Congruence of Triangles Test

Result

Congruence of Triangles Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statements is CORRECT?

Statement-1: 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.
Statement-2: Two triangles are congruent if two sides and the included angle of the one must be equal to the corresponding two sides and included angle of the other.

A
Only Statement-1

B
Only Statement-2

C
Both Statement-1 and Statement-2

D
Neither Statement-1 nor Statement-2
Question 2
1 / -0

In ΔABC and ΔDEF, AC=DF,AB=DE and BC=EF. By which property are ΔABC and ΔDEF congruent?

A
RHS property

B
SSS property

C
SAS property

D
ASA property

Solution

SSS property because all sides are equal
Question 3
1 / -0

Which of the following pair of triangles are congruent by RHS criterion?

A
(i) and (ii)

B
(iii) and (iv)

C
(i) and (iii)

D
(ii) and (iv)

Solution

(i) In ΔABC & ΔQRP, we have AB=QR=4cm BC=RP=5cm [Hypotenuse] ∠A=∠Q [Each90^o] ∴ ΔABC≅ΔQRP [RHS criterion]
Question 4
1 / -0

Two students drew a line segment each. What is the condition for them to be congruent?

A
They should be drawn with a scale.

B
They should be drawn on the same sheet of paper.

C
They should have different lengths.

D
They should have the same length.

Solution

Line segments of equal length are congruent.