Lesson 9.1 – Symmetry and Reflections

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Presentation transcript:

Lesson 9.1 – Symmetry and Reflections Standard G.2.4

A Stroll Down Memory Lane… What kind of shape is this? A shape is symmetric if it has a line or lines which cuts the shape into two congruent halves

Why does symmetry matter? Balance of shape Natural Beauty Real life uses in games such as Billiards Ping-Pong Putt-Putt

Examples to Try How many lines of symmetry do the following shapes have?

Lines of Reflection FB <A DC ΔDCF D Name the image of each figure under reflection in line m. AF <B ED ΔDEF Point D D FB <A E C DC ΔDCF D A F B m

Coordinate Geometry Write This Slide Down! We can reflect points in four different ways Across the x-axis All y-values switch signs Across the y-axis All x-values switch signs Across the line y = x x-values and y-values trade spots Around the origin All x-values and y-values switch signs Write This Slide Down!

Examples Reflect the line AB in the following ways: Across the x-axis Across the y-axis Across the line y = x Around the origin A (-3, -2) B (1, 4) A (3, 2) B (-1, -4) y B (-4, 1) y = x A (2, -3) A (2, -3) B (-1, 4) A (3, -2) B (-4, 1) A (-3, -2) B (1, 4) A (-3, 2) A (3, -2) B (-1, 4) B (-1, -4) A (3, 2) x B (1, -4)

Homework Workbook pp. 111-112