Quadrilateral KLMN
 is similar to quadrilateral WXYZ
.


Which statement about these quadrilaterals must be true?
A.KLYZ=LMZW

B.Angle NKL
 is congruent to angle ZWX
.
C.KLWX=WZKN

D.Angle NKL
 is congruent to angle XYZ
.

Since quadrilateral \( KLMN \) is similar to quadrilateral \( WXYZ \), the corresponding angles of similar figures are congruent. Therefore, the correct answer is:

**B. Angle NKL is congruent to angle ZWX.**

This is because corresponding angles in similar quadrilaterals are congruent, and angle \( NKL \) corresponds to angle \( ZWX \).

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. What are the properties of similar polygons?
2. How do you determine which angles are corresponding in similar shapes?
3. How do side lengths of similar quadrilaterals compare?
4. What is the relationship between the perimeters of two similar quadrilaterals?
5. How can you prove two quadrilaterals are similar?

**Tip:** When two shapes are similar, not only are their corresponding angles congruent, but their corresponding sides are proportional.

Quadrilateral KLMN is similar to quadrilateral WXYZ. Which statement about these quadrilaterals must be true?
A. KLYZ=LMZW
B. Angle NKL is congruent to angle ZWX.
C. KLWX=WZKN
D. Angle NKL is congruent to angle XYZ.

Understand how to determine which angles are congruent when two quadrilaterals are similar. In this problem, quadrilaterals KLMN and WXYZ are similar, and you will learn how to identify corresponding angles and sides using the Similarity Theorem. Suitable for students in Grades 8-10.

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