Rotations
Authored by Jalyn Moore
Mathematics
8th Grade
CCSS covered
Used 214+ times
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About
This quiz focuses on geometric transformations, specifically rotations in the coordinate plane, and is perfectly suited for 8th grade mathematics. The questions systematically assess students' understanding of rotating figures and points around the origin at standard angles (90°, 180°, 270°, and 360°), both clockwise and counterclockwise. Students need to master the algebraic rules for rotations, such as how a 90° clockwise rotation transforms (x, y) to (y, -x), and apply these transformation rules to find the coordinates of image points. The quiz requires students to understand that rotations preserve congruence, recognize rotations as "turns," distinguish between pre-images and images, and identify the degree of rotation by analyzing coordinate changes. Students must demonstrate both conceptual understanding of rotation as a rigid transformation and procedural fluency in applying coordinate transformation rules. Created by Jalyn Moore, a Mathematics teacher in the US who teaches grade 8. This comprehensive assessment serves multiple instructional purposes, from formative assessment during geometry units to homework practice and review before summative evaluations. Teachers can use individual questions as warm-up problems to reinforce specific rotation rules or deploy the entire quiz to gauge student mastery of coordinate transformations. The progression from basic angle identification to complex coordinate calculations makes it ideal for differentiated instruction and helps students build confidence with transformation geometry. This quiz directly aligns with CCSS.MATH.CONTENT.8.G.A.3, which requires students to describe the effects of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates, and supports the broader 8th grade geometry standards focused on understanding congruence and similarity through transformations.
Content View
Student View
21 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
How many degrees was the figure rotated?
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
3.
MULTIPLE CHOICE QUESTION
45 sec • 12 pts
What is the angle of rotation for this counterclockwise rotation about the origin?
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which rule describes rotating 180° clockwise?
( x, y ) → ( y, -x )
( x, y ) → ( -x, -y )
( x, y) → ( x, y )
( x, y ) → ( -y, x )
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which rule describes rotating 270° clockwise?
( x, y ) → ( y, -x )
( x, y ) → ( -x, -y )
( x, y) → ( x, y )
( x, y ) → ( -y, x )
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which rule describes rotating 90° clockwise?
( x, y ) → ( y, -x )
( x, y ) → ( -x, -y )
( x, y) → ( x, y )
( x, y ) → ( -y, x )
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
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