# Properties of Triangle

This is an MCQ based on the Properties of the triangle.

Which includes the concepts of Congruence of Triangles, Criteria for Congruence, properties of Triangles, SSS, and RHS congruence rule.

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In △ABC and △DEF, AB = DE and ∠A = ∠D.Then two triangles will be congruent by SA axiom if:

BC = EF AC = EF AC = DE BC = DE

If the altitudes from vertices of a triangle to the opposite sides are equal, then the triangles is

Scalene Isosceles Equilateral Right-angled

D is a Point on the Side BC of a △ABC such that AD bisects ∠BAC then:

BD = CD CD > CA BD > BA BA > BD

If ΔABC ≅ ΔPQR then which of the following is true:

CA = RP AB = RP AC = RQ CB = QP

If two triangles ABC and PQR are congruent under the correspondence A ↔ P, B ↔ Q, and C ↔ R, then symbolically, it is expressed as

ΔABC ≅ ΔPQR ΔABC = ΔPQR ΔABC and ΔPQR are scalene triangles ΔABC and ΔPQR are isosceles triangles

In ΔABC, AB = AC and ∠B = 50°, then find ∠C.

50° 40° 80° 120°

D is a point on the side BC of a ΔABC such that AD bisects ∠BAC. Then

BD = CD BA > BD BD > BA CD > CA

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be

3.6 cm 4.1 cm 3.8 cm 3.4 cm

In ΔPQR, if ∠R > ∠Q, then

QR > PR PQ > PR PQ < PR QR < PR

In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:

70° 110° 55° 130°

A triangle in which two sides are equal is called:

Scalene triangle Equilateral triangle Isosceles triangle None of the above

In a right triangle, the longest side is:

Perpendicular Hypotenuse Base None of the above

If AB = QR, BC = PR and CA = PQ, then

∆ PQR ≅ ∆ BCA ∆ BAC ≅ ∆ RPQ ∆ CBA ≅ ∆ PRQ ∆ ABC ≅ ∆ PQR

If AB/XY = BC/YZ = AC/XZ then, ∆ABC & ∆XYZ are similar according to which test?

AAA test AA test SAS test SSS test

If ∠D = ∠L, ∠E = ∠M then, ∆DEF & ∆LMN are similar according to which test?

AAA test AA test SAS test SSS test

If ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R then, ∆ABC & ∆PQR are similar according to which test?

AAA test AA test SAS test SSS test

In two similar triangles ∆ABC and ∆DEF, AB = 15cm, DE = 5cm. If AL and DM are the altitudes of the triangles ABC, DEF respectively, then what will be the ratio of their altitudes?

3 : 1 1 : 3 1 : 2 2 : 1

The perimeters of two similar triangles ABC, PQR is 64 cm and 24 cm respectively. If PQ is 12 cm what will be the length of AB?

30 cm 32 cm 12 cm 16 cm

In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are

Isosceles but not congruent

Isosceles and congruent

Congruent but not isosceles

Neither congruent nor isosceles

Which of the following is not a criteria for congruence of triangles?

SAS

ASA

SSA

SSS

Quiz/Test Summary
Title: Properties of Triangle
Questions: 20
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