HSG-SRT.B.4

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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.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:

Favorites
(1)

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)

### 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)

### 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)

### 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 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)

### 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)

### 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)

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