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Q.

What is the length of TU if △PQR is congruent to △STU?

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a

7 cm

b

5 cm

c

Cannot be determined

d

6 cm

answer is B.

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Detailed Solution

Two figures are said to be congruent if and only if they have the same shape and size.

Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure.

Given: PQRSTU

By CPCT rule, corresponding parts of congruent triangles are equal.

Then, PQ=ST, QR=TU, PR=SU

and P=S, Q=T, R=U

Thus, QR=TU

TU=6 cm     [∵ QR = 6 cm]

Therefore, option B is the correct answer.

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What is the length of TU if △PQR is congruent to △STU?