Byju's Answer

Standard VII

Mathematics

Congruency of Triangles

Which informa...

Question

Which information is needed to make ABC congruent to PQR in the given figure?

PQ = AC

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PR = AB

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QR = AB

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PQ = AB

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Solution

The correct option is D PQ = AB

Suggest Corrections

Similar questions

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. To prove that

Δ D E F

and

Δ A B C

are congruent by SAS, what additional information is needed?

Q. In the figure AD = EC, which additional information is needed to show that

△ A B D

and

△ E B C

will be congruent by A - A - S test?

Q. In the adjacent figure,

s e g A D ≅ s e g E C

Which additional information is needed to show that

△ A B D

and

△ E B C

will be congruent by

A - A - S

test?

Q. Given

∠ A B C

is congruent to

∠ P Q R

. Then which of the following statements is true?