Problem 1 Drawing a Rotation Image
What is the image of
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Step 1
Draw
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Step 2
Use a compass to construct
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Step 3
Locate
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Step 4
Draw
Plan
How do you use the definition of rotation about a point to help you get started?
You know that O and
✓ Got It?
- Copy
The center of a regular polygon is the point that is equidistant from its vertices. The center and the vertices of a regular n-gon determine n congruent triangles. You can use this fact to find rotation images of regular polygons.
Problem 2 Identifying a Rotation Image
Point X is the center of regular pentagon PENTA. What is the image of the given point or segment for the given rotation?
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A
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B
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| When T rotates
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Think
Why are the five triangles congruent?
The center of a regular polygon is equidistant from the vertices, so the five segments from X are congruent. The fives sides of PENTA are congruent because PENTA is regular. So the triangles are all congruent by SSS.
✓ Got It?
- What is the image of E for a
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