By which congruency are the following pairs of triangles congruent-In - ABC and - PQR- AB-PQ- BC-QR and AC-PR

The correct option is A #160; SSS In triangles ABC and PQR , we have AB = PQ ....(Given) AC = PR ....(Given) BC = QR ....(Give ...

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SSS Criteria for Congruency

By which cong...

Question

By which congruency are the following pairs of triangles congruent:
In $Δ A B C$ and $Δ P Q R$ , $A B = P Q$ , $B C = Q R$ and $A C = P R$

A S A

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S S S

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A A A

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A S S

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By which congruency are the following pair of triangles congruent:

In $Δ A B C$ and $Δ D E F$ , $∠ B = ∠ E = 90^{\circ}, A C = D F$ and $B C = E F .$

Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency:

(a) In $Δ A B C$ and $Δ D E F$ , $A B = D E, B C = E F$ and $∠ B =$ $∠ E$ .

(b) In $Δ A B C$ and $Δ D E F$ , $∠ B =$ $∠ E =$ $90^{0}$ , $A C = D F$ and $B C = E F$ .

(d) In $Δ A B C$ and $Δ P Q R$ , $A B = P Q, A C = P R$ and $B C = Q R$ .

(e) In $Δ A B C$ and $Δ P Q R$ , $B C = Q R$ , $∠ A =$ $90^{\circ}$ , $∠ C =$ $∠ R =$ $40^{\circ}$ and $∠ Q =$ $50^{\circ}$ .

Δ A B C

A B = 5

B C = 6

A C = 7

Δ P Q R - Δ A B C

Δ P Q R

360

Δ A B C

Δ P Q R

A B = Q R, B C = P R

C A = P Q,

1. In $Δ A B C$ and $Δ P Q R$ , $\frac{A B}{P Q} = \frac{A C}{P R}, ∠ A = ∠ P$	(a) AA similarity criterion
2. In $Δ A B C$ and $Δ P Q R$ , $∠ A = ∠ P, ∠ B = ∠ Q$	(b) SAS similarity criterion
3. In $Δ A B C$ and $Δ P Q R$ , $\frac{A B}{P Q} = \frac{A C}{P R} = \frac{B C}{Q R}$ $∠ A = ∠ P$	(c) SSS similarity criterion
4. In $Δ A C B, D E \| \| B C$ $\Rightarrow \frac{A D}{B D} = \frac{A E}{C E}$	(d) BPT

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