Cluster - Understand congruence in terms of rigid motions.
Created on: April 29, 2015
Website Address: https://www.currikilibrary.org/oer/Cluster--Understand-congruence-in-terms-of-rigid-motions
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TABLE OF CONTENTS
Geometry Aligned to CCSS-M Standards
- Unit 1 - Congruence, Proof, and Constructions
- Unit 2 - Similarity, Proof, and Trigonometry
- Unit 3 - Extending to Three Dimensions
- Unit 4 - Connecting Algebra and Geometry through Coordinates
- Unit 5 - Circles With and Without Coordinates
- Unit 6 - Applications of Probability
Unit 1 - Congruence, Proof, and Constructions
- Cluster - Experiment with transformations in the plane.
- Cluster - Understand congruence in terms of rigid motions.
- Cluster - Prove geometric theorems.
- Cluster - Make geometric constructions.
Cluster - Understand congruence in terms of rigid motions.
- Quiz - Congruence, Proof, and Constructions Cluster: Understand congruence in terms of rigid motions: Standards: G.CO.6, G.CO.7, G.CO.8
- G.CO.6 Use geometric descriptions of rigid motions to transform figures
- G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent
- G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
IN COLLECTION
Rigid motions are at the foundation of the definition of congruence. Students reason from the basic properties of rigid motions (that they preserve distance and angle), which are assumed without proof. Rigid motions and their assumed properties can be used to establish the usual triangle congruence criteria, which can then be used to prove other theorems.
Collection Contents
Standards: G.CO.6, G.CO.7, G.CO.8
Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
G.CO.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
