Congruence of Triangles Test

Result

Congruence of Triangles Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

If for ΔPQR and ΔTUV, the correspondence RPQ ↔ VTU gives a congruence, then which of the following is not true?

A
RP = VT

B
PQ = VU

C
∠P = ∠T

D
∠U = ∠Q

Solution

If RPQ ↔ VTU gives a congruence, then

RP = VT, PQ = TU, RQ = VU, ∠R = ∠V, ∠P = ∠T and ∠Q = ∠U.

Hence, PQ = VU is not correct.
Question 2
1 / -0

If in two triangles PQR and DEF, PQ = QR, QR = EF and ∠D = ∠P, then which of the following statements is correct?

A. Both these triangles are congruent as well as equilateral.
B. Both these triangles are congruent.
C. Both these triangles are equilateral.
D. None of these

A
A

B
B

C
C

D
D

Solution

In ΔPQR and ΔDEF,
PQ = QR, QR = EF and ∠D = ∠P

Hence, we cannot say that these triangles are congruent or equilateral as nothing about the sides DE and DF is mentioned.