Ch. 2 Review

​Ch.2 Review

• ​Writing Pythagorean theorem equations

  • algebraically

  • words​

• ​Word problems

• ​Finding missing side lengths

• Distance between two points​

Expectations:

• Take notes as you watch the video.

• Show all work for practice problems.

• ​Turn it in when you are done.

Writing Pythagorean Theroem Equations

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Multiple Choice

Write the Equation to solve this.

• $$5+12=c$$  

• $$12^2+b^2=5^2$$  

• $$5^2+b^2=12^2$$  

• $$5^2+12^2=c^2$$  

Multiple Choice

^{Write the equations to solve this.}

• $$30^2+b^2=78^2$$  

• $$a^2+78^2=30^2$$  

• $$78^2+30^2=c^2$$  

• $$78+30=b$$  

Multiple Choice

Which equation is modeled by the picture shown?

• 3²+5²=4²
• 3²+4²=5²
• 5²+4²=3²
• 9²+16²=25²

Multiple Choice

Which statement best describes how to solve the picture.

• eighteen plus eighty two equals b.

• eighteen squared plus b squared equals eighty two squared

• eighteen squared plus b squared equals eighty two

• eighty two squared plus eighteen squared equals b squared

Multiple Choice

Which statement best describes how to solve.

• twenty squared plus forty eight squared equals c squared

• twenty plus forty eight equals c

• twenty squared plus b squared equals forty eight squared

• forty eight squared plus b squared equals twenty squared

​Word Problems

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Multiple Choice

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Multiple Choice

Solve for the walkway length

• 30
• 40
• 58
• 35

Multiple Choice

The size of a television screen is measured by the length of the diagonal of the screen.  What size is a television screen that is 3 feet tall and 6 feet wide?

• 18
• 6.7

Multiple Choice

Madison is on the top of an 80 foot building. She is creating a zipline course to the ground with 100 feet of cable. How far from the base of the building will she need to anchor the cable to make the zipline cable tight?

• 60 feet
• 20 feet
• 180 feet

​Finding Missing Side Lengths

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Multiple Choice

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

Multiple Choice

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Multiple Choice

Solve for x.

• $$x=\sqrt[]{4}$$  

• $$x=34$$  

• $$x=\sqrt[]{34}cm$$  

• $$x=4$$  

Multiple Choice

Determine the length of the missing side.

• 7

• 8

• 17

• 23

​Distance Between Two Points

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Multiple Choice

Find the distance.

• 8.75

• 7

• 7.81

• 8.97

Multiple Choice

Find the distance.

• 9.7
• 10.7
• 11.7
• 12.7

Multiple Choice

What is the distance between the two points?

• 6.3
• 6.5
• 6.7
• 16