1 / 5

Copy LOB , and draw its image under a 60° rotation about C .

Step 1: Use a protractor to draw a 60° angle at vertex C with one side CO. Rotations. LESSON 9-3. Additional Examples. Copy LOB , and draw its image under a 60° rotation about C. Step 2: Use a compass to construct CO CO.

dasha
Download Presentation

Copy LOB , and draw its image under a 60° rotation about C .

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Step 1: Use a protractor to draw a 60° angle at vertex C with one side CO. Rotations LESSON 9-3 Additional Examples Copy LOB, and draw its image under a 60° rotation about C.

  2. Step 2: Use a compass to construct COCO. Step 3: Locate L and B in a similar manner. Then draw L O B . Rotations LESSON 9-3 Additional Examples (continued) Quick Check

  3. a. Because 360° ÷ 6 = 60°, each central angle of ABCDEF measures 60. A 240° counterclockwise rotation about center M moves point B across four triangles. The image of point B is point D. b.AMF is equilateral, so AFM has measure 180 ÷ 3 = 60. A 60° rotation of AMF about point F would superimpose FM on FA, so the image of M under a 60° rotation about point F is point A. Rotations LESSON 9-3 Additional Examples Regular hexagon ABCDEF is divided into six equilateral triangles. a. Name the image of B for a 240° rotation about M. b. Name the image of M for a 60° rotation about F. Quick Check

  4. Rotations LESSON 9-3 Additional Examples A regular 12-sided polygon can be formed by stacking congruent square sheets of paper rotated about the same center on top of each other. Find the angle of rotation about M that maps W to B. Consecutive vertices of the three squares form the outline of a regular 12-sided polygon. 360 ÷ 12 = 30, so each vertex of the polygon is a 30° rotation about point M. You must rotate counterclockwise through 7 vertices to map point W to point B, so the angle of rotation is 7 • 30°, or 210°. Quick Check

  5. Rotations LESSON 9-3 Additional Examples Describe the image of quadrilateral XYZW for a composition of a 145° rotation and then a 215° rotation, both about point X. The two rotations of 145° and 215° about the same point is a total rotation of 145° + 215°, or 360°. Because this forms a complete rotation about point X, the image is the preimage XYZW. Quick Check

More Related