Question

Whether the triangle are similar. if so write the similarity statement and if not what would be the sufficient to prove the triangle similar.Given:12210203141.jpg

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asked 2020-12-12

Whether the triangle are similar. if so write the similarity statement and if not what would be the sufficient to prove the triangle similar.
Given:
image

Expert Answers (1)

2020-12-13
Conclusion:
In triangle
RQZ and XYZ
\(\displaystyle\angle{Z}=\angle{Z}\) (common)
\(\displaystyle{R}{Q}{\mid}{\mid}{X}{Y}\)
therefore
\(\displaystyle\angle{Z}{Q}{R}=\angle{Z}{Y}{X}\) (corresponding)
thus
\(\displaystyle\triangle{R}{Q}{Z}\sim\triangle{X}{Y}{Z}\)
by AA similarity.
Thus
The triangle are similar.
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