What Rigid Transformation will take Pentagon PTSRQ to Pentagon VZYXW?

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Presentation transcript:

What Rigid Transformation will take Pentagon PTSRQ to Pentagon VZYXW? Warm-up 8.28.19 What Rigid Transformation will take Pentagon PTSRQ to Pentagon VZYXW? Angle P corresponds to Angle ____ Angle Q corresponds to Angle ____ Angle R corresponds to Angle ____ Angle S corresponds to Angle ____ Angle T corresponds to Angle ____ Line Segment PQ corresponds to Line Segment _____ Line Segment PT corresponds to Line Segment _____ Line Segment RS corresponds to Line Segment _____ Line Segment ST corresponds to Line Segment _____ Line Segment QR corresponds to Line Segment _____

Introduction What about a change or orientation of the line of reflection? How does this change your thinking?

Page 63 Remember: 90 degrees = 1/4 turn of your tracing paper 180 degrees = 2/4 turns of your tracing paper 270 degrees = 3/4 turns of your tracing paper

Pages 64-65 Trace Line Segment CD on your copy paper. On this question, you will be creating three new line segments. Each new line segment will be a 180 degree rotation of the original line segment CD, but will use a different point as the center of rotation.

Page 64 Focus on Question 1 Trace Line Segment CD with labels and also Point E. Perform the rotation and label the image of C as A When rotating the figure, which points remain unchanged (do not move)? Which points change locations? A

Page 64 Focus on Question 2 Use the original Line Segment CD. B Perform the rotation and label the image of C as B and D as F. When rotating the figure, which points remain unchanged (do not move)? Which points change locations? B F A

Pages 64-65 Focus on Question 3 Perform the rotation using Point G as the center of rotation, then locate the image of C When rotating the figure, which points remain unchanged (do not move)? Which points change locations?

Page 65 Choose one line to be the pre-image. Trace that line. Experiment with various points as your center of rotation. It may take several attempts before you find it. If it doesn’t work, try again. Try to find a center that will bring you to the image after a rotation.

Page 66 Trace Triangle ABC We will use ROTATION with the center of rotation shown (Star)

Page 68

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Page 69 Write a description of the transformation used to Map ABCD to A’B’C’D’.

Page 70 Write a description of the transformation used to Map ABCD to A’B’C’D’.

y Page 70 x