Question

in the figure, fe = ls, m∠ysl = m∠hef and he = ys. complete the statement.△feh ≅ △______figure of trianglesoptions: lsy, ysl, syl, yel

Explanation:

Step1: Identify given congruent parts

We know \( FE = LS \), \( \angle HEF=\angle YSL \), and \( HE = YS \).

Step2: Apply SAS congruence criterion

The SAS (Side - Angle - Side) congruence 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, then the two triangles are congruent.

For \( \triangle FEH \) and \( \triangle YSL \):

• Side \( FE\cong LS \) (given)
• Included angle \( \angle HEF\cong\angle YSL \) (given)
• Side \( HE\cong YS \) (given)

So by SAS, \( \triangle FEH\cong\triangle YSL \)

Answer:

B. YSL