State whether the triangles are similar. Number 16

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Sergey Andreev asked Dec 15, 2023

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State whether the triangles are similar. Number 16

Mathematics
high-school

Sergey Andreev asked Dec 15, 2023

by Sergey Andreev

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Answer:
$\triangle ABD \sim \triangle CBD$ by SAS

Explanation:

$\overline{BD} \cong \overline{BD}$ by the reflexive property, so
$\triangle ABD \cong \triangle CBD$ by SAS. Since all congruent figures are similar, this means that
$\boxed{\triangle ABD \sim \triangle CBD}$ by SAS.

Jmasterx answered Dec 19, 2023

by Jmasterx

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