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Congruency Postulates

Identify the ...

Question

Identify the corresponding sides and corresponding angles in the following congruent triangles:

(a)

(b)

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Solution

(a) The corresponding sides are:

PQ and XY

QR and YZ

PR and XZ

The corresponding angles are:

∠P and ∠X

∠Q and ∠Y

∠R and ∠Z

(b) The corresponding sides are:

RQ and CB

QP and BA

RP and CA

The corresponding angles are:

∠Q and ∠B

∠R and ∠C

∠P and ∠A

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Similar questions

Q. Corresponding sides of congruent triangles in short we write c.s.c.t. and corresponding angles of congruent triangles in short we write ______.

Q. Which of the following statements are true and which of them are false?

(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two figures have equal areas, they are congruent.
(iv) If two triangles are equal in area, they are congruent.
(v) If two sides and one angle of a triangle are equal to the corresponding two sides and angle of another triangle, the triangle are congruent.
(vi) If two angles and any side of a triangle are equal to the corresponding angles and the side of another triangle then the triangles are congruent.
(vii) If three angles of a triangle are equal to the corresponding angles of another triangle then the triangles are congruent.
(viii) If the hypotenuse and an acute angle of a right triangle are equal to the hypotenuse and the corresponding acute angle of another right triangle then the triangle are congruent.
(ix) If the hypotenuse of a right triangle is equal to the hypotenuse of another right triangle then the triangles are congruent.
(x) If two triangles are congruent then their corresponding sides and their corresponding angles are congruent.

Q. Two triangles are said to be congruent if the sides and angles of one triangle are ___ the corresponding sides and angles of the other triangle.

Q. State the correspondence between the vertices, sides and angles of the following congruent triangles.
( a )

Δ P Q R ≅ Δ A B C

Δ X Y Z ≅ Δ M N O

In two triangles, if two corresponding sides and the included angle are equal, then the triangles are congruent.

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