Lesson 2
Naming the Moves
Let’s be more precise about describing moves of figures in the plane.
Problem 1
Each of the six cards shows a shape.
![6 panels each showing the one of three different figures in different positions and orientations.](https://cms-im.s3.amazonaws.com/FgwTRVKgxqEpiyEPbW1sULLt?response-content-disposition=inline%3B%20filename%3D%228-8.1.A.PP.Image.0005.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A.PP.Image.0005.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T004005Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=46e6761a61d55c589e5db1e842f9e9a87f44c297e986e142d5e7103d7495df0a)
- Which pair of cards shows a shape and its image after a rotation?
- Which pair of cards shows a shape and its image after a reflection?
Problem 2
The five frames show a shape's different positions.
![5 panels showing the same figure in different positions and orientations.](https://cms-im.s3.amazonaws.com/xHJ88MokH9cUEYscp4QtjQui?response-content-disposition=inline%3B%20filename%3D%228-8.1.A.PP.Image.0004.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A.PP.Image.0004.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T004005Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=615e4d94a5f3ad651452c3b7e570797a757e7b9a315617c20dc9c2c263ec281a)
Describe how the shape moves to get from its position in each frame to the next.
Problem 3
The rectangle seen in Frame 1 is rotated to a new position, seen in Frame 2.
![A figure of rectangular Frame 1 and Frame 2, each with a rectangle.](https://cms-im.s3.amazonaws.com/PEKMuaBbfRHBnaaF1Q44gVUo?response-content-disposition=inline%3B%20filename%3D%228-8.1.A1.newPP.03.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A1.newPP.03.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T004005Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=93da0d3e3a08a70eea8a90ff1aab5a40aa715d0b76e1a09eef4967e6761fea35)
Select all the ways the rectangle could have been rotated to get from Frame 1 to Frame 2.
A:
40 degrees clockwise
B:
40 degrees counterclockwise
C:
90 degrees clockwise
D:
90 degrees counterclockwise
E:
140 degrees clockwise
F:
(From Unit 1, Lesson 1.)
140 degrees counterclockwise