### Home > CC4 > Chapter 7 > Lesson 7.1.4 > Problem 7-47

7-47.

Δ *XYZ*was reflected across*XZ*, as shown at right. Homework Help ✎How can you justify that the points

*Y*,*Z*, and*Y*′ all lie on a straight line?What is the relationship between Δ

*XYZ*and Δ*XY*′*Z*? Why?Read the Math Notes box for this lesson. Then make all the statements you can about the corresponding parts of these two triangles.

∠*YZX* = 90°

Remember that reflections do not change the size or shape of a figure.

Altogether, you should be able to make six statements.

Be sure to make them for all corresponding angles and sides.