Question

name the postulate or theorem that can be used to show that the triangles are congruent. then explain why the statement below is true.

\\(\overline{ma} \cong \overline{ea}\\)

name the postulate or theorem that can be used to show that the triangles are congruent. choose the correct answer below.

a. side-angle-side (sas) postulate
b. angle-angle-side (aas) theorem
c. angle-side-angle (asa) postulate
d. side-side-side (sss) postulate

Explanation:

Identify given congruent parts from the geometric markings

$$
LATEXBLOCK0
$$

Identify the shared side

$$ \overline{TA} \cong \overline{TA} \quad \text{(Reflexive Property of Congruence)} $$

Determine the congruence postulate

$$ \text{Two angles and the included side of } \triangle MTA \text{ are congruent to two angles and the included side of } \triangle ETA \implies \text{ASA Postulate} $$

Answer:

• A. side-angle-side (SAS) postulate
• B. angle-angle-side (AAS) theorem
• C. angle-side-angle (ASA) postulate (Correct answer)
• D. side-side-side (SSS) postulate