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

Coordinate Plane

Key Terms1. 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 downG(-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.