Geometry 9-3 Rotations
starstarstarstarstarstarstarstarstarstar
by Matthew Richardson
| 28 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
The outlined content above was added from outside of Formative.
The outlined content above was added from outside of Formative.
Functionalized Placeholder
1
2
3
4
1
5
Solve It! In the diagram, the point (3, 2) is rotated counterclockwise about the origin. The point (x₁, y₁) is the result of a 90° rotation. What are the coordinates of (x₁, y₁)?
(-3, -2)
(3, -2)
(2, -3)
(-2, 3)
2
5
Solve It! The point (x₂, y₂) is the result of a 180° rotation. What are the coordinates of (x₂, y₂)? Enter only the coordinates in your response. Include a space after the comma.
3
5
Solve It! The point (x₃, y₃) is the result of a 270° rotation. What are the coordinates of (x₃, y₃)? Enter only the coordinates in your response. Include a space after the comma.
The outlined content above was added from outside of Formative.
5
10
Problem 1 Got It? Draw the image of △LOB for a 50° rotation about B. Use blue or green for the image and label L', O', and B'.
The outlined content above was added from outside of Formative.
6
10
Problem 2 Got It? Graph the rotation on the canvas.
The outlined content above was added from outside of Formative.
Functionalized Placeholder
7
7
20
Problem 3 Got It? Can you use the properties of rotations to prove that WXYZ is a rhombus? Explain.
8
10
Graphing: Draw the indicated rotation of △ABC on the canvas. Use blue or green for the image and label A', B', and C'.

Functionalized Placeholder
9
9
10
A
B
C
D
Functionalized Placeholder
10
10
10
A
B
C
D
11
10
Vocabulary:A'B'C' is a rotation of △ABC about point O. Describe how to find the angle of rotation.
Functionalized Placeholder
12
12
10
Error Analysis: A classmate drew a 115° rotation of △PQR about point P, as shown. Explain your classmate's error.
13
10
Compare and Contrast: Compare rotating a figure about a point to reflecting the figure across a line. How are the transformations alike? How are they different?
14
10
Reasoning: Point P(x, y) is rotated about the origin by 135° and then by 45°. What are the coordinates of the image of point P? Explain.
15
10
Review Lesson 9-2:BIG has vertices B(-4, 2), I(0, -3), and G(1, 0). Graph △BIG in black and its reflection across the y-axis in green or blue. Label all vertices.
16
10
Review Lesson 9-2:BIG has vertices B(-4, 2), I(0, -3), and G(1, 0). Graph △BIG in black and its reflection across the x-axis in green or blue. Label all vertices.
17
10
Review Lesson 9-2:BIG has vertices B(-4, 2), I(0, -3), and G(1, 0). Graph △BIG in black and its reflection across the line x = 2 in green or blue. Label all vertices.
Functionalized Placeholder
18
19
18
10
Review Lessons 8-2 & 8-3: Find the value of x. Round your answer to the nearest tenth and include units in the same format shown in the diagram.
19
10
Review Lessons 8-2 & 8-3: Find the value of x. Round your answer to the nearest tenth and include units in the same format shown in the diagram.
20
10
Review Lessons 9-2 & 9-3: What are the coordinates of the image of point A(-2, 3) after two 90° rotations about the origin? Enter only the coordinates and include a space after the comma.
21
10
Review Lessons 9-2 & 9-3: What are the coordinates of the image of point T(3, 0) after a reflection across the y-axis followed by a 180° rotation about the origin? Enter only the coordinates and include a space after the comma.
22
10
Review Lessons 9-2 & 9-3: The image of point H after a 90° rotation about the origin followed by a reflection across the x-axis is K(3, 2). What are the coordinates of H? Enter only the coordinates and include a space after the comma.
Functionalized Placeholder
23
23
10
Vocabulary Review: What is the name of the tool shown here? Enter a one-word response.
24
10
Vocabulary Review: Draw a line segment on the protractor to represent each angle measure. Then label the angle measures and classify each as acute, right, or obtuse.
Functionalized Placeholder
25
26
27
25
5
Use Your Vocabulary: Does the pair of figures show a rotation? Hint: this refers to the entire figure.
Yes
No
26
5
Use Your Vocabulary: Does the pair of figures show a rotation?
Yes
No
27
5
Use Your Vocabulary: Does the pair of figures show a rotation?
Yes
No
28
10
Reflection: Math Success
Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.