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Congruent and Similar Triangles (Geometry Unit 4)

Rated 4.92 out of 5, based on 13 reviews
4.9Ā (13 ratings)
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Grade Levels
9th - 11th, Homeschool
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Standards
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70+
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What educators are saying

This resource allowed me to complete this unit, one of my least favorites, with confidence and little preparation. It helped my students to understand the concepts. The notes were easy for my students to follow along and understand. The activities were engaging.
I love the crispness of all of the diagrams. My students are those who historically struggle in math, but this was right on par for them and I had more engagement than I usually do!

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    Unit Plan & Video Lesson Links

    Description

    This is a complete congruent and similar triangles unit for Geometry. This is the 4th unit in my Geometry curriculum.

    *Note: This unit is best suited for on-level or lower-level/special education math classes. Supplements will most likely be needed for an honors or upper-level math class.

    *Update: Video links are now included for each set of notes!*

    Topics include:

    • congruent triangle shortcuts (SSS, SAS, ASA, AAS, HL)
    • congruent triangle proofs (with and without CPCTC)
    • congruent triangle measures with algebra
    • similar triangle shortcuts (SSS, SAS, AA)
    • using proportions to solve for sides
    • triangle proportionality theorem
    • triangle midsegment theorem
    • similar triangle application problems
    • similar triangle proofs

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    Terms of Use:

    This product should only be used by the teacher who purchased it. This product is not to be shared with other teachers. Please buy the correct number of licenses if this is to be used by more than one teacher.

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    Total Pages
    70+
    Answer Key
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    Teaching Duration
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    Standards

    to see state-specific standards (only available in the US).
    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.
    Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
    Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
    Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

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