Question

a teacher draws triangle mnp on a coordinate plane. the teacher asks four students to create a set of transformations that maps triangle mnp onto triangle qrs so that triangle mnp is similar to, but not congruent to, triangle qrs. the table shows the students responses.

student	response
damien	rotation of 90° clockwise, translation 5 units down
evelyn	translation 2 units left, dilation by a factor of 1/2
felisha	translation 4 units right, translation 1 unit up

which student is correct?
damien
felisha
evelyn
colby

Explanation:

Step1: Recall transformation properties

Reflections, rotations and translations are rigid - motions that produce congruent figures. Dilations change the size of a figure and produce similar but not congruent figures.

Step2: Analyze each student's response

Colby's reflection, Damien's rotation and reflection, and Evelyn's rotation and translation are all rigid - motions which result in congruent figures.

Step3: Identify the correct response

Falisha's sequence includes a dilation by a factor of $\frac{1}{2}$. Dilations create similar but non - congruent figures.

Answer:

Falisha