Question

determine whether the pair of figures is similar. if so, find the scale factor. explain your reasoning.
a) yes; △ wyz ~△ lmk because the corresponding angles are congruent and the corresponding sides are proportional; 55/32.
b) no; ∠w ≠ ∠m
c) yes; △ wyz ~△ mlk because the corresponding angles are congruent and the corresponding sides are proportional; 41/25.
d) yes; △ wyz ~△ lmk because the corresponding angles are congruent and the corresponding sides are proportional; 11/4.

Explanation:

Step1: Check angle - congruence

In \(\triangle WYZ\), \(\angle W = 39^{\circ}\), \(\angle Y=51^{\circ}\), \(\angle Z = 90^{\circ}\). In \(\triangle LMK\), \(\angle M=42^{\circ}\), \(\angle L = 48^{\circ}\), \(\angle K=90^{\circ}\). Since \(\angle W
eq\angle M\), \(\angle Y
eq\angle L\), the corresponding angles are not congruent.

Answer:

B. no; \(\angle W
eq\angle M\)