Triangles Test

Result

Triangles Test - 6

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 of the following is correct?

A
In an isosceles triangle altitude from the vertex bisects the base.

B
Each angle of an equilateral triangle is 65°.

C
Side opposite to equal angles of a triangle are unequal.

D
If the altitudes of a triangle are equal, then it is isosceles.

Solution

The correct statements are:

i. In an isosceles triangle altitude from the vertex bisects the base.

ii. Each angle of an equilateral triangle is 60°.

iii. The sides opposite to equal angles of a triangle are equal.

iv. If the altitudes of a triangle are equal, then it is equilateral.

Therefore, only option A is correct.

Hence, A is the correct answer.
Question 2
1 / -0

In a ΔABC, if ∠A = 45° and ∠B = 70°. Then which of the following is correct?

A
AC is the largest side and AB is the smallest.

B
AB is the largest side and BC is the smallest.

C
AC is the largest side and BC is the smallest.

D
AB is the largest side and AC is the smallest.

Solution

We have, ∠A = 45° and ∠B = 70°

Therefore,

∠A + ∠B + ∠C = 180°

∠C = 180° - 45° - 70°

∠C = 65°

Since, the side opposite to the greatest angle is largest. Therefore, side AC is largest.

Also, the side opposite to the least angle is the smallest. So, the side opposite to ∠A, i.e. side BC is the smallest.

Hence, C is the correct answer.
Question 3
1 / -0

In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of vertex angle of the triangle is

A
100°

B
120°

C
110°

D
130°

Solution

Let an isosceles triangle ABC shown below:

Now, ∠A is the vertex angle and ∠ B = ∠ C = base angles

Given: ∠A = 2(∠B + ∠C)

Also, we know that sum of angle of a triangle = 180°

Therefore,

∠A + ∠B + ∠C = 180°

2(∠B + ∠C) + ∠B + ∠ C = 180°

3(2∠B) = 180°

∠B = ∠C = 30°

Therefore,

∠A = 2(30° + 30°) = 120°

Hence, B is the correct answer.
Question 4
1 / -0

Which of the following is a criterion for congruency of triangles?

A
ASA

B
AAS

C
SSS

D
All of the above

Solution

The different criterion for congruency of triangles are

1. SAS Congruence

2. ASA Congruence

3. AAS Congruence

4. SSS Congruence

5. RHS Congruence

Hence, D is the correct answer.