The Triangle and Its Properties Test

Result

The Triangle and Its Properties Test - 13

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

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

A

B

C

D

Solution

Acute scalene triangle has three different angles. The last option is not an acute scalene triangle, because the three angles are equal.
Question 2
1 / -0

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

A
$${80}^{o}$$

B
$${100}^{o}$$

C
$${110}^{o}$$

D
$${115}^{o}$$

E
Cannot be determined from the given information

Solution

$$\angle BCA=\angle DCE$$ (Vertically opposite angles)
$$\Rightarrow \angle BCA=45^{\circ}$$
Now in $$\triangle ABC$$ using angle sum property
$$\angle BAC+\angle CBA+\angle BCA=180^{\circ}$$
$$\Rightarrow \angle BAC+{ 35 }^{ \circ }+{ 45 }^{ \circ }={ 180 }^{ \circ }\\ \Rightarrow \angle BAC={ 180 }^{ \circ }-{ 80 }^{ \circ }\\ \Rightarrow \angle BAC={ 100 }^{ \circ }$$
Question 3
1 / -0

In the following figure, what is the value of $$y$$ in terms of $$x$$?

A
$$x + 80$$

B
$$80 - x$$

C
$$x + 100$$

D
$$x - 100$$

E
$$100 - x$$

Solution

In the given figure, $$y$$ is an exterior angle where as $$x$$ and $$100$$ is are interior angles of the triangle.
We know, exterior angle is equal to sum of two opposite interior angles.
So as per the problem,
$$ { y= } { x } + { 100 } $$
Question 4
1 / -0

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

A

B

C

D

Solution

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.
Question 5
1 / -0

An ______ angle is an angle created by the side of a shape and a line extended from an adjacent side.

A
interior

B
exterior

C
opposite

D
same

Solution

An exterior angle is an angle created by the side of a shape and a line extended from an adjacent side.
Example:
Question 6
1 / -0

Find the name of the triangle.

A
acute isosceles triangle

B
acute scalene triangle

C
acute obtuse triangle

D
acute equilateral triangle

Solution

The given triangle is an acute equilateral triangle, because the three angles are equal.
Question 7
1 / -0

Find the measure of the missing angle in the triangle below.

A
$$35^o$$

B
$$40^o$$

C
$$45^o$$

D
$$50^o$$

E
$$55^o$$

Solution

By angle sum property, the sum of angles is $$180^o$$.
If we subtract the two given angles from $$ 180^0 $$, the result will be the missing angle which is $$ = 180^0 - 95^0 - 35^0 = 50^0 $$.
Therefore, the missing angle is $$ 50^0 $$.
Question 8
1 / -0

In a triangle $$ABC$$, $$AB=AC$$, then $$\triangle ABC$$ is a/an ............ triangle.

A
right angled

B
equilateral

C
isosceles

D
scalene

Solution

Given,
In $$\triangle ABC, AB = AC$$

We know, if two sides of a triangle are equal then the triangle is an isosceles triangle.

Thus, $$\triangle ABC$$ is an isosceles triangle.

Hence, option $$C$$ is correct.
Question 9
1 / -0

Which of the following has no lines of symmetry ?

A
A scalene triangle

B
An isosceles triangle

C
An equilateral triangle

D
All of these

Solution

$$\Rightarrow$$ An equilateral triangle has three lines of symmetry.
$$\Rightarrow$$ An Isosceles triangle has one line of symmetry.
$$\Rightarrow$$ A scalene triangle does not have any line of symmetry.
$$\therefore$$ Correct answer is option $$A$$.
Question 10
1 / -0

If $$a, b$$ and $$c$$ are the sides of a triangle, then __________.

A
$$a-b > c$$

B
$$c > a +b$$

C
$$c =a+b$$

D
$$b< c+a$$

Solution

This problem is totally based on the theorem which says any triangle with sides let say $$a , b ,c $$, then
$$a+b > c$$ and
$$c+b > a$$ and
$$c+a > b$$
Therefore, option D is correct.