Question

How can ΔABC be mapped to ΔXYZ?

Triangles A B C and X Y Z are shown. The lengths of sides A B and X Y are 25 centimeters. The lengths of sides A C and X Z are 29 centimeters. Angles B A C and Y X Z are 36 degrees. Triangle A B C is slightly higher and to the left of triangle X Y Z. Triangle A B C is rotated to form triangle X Y Z.

First, translate ____________________. Next, rotate ΔABC about B to align the sides and angles.

vertex B to vertex Z
vertex B to vertex Y
vertex A to vertex Z
vertex A to vertex Y

Answer 1

Answer:

Vertex B to vertex Y

Step-by-step explanation:

The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because

• AB = XY = 25 cm;
• AC = XZ = 29 cm;
• ∠A = ∠X = 36°.

Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that

• vertex A coincides with vertex X;
• vertex B coincides with vertex Y;
• vertex C coincides with vertex Z.

So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.

Answer 2

Answer:

B. vertex B to vertex Y

Step-by-step explanation:

Credit to the person above!!!