Question

state if the triangles are congruent by sss, sas, asa, or hl. if the triangles are not congruent, “no”

Answer 1

Given:

Required:

We need to find whether the given triangles are congruent.

Explanation:

Recall that the dashes on the lines show they are equal in length.

$\bar{AC}\cong\bar{XZ}\text{ by a single dash.}$

$\bar{AB}\cong\bar{XY}\text{ by double dashes.}$

$\bar{BC}\cong\bar{YZ}\text{ by trible dashes.}$

All three sides of a triangle ABC are congruent to the corresponding three sides of the other triangle XYZ.

So the two triangles are congruent by SSS postulates.

Final answer:

The triangles are congruent by SSS.