Which transformations were used to create triangle A'B'C'?

The third answer. Because the triangle is changed in size which is a dilation and since it is bigger you can assume by two. And then you can rule out the last one because if it rotated ninety degrees by the origin it would be in the quadrant under the original triangle.

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ap8997154 ap8997154 · Answer 2 · 2022-06-07T09:24:44+02:00

The transformation done is dilation by a scale factor of 2 and a reflection across the y-axis. The correct option is 3.

What is transformation?

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

The transformation done to the triangle can be found by checking the translation applied to the coordinates of the triangle, therefore,

A = (1, 5) ⇒ reflection across y-axis ⇒ (-1, -5) ⇒ dilation of 2 ⇒ (-2, -10)

B = (4, 5) ⇒ reflection across y-axis ⇒ (4, 5) ⇒ dilation of 2 ⇒ (-8, -10)

C = (1, 2) ⇒ reflection across y-axis ⇒ (-1, -2) ⇒ dilation of 2 ⇒ (-2, -4)

Hence, The transformation done is dilation by a scale factor of 2 and a reflection across the y-axis. Thus, the correct option is 3.

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