## Triangles IQ Test Quiz Instructions:

**10**.

## Triangles Quiz Test Questions and Options:

**Direction:**

If ABC and PQR are similar triangles in which <A = 47^{o} and <Q = 83^{o}.

**Question:**

Then <C is:

A: 80^{o}

B: 70^{o}

C: 60^{o}

D: 50^{o}

**Direction:**

**Question:**

In the figure given which of the following statement is true?

A: AC = CD

B: BC + CD

C: AD < CD

D: AB = BD

**Direction:**

In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm.

**Question:**

The length of the smallest side of the triangle PQR is:

A: 7 cm

B: 10 cm

C: 8 cm

D: 6 cm

**Direction:**

AB and CD bisect each other at O. If AD = 6 cm.

**Question:**

Then BC is:

A: 7 cm

B: 4.8 cm

C: 5.9 cm

D: 6 cm

**Direction:**

In a triangle ABC, <A = 90^{o}, AL is drawn perpendicular to BC.

**Question:**

Then <BAL is equal to:

A: ∠ACB

B: ∠B - ∠BAL

C: ∠BAC

D: ∠ALC

**Question:**

The point of intersection of the altitudes of a triangle is called its __________.

A: Incentre

B: Orthocentre

C: Centroid

D: Excentre

**Direction:**

In Δ PQR, PS is the bisector of ∠P and PT ⊥ OR.

**Question:**

Then ∠TPS is equal to:

A: 90^{o} - 1/2 ∠R

B: 90^{o} + 1/2 ∠Q

C: 1/2 (∠ Q - ∠ R)

D: ∠Q + ∠ R

**Direction:**

Two right angled triangles are congruent if:

1) The hypotenuse of one triangle is equal to the hypotenuse of the other.

2) A side for one triangle is equal to the corresponding side of the other.

3) Sides of the triangles are equal.

4) An angle of the triangle are equal.

**Question:**

The correct ones Of these are combination of:

A: 1 and 2

B: Only 4

C: 2 and 3

D: 1 and 3

**Direction:**

Consider the following statements:

1) Every equilateral triangle is necessarily an isosceles triangle.

2) Every right-angled triangle is necessarily an isosceles triangle.

3) A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle.

**Question:**

The correct statements are:

A: All

B: 1 and 3

C: 2 and 3

D: 1 and 2

**Direction:**

Consider the following statements:

1) Three sides of a triangle are equal to three sides of another triangle, then the triangles are congruent.

2) If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent.

**Question:**

Which Of these statements are correct:

A: 1 is true and 2 is false

B: None

C: 1 and 2 both are true

D: 1 is false and 2 is true

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