Pythagorean Theorem & The Coordinate Plane

Use the picture to help you answer the question.
Make sure to:
-ID the legs and hypothenuse
-Plug in those values into  $a^2+b^2=c^2$  

-Simplify the exponents
-Get the variable by itself
-No need to take the square root this time:)

•  $\sqrt{20}$  

•  $\sqrt{21}$  

•  $\sqrt{40}$  

•  $\sqrt{58}$  

Tags

CCSS.8.EE.A.2

CCSS.8.G.B.6

CCSS.8.G.B.7

CCSS.8.G.B.8

Use the picture to help you answer the question.
Make sure to:
-ID the legs and hypothenuse
-Plug in those values into $a^2+b^2=c^2$

-Simplify the exponents
-Get the variable by itself
-No need to take the square root this time:)

• $\sqrt{29}$

• $\sqrt{40}$

• $\sqrt{65}$

• $\sqrt{72}$

Tags

CCSS.8.EE.A.2

CCSS.8.G.B.6

CCSS.8.G.B.7

CCSS.8.G.B.8

Use the picture to help you answer the question.
Make sure to:
-ID the legs and hypothenuse
-Plug in those values into $a^2+b^2=c^2$

-Simplify the exponents
-Get the variable by itself
-You may have to take the square root to find your answer

• 5 units

• 13 units

• $\sqrt{65}$

•  $\sqrt{97}$ 

Tags

CCSS.8.EE.A.2

CCSS.8.G.B.7

CCSS.8.G.B.8

Click on the picture to see the question. Don't forget:

-ID your legs & hypothenuse
-Count the units of each leg 
-Plug in that information into   $a^2+b^2=c^2$  
-Simplify your exponents
-Get the variable on one side
-Take the square root 

• 8 units

• 12 units

• 15 units

• 21 units

Tags

CCSS.8.EE.A.2

CCSS.8.G.B.6

CCSS.8.G.B.7

CCSS.8.G.B.8

Use the coordinate grid to answer questions about Carla's visit to the movie theater. If Carla is late to the movie and wants to take the quickest path (from point A to point B), how far will she have to travel?
HINT: Find the distance of both legs by counting the units AND THEN figure out the hypotenuse using... $a^2+\ b^2=c^2$  

• 7 units

• 8 units

• 9 units

• 12 units

Tags

CCSS.8.G.B.7

CCSS.8.G.B.8

Use the map of Sarah's town to answer the question below.

What is the distance Sarah will travel from her house to Randi's?

• 5 units

• 6 units

• 8 units

• 10 units

Tags

CCSS.8.G.B.7

CCSS.8.G.B.8

Use the map of Sarah's town to answer the question below.

What is the distance Sarah will travel from Randi's house to to the store?

• 5 units

• 6 units

• 8 units

• 10 units

Tags

CCSS.8.G.B.7

CCSS.8.G.B.8

Use the map of Sarah's town to answer the question below.
What is the distance Sarah will travel from the store to her house? (Use the Pythagorean Theorem to help you  $\alpha^2+b^2=c^2$  )

• 5 units

• 6 units

• 8 units

• 10 units

Tags

CCSS.8.G.B.7

CCSS.8.G.B.8

Click on picture to see the question.
-Don't forget to visualize the legs of the triangle.
-Count the units of each leg
-Plug that information into  $a^2+b^2=c^2$  

-Simplify your exponents
-Get the variable by itself by combining like terms

• A) 13

• B) 16

• C) 21

• D) 29

Answer explanation

Tags

CCSS.8.G.B.7

CCSS.8.G.B.8

Use the picture to answer the question.
HINT: Visualize the legs AND then use  $a^2+b^2=c^2$  to solve the rest of the problem.

• 12.3 units

• 12.2 units

• 10.2 units

• 10.3 units

Tags

CCSS.8.G.B.7

CCSS.8.G.B.8