Question

3С21In the similaritytransformation of ABCto ADEF, AABC was dilated bya scale factor of [?], reflectedacross the [ ], and movedthrough the translation [ ].BA-7-6-5-4-3-22-1 0123+m,D2-3FA. 2B. 1/2C. 3D. 1/3

Answer 1

Hello!

First, let's analyze the images:

Note that in the triangle ABC, the side AC measures 1 unit. If we compare it to the correspondent side of triangle DEF, the side DF measures 2 units.

So, we can say that ABC was dilated by a scale factor of 2.

Now, notice that the first triangle is all above the x-axis, while triangle DEF is all below the x-axis. So, we can say that it was reflected across the x-axis.

Note: as it was dilated by a scale factor of 2, the new triangle ABC will be at the points:

A (1, 1)

B (-3, 1)

C (1, 3)

So, to obtain triangle DEF, we just need to reflect it through the x-axis (don't need to move to left or right).

Answer:

• ABC was dilated by a scale factor of 2;

,

• it was reflected across the x-axis;

,

• it was moved 0 units.