Question

Which of the following BEST explains why the triangles are congruent?

A
Because angles U and Q are congruent, angles T and V must also be congruent to angles P and R, respectively.

B
A rotation that carries angle U and sides TU¯¯¯¯¯ and UV¯¯¯¯¯ onto angle Q and sides PQ¯¯¯¯¯ and QR¯¯¯¯¯, respectively, also carries △TUV onto △PQR.

C
A rotation that carries side UV¯¯¯¯¯ onto side PQ¯¯¯¯¯ also carries △TUV onto △PQR.

D
Because TU¯¯¯¯¯ is congruent to PQ¯¯¯¯¯, TV¯¯¯¯¯ must be congruent to PR¯¯¯¯¯, so the triangles are congruent by SSS.

Answer 1

Answer:

option B is true by SAS congruency criteria.. because here 2 sides are equal along with it's including corresponding angle.

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Answer 2

The only correct option will be option b)

The various conditions for congruence of triangles are RHS, SAS .

This case will be congruent by SAS condition of congruence as two sides are shown to be equal according to the condition and also the angle between them is same. Thus, it fully satisfies the SAS condition for congruence of triangles and option b is true.