HSG-SRT.B.5

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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.

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## HSG-SRT.B.5

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

41 Lesson(s)

### Special Right Triangles Puzzle Activity

Geometry »
Unit: Similar and Right Triangles

Geometry »
Unit: Similar and Right Triangles

Big Idea:

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

Standards:

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(64)

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(11)

Big Idea:

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

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(22)

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(13)

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.

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(11)

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(26)

Big Idea:

#### Students create and investigate their own concave similar polygons.

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(8)

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(15)

### Error Analysis: Finding Sides of Similar Triangles

Geometry »
Unit: Similar Figures

Geometry »
Unit: Similar Figures

Big Idea:

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

Standards:

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(13)

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(10)

Big Idea:

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

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(7)

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(14)

### Dilation and Similarity Unit Test

Geometry »
Unit: Scaling Up- Dilations, Similarity and Proportional Relationships

Geometry »
Unit: Scaling Up- Dilations, Similarity and Proportional Relationships

Big Idea:

#### Students will show what they know!

Standards:

HSG-SRT.A
HSG-SRT.B.5

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(3)

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(20)

### Building a Kicker Ramp

Geometry »
Unit: Introduction to Trigonometry

Geometry »
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.

Standards:

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(20)

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(26)

### Introduction to Similar Right Triangles

Geometry »
Unit: Similar and Right Triangles

Geometry »
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.

Standards:

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(9)

Resources
(19)

Reflections
(1)

### Finding Missing Sides of Similar Triangles

Geometry »
Unit: Similarity in Triangles

Geometry »
Unit: Similarity in Triangles

Big Idea:

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

Standards:

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(6)

Resources
(17)

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.

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(4)

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(22)

Reflections
(2)

Big Idea:

#### Similar or not similar? That is the question!

Standards:

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(8)

Resources
(9)

### Using the Pythagorean Theorem

Geometry »
Unit: Similar and Right Triangles

Geometry »
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.

Standards:

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(7)

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(10)

Big Idea:

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

Standards:

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(5)

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(35)

Reflections
(5)

### Similar Triangles and the Flatiron Building

Geometry »
Unit: Similarity in Triangles

Geometry »
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.

Standards:

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(4)

Resources
(17)

Reflections
(1)

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