Question

determine whether δi and δii are congruent. if the triangles are congruent, state the reason why, selecting from sss, sas, and asa. (more than one reason may be possible )

select all that apply
□ asa
□ sss
□ sas
□ the triangles are not congruent.
□ there is not enough information to prove that the triangles are congruent or the triangles are not congruent.

Explanation:

Step1: Analyze triangle markings

The graph shows two triangles intersecting. Triangle I and Triangle II have two pairs of corresponding sides marked equal (red tick marks) and a common included angle (vertical angles, which are equal).

Step2: Match with congruence criteria

SAS (Side-Angle-Side) requires two sides and the included angle of one triangle to equal the corresponding parts of another. Here, the two marked sides and the included vertical angle satisfy SAS.

Answer:

SAS