7.3.1 Pythagorean Theorem And Distance in a Coordinate Plane

Categorize

Options (4)

Determine which of the following triangles are right triangles.​

 

A right triangle​

Not a right triangle​

Reorder

Drag the steps into the correct order to show the process of calculating the missing side length, c. The first and last steps are labeled for you.

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Match

Match the leg and the hypotenuse lengths to the correct missing leg length. You can sketch the right triangles to label the lengths if that is helpful.​

​

Use a calculator to help you if needed. Round to the nearest tenth if necessary.

• Leg 8 and Hypotenuse 10

• Leg 8 and Hypotenuse 9​

• Leg 20 and Hypotenuse 29​

Leg 6

Leg 4.1

Leg 21

• Leg 6

• Leg 4.1

• Leg 21

Multiple Choice

Kareena purchased a new laptop. The screen of the laptop is 13.8 inches long and the diagonal measures 15.6 inches. What is the width of Kareena’s laptop? Round to the nearest tenth.

• A. 9.4 inches

• B. 6.7 inches

• C. 7.3 inches

• D. 8.6 inches

Categorize

Options (3)

Leg lengths of 11 and 15​

Leg lengths of 17 and 7.6​

Leg lengths of 7.3 and 8​

Sort the given leg lengths to the correct categories of lengths of the hypotenuse. Round your answer to the nearest tenth.

Hypotenuse 10.8​

Hypotenuse 18.6​

Multiple Choice

Miles wants to build a diagonal path across his rectangular backyard from one corner to the opposite corner. His backyard measures 20 feet by 30 feet.​

​

How long should the diagonal path be? Round your answer to the nearest whole foot?

• A. 25 feet

• B. 36 feet

• C. 30 feet

• D. 37 feet

Draw

Draw a vertical and horizontal line from the points on the diagonal line provided to create a right triangle.

Multiple Choice

Which equation could you use to solve for the diagonal distance of the two coordinate points show?

• A. $$\ 2^2+3^{2\ }=\ c^2$$

• B. $$3^2+b^2=2^2$$

• C. $$a^2+2^2=3^2$$

• D. $$2^2+b^2=3^2$$

Categorize

Options (4)

$$4^2+9^2=c^2$$  

$$10^2+3^2=c^2$$  

9.8

10.4

Determine the equations and distances between points for line segments WX and JK. Round to the nearest tenth.​

WX

JK

Categorize

Options (4)

$$11^2+7^2=c^2$$  

$$2^2+6^2=c^2$$  

13.0

6.3

Determine the equations and distances between points for Line segments FG and MN. Round to the nearest tenth.​

FG

MN

Multiple Choice

Exit Ticket​

Rowan is working on finding the diagonal distance between the points M and N. Her work is shown below. Determine if her work is correct. If not, explain her mistake.

Open Ended

On a scale from 1-10, how well do you feel you understood the lesson today.

(1 being didn't understand at all and 10 being you understood everything)