To write three similarity statements about the triangles and the reason that they are similar. Given that 12210203151.jpg

Question
Similarity
asked 2021-01-07
To write three similarity statements about the triangles and the reason that they are similar.
Given that
image

Answers (1)

2021-01-08
The triangle XYZ and the triangles XWZ and YWZ are right triangles.
Since,
\(\displaystyle\angle{Z}{W}{X}=\angle{Y}{Z}{X}=\angle{Y}{Z}{W}={90}^{{\circ}}\)
Also, midpoint of line XY divide the base proportionally.
Therefore, the sides are also proportional.
Therefore, by the rules of similarity, the triangles are proportional.
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