HSG-SRT.B.4

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.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.

12 Lesson(s)

### Re-Calling Pythagoras' Theorem

Geometry »
Unit: Three Triangle Topics

Geometry »
Unit: Three Triangle Topics

Big Idea:

#### Students will persevere in challenging questions that require use of the Pythagorean Theorem.

Standards:

Favorites
(3)

Resources
(19)

Reflections
(2)

### Prove It (Part 2)

Geometry »
Unit: Similar and Right Triangles

Geometry »
Unit: Similar and Right Triangles

Big Idea:

#### Students work on proving hypotheses – and end up proving the Pythagorean Theorem.

Standards:

Favorites
(1)

Resources
(12)

### Proving Pythagoras' Theorem

Geometry »
Unit: Sweet Similar Shapes

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.

Standards:

Resources
(17)

Reflections
(1)

### Similar Triangles using Geometer's Sketchpad

Geometry »
Unit: Similarity in Triangles

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.

Standards:

Favorites
(1)

Resources
(15)

### Review Day for Sweet Similar Shapes

Geometry »
Unit: 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.

Standards:

Resources
(14)

### Proving Pythagorean Theorem Using Similar Triangles

Geometry »
Unit: Similarity

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.

Standards:

Resources
(22)

Reflections
(1)

### Special Right Triangles

Geometry »
Unit: Right Triangles and Trigonometry

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.

Standards:

Favorites
(5)

Resources
(16)

Reflections
(2)

### Prove Triangle Midsegment Theorem using Analytic Geometry

Geometry »
Unit: 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.

Standards:

Resources
(22)

Reflections
(1)

### Proving Theorems About Triangles

Geometry »
Unit: Developing Logic and Proof

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.

Standards:

Resources
(6)

### Proving Theorems involving Similar Triangles

Geometry »
Unit: Similarity

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.

Standards:

Resources
(17)

Reflections
(1)

### Making Conjectures about the Midsegments of a Triangle

Geometry »
Unit: Developing Logic and Proof

Geometry »
Unit: Developing Logic and Proof

### Review for Trigonometry Unit Assessment

Geometry »
Unit: Triangle Similarity and Trigonometric Ratios

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.

Standards:

Resources
(10)

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