Question

if the two triangles are congruent, state how you know. if not, state
ot congruent.\

asa
aas
sas
sss
not congruent

Explanation:

Identify the given congruent sides

Using the Triangle Congruence Postulates knowledge point

• One pair of corresponding sides has double tick marks, indicating they are congruent.
• Another pair of corresponding sides has triple tick marks, indicating they are congruent.

Identify the vertical angles

Using the Vertical Angles Theorem knowledge point

• The two triangles share a vertex where their lines intersect.
• The angles opposite each other at this intersection are vertical angles, which are congruent.

Apply the congruence postulate

Using the SAS Congruence knowledge point

• The congruent vertical angles are located directly between the two pairs of congruent sides.
• This Side-Angle-Side relationship proves the two triangles are congruent.

Answer:

• (A) ASA
• (B) AAS
• (C) SAS (Correct answer)
• (D) SSS
• (E) not congruent