PERFORMANCE TASK
This task builds on important concepts you've learned in this unit and allows you to apply those concepts to a variety of situations. The task has several parts, each in its own section.
Before you begin, it's a good idea to look over each part to get oriented to the whole task. Additionally, it's best to complete the sections in order, since they build on each other. Finally, the work you complete will be a combination of computer-graded problems and written work that your teacher will grade. In some cases, you will need to complete work outside of the problem (in a word processing document or on paper, for example) and upload it for grading.
Part A
Question #1
PKRQ is a reflection of ABCD. Find the values of x and y.
x =
y =
Question #2
KRP is a dilation of ABC. Find the values of x and y.
x =
y =
Part B
Question #3
Nora says that the shapes shown below are translations of each other. Judy says that the transformation is a glide-reflection. In two or more complete sentences, explain who is correct.
Part C
Question #4
Given each transformation, choose the correct image for the point (a, b).
1. after 180° counterclockwise rotation around the origin:
2. after reflection across the line y = -x:
3. after 90° counterclockwise rotation around the origin:
4. after reflection across the y-axis:
Part D
The red square is the image of the blue square after a single transformation. Use two or more complete sentences to describe each of the four different transformations that could produce the image.
