ABC is congruent to PQR- What is the perimeter of PQR -A- 12 cmB- 13 cmC- 14 cmD- The length of at least one side of PQR should be given

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Standard VII

Mathematics

Congruent Triangles

ABC is congru...

Question

$△$ ABC is congruent to $△$ PQR. What is the perimeter of $△$ PQR?

12 cm

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13 cm

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14 cm

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The length of at least one side of $△$ PQR should be given

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Solution

The correct option is B
13 cm

Since congruent triangles have same perimeter,

Perimeter of $△$ ABC = Perimeter of $△$ PQR

Perimeter of $△$ ABC = 3 cm + 4 cm + 6 cm = 13 cm

So, Perimeter of $△$ PQR = 13 cm

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Similar questions

Q. Triangle

A B C

has sides of length

5, 6 a n d 7 u n i t s

while

△ P Q R

has a perimeter of

360 u n i t s

. If

△ A B C

is similar to

△ P Q R

, then find the sides of

△ P Q R

Q. In

△ A B C

and

△ P Q R

∠ A = ∠ Q

and

∠ B = ∠ R .

Which side of

△ P Q R

should be equal to side

B C

△ A B C

so that the two triangles are congruent?

Triangle ABC has side of length 5, 6 and 7 units, while triangle PQR has a perimeter of 360 units when will ΔABC similar to ΔPQR? And hence find the sides of the triangle PQR.

Q. The sides of triangle ABC measure 5, 6 and 7 units, while the perimeter of

△ PQR

is 360 units .
If

△ ABC

is similar to

△ PQR

, then find the sides of

△ PQR

Q. In

△ A B C

and

△ P Q R

∠ A = ∠ Q

and

∠ B = ∠ R .

Which side of

Δ

P Q R

should be equal to side

A B

Δ A B C

so that the two triangles are congruent?

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△ABC is congruent to △PQR. What is the perimeter of △PQR?

The correct option is B 13 cm Since congruent triangles have same perimeter, Perimeter of △ABC = Perimeter of △PQR Perimeter of △ABC = 3 cm + 4 cm + 6 cm = 13 cm So, Perimeter of △PQR = 13 cm

$△$ ABC is congruent to $△$ PQR. What is the perimeter of $△$ PQR?

The correct option is B
13 cm

Since congruent triangles have same perimeter,

Perimeter of $△$ ABC = Perimeter of $△$ PQR

Perimeter of $△$ ABC = 3 cm + 4 cm + 6 cm = 13 cm

So, Perimeter of $△$ PQR = 13 cm