Question

For each pair of triangles, tell:

a) Are they congruent? (b) If yes, write the triangle congruency statement. (c) Give the postulate that makes them congruent. If the triangles are not congruent, state why.

Answer 1

To determine if two triangles are congruent, we can use different methods such as side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), or hypotenuse-leg (HL). By comparing the lengths of the sides and the measures of the angles, we can determine if two triangles are congruent.

Step-by-step explanation:

For each pair of triangles, we need to determine if they are congruent. If they are congruent, we also need to write the triangle congruency statement and state the postulate that makes them congruent. If they are not congruent, we need to state why.

To determine if two triangles are congruent, we can use different methods such as side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS), or hypotenuse-leg (HL). By comparing the lengths of the sides and the measures of the angles, we can determine if two triangles are congruent.

For example, if triangle ABC is congruent to triangle DEF, we can write the congruency statement as ABC ≅ DEF and use the appropriate postulate, such as ASA, to state that the triangles are congruent.