 # Lesson 11.4 Translations and Reflections

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Lesson 11.4 Translations and Reflections

Translation - Each point of a figure is moved in the same distance in the same direction (sometimes called as slide). Image- the figure you get after the transformation . The translation of A to its image is A’.

Example of Translation

Example of Translation

Notation

A point and its image after a translation are given
A point and its image after a translation are given. Write a rule to describe the translation A(9,-4), A’(2,1) B(-3, 5), B’(-5,-3)

-4 Understanding Translation
The triangle below is translated 5 units right and 4 units down. Describe the translation below using a coordinate table. Coordinate Table y x D C E x y x+5 y-4 C -5 1 -3 +5 D -2 4 3 -4 E 2 5 -2

Reflection Mirror image either over the x or y axis

Rule for Line Reflection Over Y-axis

Line Reflections Coordinate Notation x y -x y -5 4 5 4 -5 1 5 1 -1 1 1
Line Reflection - Reflection occurs when points are redrawn across a line of symmetry at equal distance. y x Coordinate Notation A B C “Opposite of” x y -x y -5 4 5 4 -5 1 5 1 -1 1 1 1 Reflect over Y-AXIS (-x, y) – opposite of x Reflect over X-AXIS (x, -y) – opposite of y

Rule for Line Reflection over x-axis

Points L(-3,2), M(3,1), and N(-2,-2) are the vertices
of a triangle. If LMN is reflected over the x-axis, what are the coordinates of its image? Coordinate Notation y x L M N

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