Consider the figure below:

The triangles ABC and PQR are similar.

True

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False

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Solution

The correct option is A
True

In the given figure:

In $Δ A B C a n d Δ P Q R$

AB = PR

BC = PQ

AC = QR

Therefore, $Δ A B C ≅ Δ R P Q$ by SSS criterion.

Since all congruent triangles are similar triangles. $Δ A B C a n d Δ R P Q$ are also similar.

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Similar questions

Consider the figure below:

The triangles ABC and PQR are similar.

Δ A B C

Δ P Q R

Δ A B C

Δ P Q R

If $△ A B C$ and $△ P Q R$ in the below figure are similar, find the missing length x and the measure of $∠ R$

Consider the figure below and state whether the statement is true or false:

The two triangles are congruent by SAS criterion only.

State true or false:

Triangles shown below are similar.

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