Warm Up 01.05.12 Week 1. Section 7.3 Day 1 I will identify rotations in a plane. Ex 1 RotationA transformation in which a figure is turned about a fixed.

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Presentation transcript:

Warm Up Week 1

Section 7.3 Day 1 I will identify rotations in a plane. Ex 1 RotationA transformation in which a figure is turned about a fixed point. P 60º

Section 7.3 Day 1 I will identify rotations in a plane. Ex 1 RotationA transformation in which a figure is turned about a fixed point. P 60º

Section 7.3 Day 1 I will identify rotations in a plane. Ex 1 RotationA transformation in which a figure is turned about a fixed point. P m ∠ PQR ≅ m ∠ PQ’R’

Rotation Theorem A rotation is an isometry. Theorem 7.2 QR ≅ Q’R’

Rotation Theorem If lines k and m intersect at point P, then a reflection in k followed by a reflection in m is a rotation about point P. It is twice the angle made by km. Theorem 7.3 xº A B C A’ B’ C’ A’’ B’’ C’’ k m

Rotation Theorem If lines k and m intersect at point P, then a reflection in k followed by a reflection in m is a rotation about point P. It is twice the angle made by km. Theorem 7.3 2xº A B C A’ B’ C’ k m A’’ B’’ C’’

A B C A’ B’ C’ A’’ B’’ C’’ k m Ex 2 60º What is the rotation from ∆ABC to ∆A’’B’’C’’? 120º

Rotational Symmetry A figure that can be mapped onto itself by a rotation of 180º or less. Ex 3 180º

Textbook page 407, All.Assignment: Textbook page 407, All.

Assignment:

Section 7.1 Day 1 I will identify and use reflections in a plane. Ex 1 Line of Reflection The mirror in the transformation.