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Question

Find the criteria to prove ΔABCΔPQR for the following conditions.

A
AA similarity
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B
SSS similarity
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C
SAS similarity
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Solution

Consider the ΔABC and ΔPQR

1. Given A=P and C=R
Two pair of corresponding angles are equal.

ΔABCΔPQR by AA similarity.

2. Given ABPQ=BCQR=ACPR
All three pair of corresponding sides are proportional.

ΔABCΔPQR by SSS similarity.

3. Given ACPR=BCQR & R=C
Two pair of corresponding sides are proportional and corresponding included angles are equal.

ΔABCΔPQR by SAS similarity.

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