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

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Respuesta :

jalanibrooks240 jalanibrooks240 · Answer 1 · 2020-12-17T04:33:55+01:00

Answer: (B) vertex B vertex Y

Step-by-step explanation:

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MrRoyal MrRoyal · Answer 2 · 2022-03-30T13:01:53+02:00

ΔABC can be mapped to ΔXYZ by translating (b) Vertex B to vertex Y

Translation involves moving a shape along the coordinate plane

From the diagram, we can see that the triangles ABC and XYZ are congruent by the SAS congruent postulate,

This is so because

AB = XY = 25 cm;

AC = XZ = 29 cm;

∠A = ∠X = 36°.

The above means that:

Vertex A corresponds to vertex X;

Vertex B corresponds to vertex Y;

Vertex C corresponds to vertex Z.

Hence, ΔABC can be mapped to ΔXYZ by translating (b) Vertex B to vertex Y