Reflections Chapter 3 Section 7. Reflections A reflection – is a transformation that flips an image over a line. o This line is called the line of reflection.

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Presentation transcript:

Reflections Chapter 3 Section 7

Reflections A reflection – is a transformation that flips an image over a line. o This line is called the line of reflection. o Written R line (P) = P R y-axis (C) = C’

Example P(-1, 2) 1. R x-axis (P) =? 2. R y-axis (P)= ? 3. R y=1 (P)=?

Example A(3, -2) 1. R x-axis (A) =? 2. R y-axis (A)= ? 3. R y=1 (A)=?

Example  ABC has vertices A(1, 1), B(1, 6) and C(4, 1). R y-axis (  ABC)

Example  LMN has vertices L(0, 0), M(3, -5) and N(-2, -2). R x-axis (  LMN)

Example  ABC has vertices A(0, 2), B(3, 0) and C(6, 3). 1. R x-axis (  ABC) 2. R y-axis (  ABC)

Find the coordinates of the image for each reflection: 1.R x-axis (A) 2.R y-axis (B) 3.R y-axis (F) 4.R x-axis (E)

Draw the Image for Each Reflection  ABC has vertices A(2, 0), B(2, 5) and C(6, 5). 1. R x-axis (  ABC) 2. R y-axis (  ABC)

Reflectional Symmetry A figure has reflectional symmetry if it can be reflected over a line so that the image and pre- image match up o The line that divides a figure up into mirror images is called the line of reflection. Example:

How many lines of symmetry does each letter have? 1. E 2. B 3. X 4. P

Do the flags have reflectional symmetry?