Defining Similarity
Practice
Similarity & transformations - Questions
1. Complete the similarity statement.
A rectangle is ________ (sometimes/always/never) similar to another rectangle, because we can ________ (sometimes/always/never) transformations.
2. Erin was able to map line segment onto line segment
using a rotation and a dilation.
Erin concluded:
"I was able to map line segment onto line segment
using a sequence of rigid transformations and dilations, so the figures are similar".
What error did Erin make in her conclusion?
(A) Erin used a dilation, so the segments aren't similar.
(B) The segments are congruent, not similar.
(C) There is no error. This is a correct conclusion.
3. Sabrina was able to map circle onto circle
(with
and
being on each circle, respectively) using a translation and a dilation.
Sabrina concluded:
"I was able to map circle onto circle
using a sequence of rigid transformations and a dilation, so the figures are similar".
What error did Sabrina make in her conclusion?
Choose 1 answer:
(A) Sabrina used a translation, so the circles aren't similar.
(B) Sabrina used a dilation, so the circles aren't similar.
(C) There is no error. This is a correct conclusion.
4. Konnor was curious if quadrilaterals and
were similar, so he considered their angles.
Konnor concluded:
"The quadrilaterals have four pairs of congruent corresponding angles, so the figures are similar".
What error did Konnor make in his conclusion?
Choose 1 answer:
(A) The quadrilaterals are congruent, not similar.
(B) It's impossible to map onto
using only rigid transformations and dilations, so the figures are not similar.
(C) There is no error. This is a correct conclusion.