Unit 2 Transformations z z GCO 1 2

Unit 2 Transformations z

z GCO 1. 2, 1. 3, 1. 4, 1. 5 AND 2. 6 1. Translations § First definitions! § Transformation § Preimage § Image § Rigid motion § Translation

z 1. Translations cont. § A transformation is a type of mapping that results in a change in the position, shape, or size of the figure § Notice in the figure below how the points ABCD are the preimage and after the transformation is preformed, they become A’B’C’D’

z 1. Translations cont. § Two types of transformations § Rigid Motion § § Preserves the size and shape of the preimage Non-rigid Motion § Alters the size and shape of the preimage § A specific type of rigid motion is a translation § Maps all points of a figure the same distance in the same direction

z Translations Cont. §

z Translations Cont. § Ex. What is the image if a triangle has points at A(0, 0), B(2, 3), and C(4, 7) and the translation (x-2, y+5) is preformed?

z 2. Reflections, Rotations and Symmetry § More Vocab! § Reflection § Line of Reflection § Rotation § Center of Rotation § Angle of Rotation § Symmetry § Line Symmetry § Reflection Symmetry § Rotational Symmetry § Point Symmetry

z Reflections §

z Reflections Cont. §

z § Rotations

z Rotations Cont.

z Rotations Cont. §

z Symmetry § We will quickly and briefly go into symmetry § Symmetry is a rigid motion that maps the figure onto itself § There are different types of symmetry § Reflectional Symmetry § § Rotational Symmetry § § This occurs when the reflection is the exact same image This occurs when the image rotates less than 360 degrees and maps onto itself Point Symmetry § This occurs when a 180 degree rotation about a center of rotation maps the figure onto itself

z Symmetry Cont. § Rotational § § Reflectional Point

z Dilations § A dilation is a transformation that changes the size of a figure. It can become larger or smaller, but the shape of the figure does not change. Knowing the scale factor allows you to predict what the image will look like after the dilation