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Standard VII

Mathematics

Introduction to Congruence

For the two c...

Question

For the two congruent triangles $A B C$ and $P Q R$ as shown in the diagram, choose the correct pair.

a

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b

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x^{\circ}

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y^{\circ}

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5

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8

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65^{\circ}

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55^{\circ}

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Similar questions

If the two right triangles in the diagram above are congruent. choose the pairs of equal sides and angles.

Q. Two congruent triangles,

△ A B C a n d △ P Q R

can be symbolically represented as:

Q. Here,

△ A B C

and

△ P Q R

are congruent by SAS rule. Pair the congruent parts.

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. For two given congruent triangles ABC and PQR, how many correspondences are possible?

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For the two congruent triangles ABC and PQR as shown in the diagram, choose the correct pair.

\N

For the two congruent triangles $A B C$ and $P Q R$ as shown in the diagram, choose the correct pair.