# Unit 2 Wrap-Up

### Pythagorean Theorem

## Overview of the Unit

Throughout unit 2 we have been working on finding the missing side of a right triangle by using Pythagorean Theorem. Here are some things we have learned:

-How to find the hypotenuse.

-How to find a missing leg.

-Finding the distance between two points.

-Finding the diagonal of a two-dimensional figure

-Finding the area of a composite figure by first finding a side length.

-Finding the diagonal of a three-dimensional figure

-Applying Pythagorean Theorem to real life problems.

The test will take place tomorrow in class. Please come prepared to begin when the bell rings to maximize class time.

-How to find the hypotenuse.

-How to find a missing leg.

-Finding the distance between two points.

-Finding the diagonal of a two-dimensional figure

-Finding the area of a composite figure by first finding a side length.

-Finding the diagonal of a three-dimensional figure

-Applying Pythagorean Theorem to real life problems.

The test will take place tomorrow in class. Please come prepared to begin when the bell rings to maximize class time.

## Test Hint!

## Pythagorean Pythagorean Theorem

**subtract**the area of one leg from the area of the hypotenuse.

## Converse of the Pythagorean Theorem

## Using Pythagorean Theorem

## 3-D Diagonal To find the diagonal through a 3-D figure you must first figure out the length of it's legs. One leg goes through the center of the base, so use Pythagorean Theorem to find it first. (The diagonal of the base becomes the leg of the 3-D diagonal). | ## A ladder leaning against a wall We've looked at finding the length of the ladder, finding how far it needs to be placed from the wall, and finding how high up the building it can reach. | ## Baseball Diamond What's the longest distance inside of infield? The distance between home and 2nd or between 1st and 3rd. It's the diagonal! |

## 3-D Diagonal

To find the diagonal through a 3-D figure you must first figure out the length of it's legs. One leg goes through the center of the base, so use Pythagorean Theorem to find it first. (The diagonal of the base becomes the leg of the 3-D diagonal).

## A ladder leaning against a wall

We've looked at finding the length of the ladder, finding how far it needs to be placed from the wall, and finding how high up the building it can reach.

## Distance Between Two Points

You can find the lengths of the legs by counting the sides or subtracting (x2 - x1) and (y2 - y1). Be careful to pay attention to scaling of the graph if you count.

For the triangle above the legs are 3 and 4. To find the distance between the two points we'll do 32 + 42 = c2 (sorry the exponents don't look right)

9 + 16 = c2

25 = c2

5 = c

We can determine that the distance between the two points is 5 units.

## Upcoming Deadlines

__Unit 1 Test Corrections Due - Friday, Sept. 18th__

**Unit 1**

Unit 1 Test Retest - last day, Thursday, Sept. 25th (during tutorials)

Corrections to Comparing Rational Numbers Homework - Friday, Sept. 18th

Corrections to Square Roots Homework - Friday, Sept 18th

__2.1 Pythagorean Theorem Homework Corrections due Monday, Sept. 22__

**Unit 2**

2.3 Pythagorean Theorem Homework Corrections due Tuesday, Sept. 23

2.4 Pythagorean Theorem Distance Between Two Points Quiz due Thursday, Sept. 25

Unit 2 Test Corrections will be due Thursday, October 2nd. (if needed).