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Module 2: The concept of congruence

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Introduction to geometric transformationsIdentifying transformationsTranslations introTranslating pointsTranslating shapesTranslating shapesDetermining translationsRotations introRotating pointsDetermining rotationsReflecting pointsReflecting shapesReflecting shapesDetermining reflectionsTranslations reviewRotations reviewReflections review
Practice
Identify transformations Get 3 of 4 questions to level up!
Translate pointsGet 3 of 4 questions to level up!
Translate shapesGet 3 of 4 questions to level up!
Determine translationsGet 3 of 4 questions to level up!
Rotate points (basic)Get 3 of 4 questions to level up!
Determine rotations (basic)Get 3 of 4 questions to level up!
Reflect pointsGet 3 of 4 questions to level up!
Reflect shapesGet 3 of 4 questions to level up!
Determine reflectionsGet 3 of 4 questions to level up!
Learn
Finding measures using rigid transformationsRigid transformations: preserved propertiesMapping shapesCongruent shapes & transformationsNon-congruent shapes & transformations
Practice
Find measures using rigid transformationsGet 3 of 4 questions to level up!
Mapping shapesGet 3 of 4 questions to level up!
Congruence & transformationsGet 3 of 4 questions to level up!
Learn
Congruence and similarity — Basic exampleCongruence and similarity — Harder exampleAngles, parallel lines, & transversalsParallel & perpendicular linesMissing angles with a transversalMeasures of angles formed by a transversalAngles in a triangle sum to 180° proofTriangle exterior angle exampleWorked example: Triangle angles (intersecting lines)Worked example: Triangle angles (diagram) Triangle angle challenge problemTriangle angle challenge problem 2
Practice
Angle relationships with parallel linesGet 5 of 7 questions to level up!
Equation practice with anglesGet 3 of 4 questions to level up!
Find angles in trianglesGet 5 of 7 questions to level up!
Find angles in isosceles trianglesGet 3 of 4 questions to level up!
Finding angle measures using trianglesGet 5 of 7 questions to level up!
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Module 2, Topic D: No content yet

About this unit

"In Module 2, students study congruence by experimenting with rotations, reflections, and translations of geometrical figures. Their study of congruence culminates with an introduction to the Pythagorean Theorem in which the teacher guides students through the “square-within-a-square” proof of the theorem. Students practice the theorem in real-world applications and mathematical problems throughout the year." Eureka Math/EngageNY (c) 2015 GreatMinds.org