Question

The figures shown above are similar. Write a similarity statement. The images are not drawn to scale.

A. trapezoid GHIJ ~ trapezoid KLMN
B. trapezoid GHIJ ~ trapezoid MNLK
C. trapezoid GHIJ ~ trapezoid NMLK
D. trapezoid GHIJ ~ trapezoid NMKL

Answer 1

the answer would be c

Answer 2

The correct option is C.

Explanation:

From the given figure it is clear that in figure GHIJ and NMLK,

`\angle G\cong \angle N`

`\angle H\cong \angle M`

`\angle I\cong \angle L`

Since the sum of interior angles of a quadrilateral is 360 and three corresponding angles are congruent, therefore the fourth angle is also congruent.

`\angle J\cong \angle K`

Corresponding angles of similar figures are congruent. So,

Trapezoid GHIJ ~ Trapezoid NMLK

Therefore the correct option is C.