10-1(B) and 10-2(D) Translations and Reflections on the Coordinate Plane

Key Terms 1. Transformation – an operation that maps an original geometric figure onto a new figure called the image.

Translation Called a slide Image is the same shape and the same size as the original figure You slide a figure from one position to another without turning it. When translating a figure, every point of the original figure is moved the same distance and in the same direction.

Triangle LMN has vertices L(-1, -2), M(6,-3) and N(2,-5). Find the vertices of Triangle L’M’Nafter a translation 6 units to the left and 4 units up.

Translate 4 units to the left and 6 units up. A(2,-1) B(4,-1) C(4,-5) D(2,-5)

Translate 5 units right and 3 units down G(-4,1) H(-4,3) I(-2,3) J(-1,1)

Relection Called a flip Figures are mirror images of eachother Image is the same shape and same size as the original figure Orientation is different from the original figure When you flip a figure over a line. This line is called the line of symmetry.

Reflection over the x = x stays the same and find the opposite of the y Reflection over the y – y stays the same and find the opposite of the x.