Triangle TRS is rotated about point X, resulting in triangle BAC. Triangle T R S is rotated about point X to form triangle B A C

Question

3 years ago

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Triangle TRS is rotated about point X, resulting in triangle BAC. Triangle T R S is rotated about point X to form triangle B A C

. The lengths of sides T R and A B are congruent, the lengths of sides A C and R S are congruent, and the lengths of sides T S and B C are congruent. If AB = 10 ft, AC = 14 ft, and BC = 20 ft, what is RS? 10 ft 14 ft 20 ft 24 ft

Geography

1 answer:

Oksana_A [137] · Answer 1 · 2021-12-17T17:51:43+03:00

Answer:

RS = 14 ft

Explanation:

Rotation is a type of transformation that changes the orientation of a given shape or figure without any effects to its dimensions.

Thus, rotating ΔTRS about point X would not change the value of its sides to produce ΔBAC. So that;

/AB/ = /TR/

/AC/ = /RS/

/BC/ = /TS/

The two given triangles are congruent and they have the same values of sides.

Therefore,

/AC/ = /RS/ = 14 feet

Thus, /RS/ = 14 ft