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Standard IX

Mathematics

Criteria for Congruency of Triangles

In ∆ABC and ∆...

Question

In ∆ABC and ∆PQR , AB=PQ , BC=QR CB and RQ are extended to X and Y respectively and ABX = PQY Prove that ∆ABC is congruent to ∆PQR

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Similar questions

Q. In

Δ A B C a n d Δ P Q R

, AB = PQ, BC = QR; CB and RQ are extended to X and Y respectively.

∠ A B X = ∠ P Q Y

. Prove that

Δ A B C = Δ P Q R

State True or False

△ A B C

and

△ P Q R

A B = P Q, B C = Q R

and

C B

and

P Q

are extended to

X

and

Y

respectively and

∠ A B X = ∠ P Q Y

then

△ A B C ≅ △ P Q R

In the following figure, the sides AB and BC and the median AD of triangle ABC are respectively equal to the sides PQ and QR and median PS of the triangle PQR. Prove that $Δ$ PQR are congruent.

Q. In

Δ P Q R

are the mid points of side AB, BC and AC respectively. PQ and QR are joined. Prove that BRQP is a parallelogram.

Q. In the following figures, two sides of

Δ A B C

A B

and

B C

and median

A D

are respectively equal to

P Q, Q R

and median

P M

Δ P Q R

. Prove that:

Δ A B C = Δ P Q R

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