Congruency and Similarity

If figure G is rotated 90^o CCW and dilated by a sale factor of .5, it is SIMILAR OR CONGRUENT to figure G''?

• Congruent

• Similar

If A'B'=20 and AB=100 then what is the scale factor to map ABC onto A'B'C'? Answer either as a fraction in reduced form or as an integer.

Select the transformations that will create an image that is similar to the preimage.

Circle M is dilated by a scale factor of 3/2 and then translated along the vector <-1,3> to form circle M'. Which of the following is true?

• Circle M and circle M' are similar.

• Circle M and circle M' are congruent.

• Circle M and circle M' are concurrent.

• None of the above

Does the rule (x, y) --> (5x, 5y) produce a similar, congruent, or neither image

• Similar with a SF of 5

• Congruent

• Neither

Which of the following is one possible sequence of transformations?

• Dilation with scale factor 2, then Reflection over the y-axis

• Dilation with scale factor 2, then Reflection over the x-axis

• Dilation with scale factor 1/2, then Reflection over the y-axis

• Dilation with scale factor 1/2, then Reflection over the x-axis

Which is a not a true statement about the figures shown below?

• The image is smaller than the pre-image.

• Triangle GHI is similar to Triangle G’H’I’.

• The transformation shown is a dilation.

• Segment GH is congruent to segment G’H’.

If figure A is reflected over the x-axis and translated 2 units down and 4 units right, it is SIMILAR OR CONGRUENT to figure A''?

• Congruent

• Similar

Mrs. Johns was able to map circle P onto circle R (with Q and s being on each circle, respectively) using a translation and a dilation. Mrs. Johns concluded: "I was able to map circle P onto circle R using a sequence of transformations and a dilation, so the figures are similar." What error did Mrs. Johns make in her conclusion?

• Mrs. Johns used translations so the circles aren't similar.

• Mrs. Johns used dilations so the circles aren't similar.

• There is no error. This is a correct conclusion.

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle to maintain congruence with rectangle ABCD?

• Translation 3 units left, then translation 7 units down.
  

• Dilation by a scale factor of 3, then dilation by a scale factor of 3.

• Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.

• Translation 4 units right, then translation 6 units up.