By applying SAS congruence rule- you want to establish that PQR - FED- It is given that PQ-FE and RP-DE- What additional information is needed to establish the congruence-

Given PQR ≅ FED In SAS congruence rule two sides and one angle are equal to 2 sides amp; one included angle of another triangle.Hence ∠ P = ∠ F And ...

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Standard X

Mathematics

Converse of Basic Proportionality Theorem

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By applying $S A S$ congruence rule, you want to establish that $△ P Q R \equiv △ F E D$ . It is given that $P Q = F E$ and $R P = D E$ . What additional information is needed to establish the congruence?

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Solution

Given $P Q R ≅ F E D$
In SAS congruence rule two sides and one angle are equal to 2 sides & one included angle of another triangle.
Hence $∠ P = ∠ F$
And
$∠ Q ≅ ∠ E$ SAS means angle between $2$ sides.

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By applying SAS congruence rule, you want to establish that △PQR≡△FED. It is given that PQ=FE and RP=DE. What additional information is needed to establish the congruence?

Given PQR≅FEDIn SAS congruence rule two sides and one angle are equal to 2 sides & one included angle of another triangle.Hence ∠P=∠FAnd∠Q≅∠E SAS means angle between 2 sides.

By applying $S A S$ congruence rule, you want to establish that $△ P Q R \equiv △ F E D$ . It is given that $P Q = F E$ and $R P = D E$ . What additional information is needed to establish the congruence?

Given $P Q R ≅ F E D$
In SAS congruence rule two sides and one angle are equal to 2 sides & one included angle of another triangle.
Hence $∠ P = ∠ F$
And
$∠ Q ≅ ∠ E$ SAS means angle between $2$ sides.