Quick Start Expectations 1.Fill in planner and HWRS HW: BPW p. 23 #19-24, #39 (ACE ws) Polyptych - due by Wednesday 2.Get a signature on HWRS – Packet #4 3.On desk: journal, HWRS, pencil, pen 4.Warm Up: next slide… back of HWRS 5.Remember – 1.No School Tomorrow 2.7 th Grade Field Trip Friday
Warm Up & Notes When making transformations of figures, you need to pay attention to two important things: _______________ and _______________. DistanceAngle Reflection: Maintain a 90 degree angle with perpendicular bisector Original point and image must be SAME distance from line of reflection Rotation: Mark CENTER of rotation Measure distance of each point from center of rotation Rotate each point the same angle Translation: Measure distance of slide Keep parallel lines of slide
Center of Rotation = O
The distances between the vertices in the original figure are equal to the distances between the corresponding vertices in the image. The angle measures of the original are equal to the corresponding angles measures on the image. And XOX’ and YOY’ are the same under the rotation about the center O. Center of Rotation = O
Any line segment that is parallel in the original figure is also parallel in the image figure. Segments that join an original point to the corresponding image point are parallel to each other under translation
Center of Rotation = O It seems as though all points/or lines are “unmoved”… But if you think about the whole plane being moved– the points on the line of reflection are unmoved the center of rotation stays unmoved But in a translation – all points, segments and lines are moved
Center of Rotation = O Properties that are preserved – or stay the same: Length of segments Measures of angles Any parallel relationships Area and perimeter of each figure Translation retains orientation of the figure