which one of the following figure is an obtuse triangle?

Explanation

A triangle that has an angle greater than

90^{o}

$90^{o}$ is called as obtuse triangle.

How many medians are there in a triangle

P Q R

$PQR$ ?

0%
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

$3$ medians.

A ______ of a triangle is the line segment that joins any vertex of the triangle with the mid-point of its opposite side.

0%
mean
0%
vertex
0%
median
0%
area

How many medians are there in one triangle?

0%
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

$3$ medians in one triangle.

Which line segment is considered as median for the

Δ

$\Delta$

A B C

$ABC$ ?

0%
$\overline{AB}$
0%
$\overline{AD}$
0%
$\overline{BD}$
0%
$\overline{AC}$

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,

¯ ¯¯¯¯¯¯¯ ¯ B D

$\overline{BD}$ is the median.

Which one of the following is not an acute scalene triangle?

In the figure aove,

C

$C$ is the intersection of

¯ A D

$\bar { AD }$ and

¯ B E

$\bar { BE }$ . If it can be determined, what is the measure of

∠ B A C

$\angle BAC$ ?

0%
${80}^{o}$
0%
${100}^{o}$
0%
${110}^{o}$
0%
${115}^{o}$
0%
Cannot be determined from the given information

Explanation

∠ B C A = ∠ D C E

$\angle BCA=\angle DCE$ (Vertically opposite angles)

\Rightarrow ∠ B C A = 45^{\circ}

$\Rightarrow \angle BCA=45^{\circ}$

Now in

△ A B C

$\triangle ABC$ using angle sum property

∠ B A C + ∠ C B A + ∠ B C A = 180^{\circ}

$\angle BAC+\angle CBA+\angle BCA=180^{\circ}$

$\Rightarrow \angle BAC+{ 35 }^{ \circ }+{ 45 }^{ \circ }={ 180 }^{ \circ }\\ \Rightarrow \angle BAC={ 180 }^{ \circ }-{ 80 }^{ \circ }\\ \Rightarrow \angle BAC={ 100 }^{ \circ }$

Which one of the following figure is having an exterior angle?

CBSE Questions for Class 7 Maths The Triangle And Its Properties Quiz 3 - MCQExams.com

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Practice Class 7 Maths Quiz Questions and Answers

CBSE Questions for Class 7 Maths The Triangle And Its Properties Quiz 3 - MCQExams.com

0:0:3

Practice Class 7 Maths Quiz Questions and Answers

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