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Which similarity statement is true?

Which similarity statement is true?-example-1
User Pavel Tarno
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1 Answer

14 votes
14 votes

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Answer:

(a) ΔWZY ~ ΔWXZ ~ ΔZXY

Explanation:

In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.

A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).

ΔWXZ lists sides in order short leg (WX), long leg (XZ).

ΔZXY lists sides in order short leg (ZX), long leg (XY).

The first similarity statement is correct.

__

You can compare this to an incorrect one, the last one, for example.

ΔYZW lists sides in order long leg (YZ), short leg (ZW).

ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.

User Anarchtica
by
2.5k points
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