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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.

Special Right Triangles Puzzle Activity

Geometry

Â» Unit:

Similar and Right Triangles

Big Idea:Putting together puzzles is an engaging way for students to review their knowledge of special right triangles.

Similar Figures Activity

Geometry

Â» Unit:

Similar Figures

Big Idea:Students move about the room, seeking their partner in similarity and calculating missing values.

The Rope Stretcher

Geometry

Â» Unit:

Area Relationships

Big Idea:Students apply the Pythagorean Theorem and criteria for triangle congruence in a proof...and learn how the ancient pyramids of Egypt were laid out.

Create Your Own Similar Figures

Geometry

Â» Unit:

Similar Figures

Big Idea:Students create and investigate their own concave similar polygons.

Error Analysis: Finding Sides of Similar Triangles

Geometry

Â» Unit:

Similar Figures

Big Idea:Student examine common errors made in setting up and solving for missing sides of similar triangles.

CPCTC

Geometry

Â» Unit:

Proofs about Triangles

Big Idea:Students will use their knowledge of the ASA, SAS and SSS postulates to prove corresponding parts of congruent triangles are congruent.

Dilation and Similarity Unit Test

Geometry

Â» Unit:

Scaling Up- Dilations, Similarity and Proportional Relationships

Big Idea:Students will show what they know!

Building a Kicker Ramp

Geometry

Â» Unit:

Introduction to Trigonometry

Big Idea:Students are introduced to trigonometry as they use the properties of similar right triangles to evaluate a design for a skateboard ramp.

Introduction to Similar Right Triangles

Geometry

Â» Unit:

Similar and Right Triangles

Big Idea:Students investigate the three similar right triangles created by the altitude to the hypotenuse of a right triangle.

Finding Missing Sides of Similar Triangles

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:Students will use the criteria for similarity to find the measures of missing sides of a triangle.

AAS and ASA Fun

Geometry

Â» Unit:

Tremendous Triangles

Big Idea:Students will work with a partner to discover two more theorems as they explore why ASA and AAS congruence proves triangles are congruent.

Working with Similar Triangles

Geometry

Â» Unit:

Similar Figures

Big Idea:Similar or not similar? That is the question!

Using the Pythagorean Theorem

Geometry

Â» Unit:

Similar and Right Triangles

Big Idea:Students practice finding lengths of segments using the Pythagorean Theorem, with an eye toward discovering common Pythagorean triplets.

Similar Triangles and the Flatiron Building

Geometry

Â» Unit:

Similarity in Triangles

Big Idea:The Flatiron Building located in New York City is one of the most iconic buildings in the country. Its unique triangular shape makes it a great subject for mathematical investigations.

SAS-sy Triangles

Geometry

Â» Unit:

Tremendous Triangles

Big Idea:In this student-centered lesson, students will explore and explain why the SAS congruence theorem works to prove triangles congruent.

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.