Question

which congruence property could you use to prove these two triangles are congruent?
sas
both sss and sas
neither sss or sas
sss

Explanation:

Step1: Identify marked sides/angles

First triangle: two sides (one with 1 tick, one with 2 ticks) and the included angle between them are marked. Second triangle: two sides (one with 1 tick, one with 2 ticks) and a non-included angle are marked.

Step2: Analyze SSS congruence

SSS requires all three pairs of corresponding sides to be congruent. Only two pairs of sides are marked congruent; the third side has no matching tick marks, so SSS does not apply.

Step3: Analyze SAS congruence

SAS requires two pairs of corresponding sides to be congruent, and the included corresponding angles to be congruent. In the first triangle, the marked angle is included between the two marked sides, but in the second triangle, the marked angle is not included between the two marked sides. So the corresponding included angles are not confirmed congruent, meaning SAS does not apply.

Answer:

Neither SSS or SAS