Question

Two similar triangles are shown on the coordinate grid: (there’s a pic attached)

Which set of transformations has been preformed on triangle ABC to form triangle A’B’C’?
A) dilation by a scale factor of four followed by reflection across the X-axis
B) dilation by scale factor of two followed by reflection across the x-axis
C) dilation by a scale factor of four followed by reflection across the Y-axis
D) dilation by a scale factor of two followed by reflection across the y-axis

Answer 1

B) dilation by scale factor of two followed by reflection across the x-axis

Explanation:

Let's compare the points of the pre-image, ABC, to the image, A'B'C', we see that both x- and y-coordinates seem to be doubled from the pre-image to the image.

The coordinate of A, is (-2, -1)

B = (0, 0)

C = (1, -3)

Let's see the coordinates of the image A'B'C'.

A' = (-4, 2)

B' = (0, 0)

C' = (2, 6)

Here both the x- and y-coordinates, dilated by scale factor 2. The sign of the y - coordinate changes in the image.

Therefore, the answer is B) dilation by scale factor of two followed by reflection across the x-axis.

Thank you.