7.3.1 Pythagorean Theorem And Distance in a Coordinate Plane

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Easy

Marshall Neff

Used 3+ times

FREE Resource

16 Slides • 12 Questions

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.

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

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.

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.

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)

Type response here

Show answer

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