Congruence of Triangles Test

Result

Congruence of Triangles Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

A: Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other.

R: Two triangles are congruent if two sides and the included angle of one are equal to the corresponding two sides and included angle of the other.

Given A & R, which of the following statements is correct?

A
A is false and R is the correct explanation of A.

B
A is true and R is the correct explanation of A.

C
is true and R is false.

D
A is false and R is true.

Solution

A is false and R is the correct explanation of A.
Question 2
1 / -0

A In ΔABC and ΔPQR, AB=x cm, BC=y cmand CA=z cm. What are the measures of sides PQ, QR and RP (respectively) of ΔPQR if ΔABC≅ΔABC≅ΔPQR?

A
x cm, y cm, z cm

B
y cm, x cm, z cm

C
x cm, z cm, y cm

D
z cm, x cm, y cm

Solution

Corresponding parts of congruent triangles are equal. So, PQ=AB=x cm, QR=BC=y cm and RP=CA=z cm.
Question 3
1 / -0

If ΔABC≅ΔPRQ, then ∠B and PQ are respectively equal to

A
∠P and AC

B
∠P and BC

C
∠R and AC

D
∠Q and AB

Solution

Since, ΔABC≅ΔPRQ ∴ Their corresponding parts are equal. ∴ ∠B=∠Rand PQ=AC