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- HSG-SRT.B.4Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
- HSG-SRT.B.5Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Re-Calling Pythagoras' Theorem

Geometry

» Unit:

Three Triangle Topics

Big Idea:Students will persevere in challenging questions that require use of the Pythagorean Theorem.

Prove It (Part 2)

Geometry

» Unit:

Similar and Right Triangles

Big Idea:Students work on proving hypotheses – and end up proving the Pythagorean Theorem.

Similar Triangles using Geometer's Sketchpad

Geometry

» Unit:

Similarity in Triangles

Big Idea:Students use Geometer's Sketchpad to investigate properties of similar triangles, which share a vertex and have parallel bases.

Proving Pythagorean Theorem Using Similar Triangles

Geometry

» Unit:

Similarity

Big Idea:Altitude Adjustment? By strategically introducing the altitude to the hypotenuse of a right triangle, students will be able to prove the Pythagorean Theorem.

Proving Pythagoras' Theorem

Geometry

» Unit:

Sweet Similar Shapes

Big Idea:Students will first explore similarity relationships between triangles and then will in a step by step checklist, prove the Pythagorean Theorem using similar triangles.

Review Day for Sweet Similar Shapes

Geometry

» Unit:

Sweet Similar Shapes

Big Idea:Students will use the SMART Clickers to review key topics for this unit like, identifying similar shapes, and then complete a practice test.

Special Right Triangles

Geometry

» Unit:

Right Triangles and Trigonometry

Big Idea:Word on the streets is there's a cat giving kids the long and short of special right triangles...tune in to find out what the fuss is all about.

Prove Triangle Midsegment Theorem using Analytic Geometry

Geometry

» Unit:

Analytic Geometry

Big Idea:As they say in real estate..."Location, Location, Location." In this lesson, students experience the impact of positioning when writing coordinate proofs.

Proving Theorems involving Similar Triangles

Geometry

» Unit:

Similarity

Big Idea:9 steps for one and 3/4 of a dozen for the other. In this lesson students will learn to write two 9-step proofs that involve similar triangles.

Proving Theorems About Triangles

Geometry

» Unit:

Developing Logic and Proof

Big Idea:Proof Power! In this lesson, students the theorems we've proven make it possible to prove a host of other theorems.

Making Conjectures about the Midsegments of a Triangle

Geometry

» Unit:

Developing Logic and Proof

Big Idea:

Review for Trigonometry Unit Assessment

Geometry

» Unit:

Triangle Similarity and Trigonometric Ratios

Big Idea:In this review lesson, students will apply their understanding of triangle similarity and trigonometry to write proofs.

HSG-SRT.B.4

Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

HSG-SRT.B.5

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.