Question

Which transformations will produce similar, but not congruent, figures?

Choose all answers that are correct.
A.Parallelogram JKLM is rotated 90° clockwise and then reflected across the y-axis to form parallelogram JꞌꞌKꞌꞌLꞌꞌMꞌꞌ.
B.Parallelogram JKLM is dilated by a scale factor of 6 and then translated 2 units down to form parallelogram JꞌꞌKꞌꞌLꞌꞌMꞌꞌ.
C.Parallelogram JKLM is translated 6 units up and then dilated by a scale factor of 10 to form parallelogram JꞌꞌKꞌꞌLꞌꞌMꞌꞌ.
D.Parallelogram JKLM is translated 8 units left and then reflected across the x-axis to form parallelogram JꞌꞌKꞌꞌLꞌꞌMꞌꞌ

Answer 1

B.Parallelogram JKLM is dilated by a scale factor of 6 and then translated 2 units down to form parallelogram JꞌꞌKꞌꞌLꞌꞌMꞌꞌ; and C.Parallelogram JKLM is translated 6 units up and then dilated by a scale factor of 10 to form parallelogram JꞌꞌKꞌꞌLꞌꞌMꞌꞌ.

Explanation:

Some transformations are called rigid transformations. This is because they preserve congruence. These are translations, rotations and reflections. Any combination of these three transformations will result in congruent figures.

This means if we want similar and not congruent figures, the figure must be dilated. The only two choices that mention dilations are B and C.

Answer 2

so if similar means that the points are in the same orientation reletive to each other (exg point 1 is to the right of point 2 and both are above points 3 and 4)


so rotations and reflections change the orientation reletive to each other so choices A and D are out

Dialations and translations just move the whole thing, yet it stays the same points reletive to each other so the answers are B and C

Sorry if it is wrong, don't know this the best
I think the answer is B and C