# Congruent and Similar Triangles (Geometry Unit 4)

9th - 11th, Homeschool
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Pages
70+
\$34.00
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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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Total Pages
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### Standards

to see state-specific standards (only available in the US).
Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
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.
Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
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.