Question

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

Choose all answers that are correct.

Answer 1

A.
Square ABCD is rotated 270° clockwise and then dilated by a scale factor of to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.

B.
Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.

C.
Square ABCD is dilated by a scale factor of and then translated 1 unit right to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.

D.
Square ABCD is translated 8 unit right and 8 units up and then reflected across the y-axis to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.

Answer 2

@k_lynn

Answer 3

um a and idk

Answer 4

The dilation factors in a and c are not legible.
These factors are critical for this question.

Answer 5

the one in c is \[\frac{ 1 }{ 3}\]

Answer 6

When the dilation factor for a square is one, it will be both similar and congruent.

Answer 7

when the dilation factor is different from one, transformed figure will be similar but not congruent.

Answer 8

no the one in a is \[\frac{ 1 }{ 3}\] the one in c is \[\frac{ 4 }{ 5 }\]

Answer 9

so then b and d you cant use fractions right?

Answer 10

Rotations and translations preserve congruence unless there are other non-congruent transformations.

Answer 11

Reflections also preserve congruence unless there are other non-congruent transformations.

Answer 12

you lost me..

Answer 13

so which ones could it be?

Answer 14

Fractions are ok, as long as you can evaluate them.
What's important for this question is whether the dilation factor equals one or different from one.

Answer 15

Take the time to reread the question, and read my statements, and decide on which one(s) remain congruent, and which one(s) are similar but NOT congruent.
There is more than one of the latter.

Answer 16

whaaaa?

Answer 17

mathmate was pretty confusing...

Answer 18

...unless you read everything:
"when the dilation factor is different from one, transformed figure will be similar but not congruent."