The vertices of a triangle are located at F(-4, -2), G(2, 2), and H(0, -4). A sequence of transformations to triangle FGH results in triangle F'G'H', as shown below. Which sequence of transformations to triangle FGH results in triangle F'G'H'?

a.) a 90º clockwise rotation about the origin, then a dilation by a scale factor of 2 with a center of dilation at the origin

b.) a 90º counterclockwise rotation about the origin, then a dilation by a scale factor of 2 with a center of dilation at the origin

c.) a 90º counterclockwise rotation about the origin, then a dilation by a scale factor of 1 half with a center of dilation at the origin

d.) a 90º clockwise rotation about the origin, then a dilation by a scale factor of 1 half with a center of dilation at the origin

Respuesta :

Answer:

Its D

Step-by-step explanation:

The orgin of the triangle is one half and the triangle is counter clock wise so try that

The answer will be option d. a 90º clockwise rotation about the origin, then a dilation by a scale factor of 1 half with a center of dilation at the origin.

What is triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

Now here in the triangle the vertices are F(-4, -2), G(2, 2), and H(0, -4) so FGH is converted to traingle  F'G'H'.

First the triangle is rotated at a a 90º clockwise rotation about the origin, then a dilation by a scale factor of 1 half with a center of dilation at the origin.

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