New section For Notes… Reflections

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Presentation transcript:

New section For Notes…...9.3 Reflections Opener New section For Notes…...9.3 Reflections

Essential Question Learning Objective How can shapes be moved on a plane? Given a figure, I will perform a reflection transformation.

Transformations

9.3 Transformations: Reflections reflections what you've learned: What is perimeter and area how to calculate perimeter and area of rectangles, squares, and triangles undefined terms: point, line, plane defined terms: segment, ray, angle, parallel, perpendicular angle pair relationships: complementary, supplementary, linear pair, vertical angles you should know: reflections

Lines of Symmetry…..What are they? Explain.. infinite Lines of Symmetry…..What are they? Explain..

A line that allows a figure to be mapped onto itself.

Y' X' Z' Flipped? Backwards? Reversed? Mirrored? Reflected?

D' A' B' C'

D' A' B' C' They are parallel to each other. They all seem perpendicular to  line m. Also, line m seems to cut each segment in half.

Reflect Across the Y-Axis. B' Reflect Across the X-Axis B A' A A’ What do you notice about the X, Y coordinates in each scenario? Any Patterns B’ C’

Do the patterns you discovered still hold true?

Quick Check Find the coordinates for the following: A = 5,4 reflect it over Y-axis A’= -5,4 B= 4,3 Reflect it over Y=2 B’ = 4,1 C= -3,-5 Reflect it over the X-Axis C’= -3,5 Bonus: Find The Pre-Image given an Image A’=(4,4) that was reflected Across the Y-Axis. A=-4,4

Essential Question Learning Objective How can shapes be moved on a plane? Given a figure, I will perform a reflection transformation.

Closure Quick Write In your own words….How can rigid shapes be moved on a coordinate plane? What would be a reason why we would want to transform a shape on a plane?

HW PDF

A B C