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Standard X

Mathematics

Criteria for Similarity of Triangles

ABC is congru...

Question

$△$ ABC is congruent to triangle $△$ PRQ. Then pair the corresponding parts which are equal.

∠

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Side AB

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Side PQ

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∠

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∠

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Side AC

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Side PR

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∠

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Similar questions

If two triangles are congruent, the number of pairs of corresponding parts is

___

Q. Question 8
If

Δ A B C

and

Δ P Q R

are to be congruent, name one additional pair of corresponding parts.Which criterion did you use?

Q. Triangle ABC is congruent to triangle PQR. Which of the corresponding sides are equal?

If △ A B C and △ P Q R

are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

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

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△ABC is congruent to triangle △PRQ. Then pair the corresponding parts which are equal.

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$△$ ABC is congruent to triangle $△$ PRQ. Then pair the corresponding parts which are equal.