Problem 3 Finding an Angle of Rotation
GRIDDED RESPONSE
Design Hubcaps of car wheels often have interesting designs that involve rotation. What is the angle of rotation, in degrees, about C that maps Q to X?
Think
Can you visualize the nine
Each angle would be formed by joining the tips of two consecutive spokes to C.
The design consists of 9 spokes, so it divides the circle into 9 congruent parts. Since
✓ Got It?
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- In Problem 3, what is the angle of rotation about C that maps M to Q?
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Reasoning If a
A composition of rotations about the same point is itself a rotation about that point. To sketch the image, add the angles of rotation to find the total rotation.
Problem 4 Finding a Composition of Rotations
What is the image of KITE for a composition of a
Plan
Do you need to do two rotations?
No. Both rotations are about the same point, so the angle of rotation of the composition is equal to the sum of the two angles of rotation.
The angle of rotation for the composition is
✓ Got It?
- What are the coordinates of the image of point
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs