Answered

Quadrilateral ABCD is rotated 145° about point T. The result is quadrilateral A'B'C'D'. Which congruency statement is correct?


ABCD ≅ A'B'C'D'

ABCD ≅ A'D'C'B'

CDAB ≅ A'D'C'B'

CDAB ≅ C'B'A'D'

Verified Answer :

W0lf93

The congruency statement should be that which shows the congruency of the corresponding angle and the sides. In the rotation of the polygon, the angle A is congruent with angle A' still. The same is true for all the angles and sides. The congruency statement is therefore,

ABCD is congruent to A'B'C'D'

The answer to this item is letter A.

The quadrilateral is just rotated so, the dimension will be the same.

The quadrilateral ABCD is congruent A'B'C'D' that is ABCD ≅ A'B'C'D'.

What is a quadrilateral?

A polygon has four sides and four vertices and the sum of internal angles of a quadrilateral is 360 degrees.

Given

ABCD is a Quadrilateral.

To find

A'B'C'D' is congruent to ABCD.

How to find congruency?

The quadrilateral is rotated 145 degrees about point T.

Let T is on vertice A.

Then AB=A'B'BC=B'C'CD=C'D'AD=A'D'

Then the ABCD is congruent A'B'C'D' because all the sides are equal to the corresponding sides.

Thus, ABCD is congruent A'B'C'D' that is ABCD ≅ A'B'C'D'.

More about the quadrilateral link is given below.

https://brainly.com/question/6321910

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