Question

Is triangle PQR congruent to triangle ACB? If so, which postulate can be used to prove the congruence?

A) No, the triangles are not congruent.
B) Yes, the congruence can be proved using the ASA Postulate.
C) Yes, the congruence can be proved using the SAS Postulate.
D) Yes, the congruence can be proved using the SSS Postulate.

Answer 1

what i got was A.)


it is easy

Answer 2

B) Yes, the congruence can be proved using the ASA Postulate.

Explanation:

Congruency: Two triangles are said to be congruent if they have same shape and size. If two triangles are congruent then their corresponding angles and sides will be same. There are 3 ways to see if the two triangles:

1. ASA (Angle-side-angle): Here the two corresponding angle are same and the the included side is also same.

2. SAS (Side-angle-side): Two corresponding sides and the angle between them are same.

3. SSS (Side-side-side) : When the corresponding sides are equal.

As can be clearly seen from the photograph. these two figures are congruent following the above mentioned ASA postulates.