Question

is there enough information to determine the triangle pair is congruent? if so, state the reason.

yes, asa
yes, hl
yes, sas
not enough information

Explanation:

Identify given congruent parts

Using the Triangle Congruence Postulates knowledge point

$$
LATEXBLOCK0
$$

Identify vertical angles

Using the Vertical Angles Theorem knowledge point

$$ \angle\text{vertical}_1 \cong \angle\text{vertical}_2 $$

Apply congruence postulate

Using the SAS Congruence knowledge point

$$ \text{Side-Angle-Side (SAS) is satisfied.} $$

Answer:

• Yes, ASA
• Yes, HL
• Yes, SAS (Correct answer)
• Not enough information