Presentation is loading. Please wait.

Presentation is loading. Please wait.

Composition of Rigid Motions A sequence of basic rigid motions (translation, rotation, and reflection) “Teaching Geometry According to the Common Core.

Similar presentations


Presentation on theme: "Composition of Rigid Motions A sequence of basic rigid motions (translation, rotation, and reflection) “Teaching Geometry According to the Common Core."— Presentation transcript:

1 Composition of Rigid Motions A sequence of basic rigid motions (translation, rotation, and reflection) “Teaching Geometry According to the Common Core Standards”, H. Wu, 2012

2 We start with two identical figures. What sequence of basic rigid motions maps the left H exactly onto the right H so that all corresponding angles and segments coincide?

3 For clarity, we’ll dash the lines of the original H’s and show in red the image of the left H that will be the subject of our rigid motions.

4 We draw a straight line segment (a vector) from the lower right corner of the left H to the upper left corner of the right H.

5 A translation along this vector maps the lower right corner of the red H onto the upper left corner of the right H.

6 A clockwise rotation of 90 degrees around the red dot maps the right side of the red H to the top side of the right H.

7 Then a reflection across the top of the right H maps the red H exactly onto the right H.

8 the composition of a translation a rotation around a point, To recap: along a vector,

9 and a reflection across a line is a sequence of basic rigid motions that maps the left H exactly onto the right. the composition of a translationTo recap: along a vector,a rotation around a point,


Download ppt "Composition of Rigid Motions A sequence of basic rigid motions (translation, rotation, and reflection) “Teaching Geometry According to the Common Core."

Similar presentations


Ads by Google