Question

question
determine the relationship between the two triangles and whether or not they can be proven to be congruent.

answer attempt 1 out of 1.
the two triangles are related by
, so the triangles

the two triangles are related by
, so the triangles
side-side-side (sss)
side-angle-side (sas)
angle-side-angle (asa)
angle-angle-side (aas)
hypotenuse-leg (hl)
side-side-angle (ssa)
angle-angle-angle (aaa)

Explanation:

Step1: Analyze triangle markings

The triangles have two sides marked equal (indicating two pairs of congruent sides) and the included angle (the angle between the two sides) marked equal.

Step2: Identify congruence criterion

The Side - Angle - Side (SAS) criterion states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent. The markings show two sides and the included angle are equal, so the relationship is SAS.

Answer:

The two triangles are related by Side - Angle - Side (SAS), so the triangles can be proven congruent by SAS. The answer for the dropdown is: Side - Angle - Side (SAS)