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Geometry Chapter 4 Review: Transformations and Reflections

This handout is designed to help students review key concepts from Chapter Four of Geometry, focusing specifically on transformations and reflections. It includes questions that address the notation for reflections, composite reflections over parallel and intersecting lines, and how to identify and describe types of transformations. Students will also explore vector translations and complete exercises involving composite reflections and their magnitudes. This comprehensive review reinforces understanding of geometric transformations.

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Geometry Chapter 4 Review: Transformations and Reflections

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  1. Geometry: Chapter Four Name: Handout: Lesson 4-7 Date: Group: 1. Review: Answer these review questions from chapter four. A. What is the notation of the reflection of triangle ABC over line n? _____________ B. What is the notation of the composite reflection of triangle ABC over line n and then line m? _____________ C. What type of transformation is determined by a composite reflection over two parallel lines? ____________ D. What type of transformation is determined by a composite reflection over two intersecting lines? ____________ E. What type of transformation is determined by a vector? ____________ F. Complete each composite reflection. Identify as a rotation or a translation. Find the magnitude for each composite reflection. rl(rk(TRAP)) rlork(RHOM) Type of transformation ___________ Type of transformation ___________ Magnitude of the transformation ______ Magnitude of the transformation ______ 2. Use lesson 4-7 to answer these questions about new material. A. What is the new notation used for a translation by a vector in section 4-7? _________ B. Use TEACHING AID 55 on the following page to complete rno rmo rl (ABCD). C. Use TEACHING AID 55 on the following page to complete T o rl (WXYZ).

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