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Common Core Geometry. Chapter 3. Congruence

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So, this is the year when you have to switch over to the new Common Core Standards for high school geometry, but you don't quite know what that means. Or perhaps you know the new standards but haven't had time to re-align your course. I have your answer. I've created a set of PowerPoints and Word worksheets, aligned to the Common Core, that will take you from the first day of the course to the last.

This is Chapter 3 of my Common Core-aligned course in geometry. The topic is congruence. Below is a description of the chapter's seven sections.

3.1 Flips, Turns and Slides. The Common Core State Standards characterize congruence in terms of the rigid motions. Thus a study of congruence must begin with a study of the rigid motions - flips, turns and slides.

3.2 Congruence. Congruence is defined as the possibility of coincidence after a sequence of rigid motions. Figures are proven congruent by means of the Rigid Motion and Coincidence Postulates.

3.3 The Isosceles Triangle Theorem. Among the most important consequences of the Rigid Motion and Coincidence Postulates is Isosceles Triangle Theorem. Emphasis is placed upon the symmetry of an isosceles triangle and how construction of the bisector of the vertex angle brings out that symmetry.

3.4 SAS Congruence.Students are led through a proof of the primary triangle congruence principle - SAS. Included on the WS are simple application proofs.

3.5 SSS Congruence. A proof of the SSS triangle congruence principle. Three cases must be distinguished.

3.6 ASA Congruence. ASA is given a rigid motion proof 0n the PowerPoint. On the worksheet students are led through an indirect proof based on SAS.

3.7 Application Proofs and Problems. Application proofs and application problems of the three congruence principles SAS, SSS and ASA.

For each section there is both a PowerPoint and a Word worksheet. The worksheets give ample practice in the day's topic.

The worksheets are appropriate for both Honors and non-Honors classes. Questions marked H are intended for Honors only. The chapter includes a Challenge problem set. It is intended for Honors students. Worksheets include answers to selected questions.

The Preview is a selection of PowerPoints and Word worksheets.

A description of the course can be found among my downloads. The title is "Course Contents with Commentary".
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Common Core Geometry. Chapter 3. Congruence
Common Core Geometry. Chapter 3. Congruence
Common Core Geometry. Chapter 3. Congruence
Common Core Geometry. Chapter 3. Congruence
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