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Byju's Answer

Standard VII

Mathematics

Congruency of Triangles

∆CDE and ∆PQR...

Question

∆CDE and ∆PQR are congruent by the correspondence CDE ↔ RPQ. Write down the names of the pairs of congruent sides and angles.

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Solution

Pairs of corresponding sides Pairs of corresponding angles

(1) Side CD ≅ Side RP (1) ∠C ≅ ∠R

(2) Side DE ≅ Side PQ (2) ∠D ≅ ∠P

(3) Side CE ≅ Side RQ (3) ∠E ≅ ∠Q

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Similar questions

Q. In each example below, the given triangles are congruent in the given correspondence. Write their congruent sides and congruent angles.

Q. In

∆

PQR

≅

∆

MNS then state all pair of congruent angles and sides.

Q. If

Δ A B C and Δ P Q R

are congruent under the correspondence

A B C \leftrightarrow R P Q

, then the part of

Δ A B C

that correspond to

P Q

is:

Observe the information shown in pairs of triangles given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

(i)

From the information shown in the figure,

∆

ABC and

∆

PQR

∠

ABC

≅ ∠

PQR

seg BC

≅

seg QR

∠

ACB

≅

∠

PRQ

∴ ∆

ABC

≅

∆

PQR .......

3243432

test

∴ ∠

BAC

≅

3243432

.......corresponding angles of congruent triangles.

\begin{array}{l} seg AB ≅ 1234 \\ and 1234 ≅ seg PR \end{array}\} . . . corresponding sides of congruent triangles

(ii)

From the information shown in the figure,

∆

PTQ and

∆

STR

seg PT

≅

seg ST

∠

PTQ

≅

∠

STR...... vertically opposite angles

∴ ∆

PTQ

≅

∆

STR .......

3243432

test

\begin{array}{l} ∴ ∠ TPQ ≅ 1234 \\ and 1234 ≅ ∠ TRS \end{array}\} . . . corresponding angles of congruent triangles

seg PQ

≅

3243432

corresponding sides of congruent triangles

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

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Pairs of corresponding sides	Pairs of corresponding angles
(1) Side CD ≅ Side RP	(1) ∠C ≅ ∠R
(2) Side DE ≅ Side PQ	(2) ∠D ≅ ∠P
(3) Side CE ≅ Side RQ	(3) ∠E ≅ ∠Q

∆CDE and ∆PQR are congruent by the correspondence CDE ↔ RPQ. Write down the names of the pairs of congruent sides and angles.

Pairs of corresponding sides Pairs of corresponding angles (1) Side CD ≅ Side RP (1) ∠C ≅ ∠R (2) Side DE ≅ Side PQ (2) ∠D ≅ ∠P (3) Side CE ≅ Side RQ (3) ∠E ≅ ∠Q

Pairs of corresponding sides Pairs of corresponding angles

(1) Side CD ≅ Side RP (1) ∠C ≅ ∠R

(2) Side DE ≅ Side PQ (2) ∠D ≅ ∠P

(3) Side CE ≅ Side RQ (3) ∠E ≅ ∠Q