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Triangle G H J is rotated 90 degrees about point X to form triangle S T R.

Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?
TR ≅ GJ
∠S ≅ ∠H
TS ≅ HG
∠R ≅ ∠G


Sagot :

The congruency statement is true TS ≅ HG. so option C is correct.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given information;

Triangle G H J is rotated 90 degrees about point X to form triangle S T R.

Triangle GHJ is rotated 90° about point X, resulting in triangle STR.

Now, if any triangle is rotated 90 degrees about a point the two sides will be ≅ to each other.

So, ST = GH

RT= HJ

SR= GJ

<S= <G

<T = <H

<R=<J

The side TS ≅ HG.

Hence, option (c) is correct.

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