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Two triangles XYZ and UVW are congruent. If the area of ∆XYZ is 58 cm², then the area of ∆UVW will be:
Question

Two triangles XYZ and UVW are congruent. If the area of ∆XYZ is 58 cm², then the area of ∆UVW will be:

A.

58 cm²

B.

116 cm²

C.

29 cm²

D.

15 cm²

Correct option is A

Two triangles XYZ and UVW are congruent
The area of ΔXYZ = 58 cm2
Two triangles are said to be congruent if their sides have the same length and their angles have the same measure.
Thus, two triangles can be superimposed side to side and angle to angle.
Congruent triangles are triangles having corresponding sides and angles to be equal.
Congruence is denoted by the symbol “≅”. From the above concept, we can write XYZ ≅ UVW.
They have the same area and the same perimeter.
The answer is 58.

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