Trapezoid ABCD is rotated on 180° about the origin. Draw the image A'B'C'D' of the given trapezoid and determine which of the following statements are true?
Select all correct statements.

A. A'D' ∥B'C'
B. A'B' ∥ D'C'
C. AD∥ A'D'
D. A'B' ∥ AB
E. AD ∥ B'C'

Respuesta :

Answer: B, C, D

Step-by-step explanation:

since it is rotated, the parallel sides stay parallel.

The trapezoid ABCD rotated to form A'B'C'D, A'B' ∥ D'C',

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

Rotation is a rigid transformation, hence it preserves the shape and size. If a point A(x, y) is rotated on 180° about the origin, the new point is A'(-x, -y).

Hence for the trapezoid ABCD rotated to form A'B'C'D, A'B' ∥ D'C',

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