HSG-SRT.A.3

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- HSG-SRT.A.1Verify experimentally the properties of dilations given by a center and a scale factor:
- HSG-SRT.A.2Given 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.
- HSG-SRT.A.3Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

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## HSG-SRT.A.3

## Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

16 Lesson(s)

### Transformations + Similarity

Geometry »
Unit: Sweet Similar Shapes

Geometry »
Unit: Sweet Similar Shapes

Big Idea:

#### Students will use a pair-share activity and activate their prior knowledge to discover how transformations connect to AA criterion.

Standards:

Favorites
(7)

Resources
(16)

Reflections
(1)

Big Idea:

#### Students will complete a discovery activity to uncover key properties of similar triangles and apply knowledge of AA criterion.

Standards:

Favorites
(3)

Resources
(19)

Reflections
(2)

### 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
(10)

Resources
(10)

### Proving that Triangles are Similar

Geometry »
Unit: Similar Figures

Geometry »
Unit: Similar Figures

Big Idea:

#### Similar triangle proofs, made easy and understandable!

Standards:

Favorites
(9)

Resources
(9)

### Discovering Similar Triangles

Geometry »
Unit: Sweet Similar Shapes

Geometry »
Unit: Sweet Similar Shapes

Big Idea:

#### Completing a hands-on activity, students will cut, categorize and discover properties of similar triangles.

Standards:

Favorites
(21)

Resources
(29)

Reflections
(5)

### 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)

### 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)

### More Discovering Similar Triangles

Geometry »
Unit: Sweet Similar Shapes

Geometry »
Unit: Sweet Similar Shapes

Big Idea:

#### Students will finish discovering key properties of similar triangles and will practice identifying if two shapes are similar.

Standards:

Favorites
(2)

Resources
(14)

### Working with Similar Triangles, Part 2

Geometry »
Unit: Similar Figures

Geometry »
Unit: Similar Figures

Big Idea:

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

Standards:

Favorites
(2)

Resources
(10)

Big Idea:

#### Students pull together concepts, both new and old, in preparation for a summative assessment.

Standards:

Favorites
(1)

Resources
(11)

### Assessment for Sweet Similar Shapes

Geometry »
Unit: Sweet Similar Shapes

Geometry »
Unit: Sweet Similar Shapes

Big Idea:

#### Students will be assessed on their knowledge of similarity on a test or problem set.

Standards:

Favorites
(1)

Resources
(12)

Reflections
(1)

Big Idea:

#### This is a comprehensive assessment of all content learned to date.

Standards:

Favorites
(1)

Resources
(12)

Reflections
(1)

### Definition of Similarity and Similar Triangles

Geometry »
Unit: Triangle Similarity and Trigonometric Ratios

Geometry »
Unit: Triangle Similarity and Trigonometric Ratios

Big Idea:

#### Students' prior knowledge of transformations and congruence helps them make connections as they learn to use similarity shortcuts.

Standards:

Favorites
(1)

Resources
(28)

Reflections
(3)

Big Idea:

#### Students pull together concepts, both new and old, in preparation for a summative assessment.

Standards:

Resources
(9)

Big Idea:

#### Enough is enough...but what is enough? In this lesson, students will determine the criteria that are sufficient for determining triangle similarity.

Standards:

Favorites
(2)

Resources
(15)

Reflections
(1)

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### 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