Question

Three figures exist such that ABCD ≅ GHIJ and BCDA ≅ RSTU. If GH = 6 cm, HI = 8 cm, IJ = 10 cm, and GJ = 9 cm, what is TS?

Answer 1

D. 10cm

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Answer 2

Answer: TS=10cm

Explanation:

Given: ABCD ≅ GHIJ and BCDA ≅ RSTU such that GH = 6 cm, HI = 8 cm, IJ = 10 cm, and GJ = 9 cm

As ABCD ≅ GHIJ

then its corresponding sides should be equal.[∵corresponding parts of congruent figures are equal]

i.e. AB=GH=6 cm, BC=HI=8 cm, CD=IJ=10cm , AD=GJ=9cm..............(1)

Now ,also BCDA ≅ RSTU then

BC=RS=8 cm, CD=ST=10 cm, DA=TU=9 cm, AB=UR=6 cm....................[from(1)]

Hence, we got ST or TS= 10 cm.