HSG-SRT.B.5

Scroll Up

- 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.

Scroll Down

## 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:

Favorites
(64)

Resources
(11)

Big Idea:

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

Standards:

Favorites
(22)

Resources
(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.

Standards:

Favorites
(11)

Resources
(26)

Big Idea:

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

Standards:

Favorites
(8)

Resources
(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:

Favorites
(13)

Resources
(10)

Big Idea:

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

Standards:

Favorites
(7)

Resources
(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

Favorites
(3)

Resources
(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:

Favorites
(20)

Resources
(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:

Favorites
(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:

Favorites
(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.

Standards:

Favorites
(4)

Resources
(22)

Reflections
(2)

Big Idea:

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

Standards:

Favorites
(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:

Favorites
(7)

Resources
(10)

### 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:

Favorites
(4)

Resources
(17)

Reflections
(1)

Big Idea:

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

Standards:

Favorites
(5)

Resources
(35)

Reflections
(5)

Common Core Math

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### Eighth Grade

### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School