Question

Based only on the information given in the diagram, it is guaranteed that

ARST AUVW.
R
72°
S
TV
18⁰
A. True
B. False

Answer 1

True

Explanation -

In triangle SRT

angle R = 72°

angle T = 90°

angle S = 18° ( by angle sum property of a triangle)

in triangle VWU

angle W = 90°

angle V = 18°

angle W = angle T

side RS = side uv ( if two corresponding angles of two triangles are equal then their sides are also equal)

angle R = angle V

by angle side angle criteria both the triangles are congruent.