| Vocabulary | Solving Equations | Pythagorean Theorem | Real World Pythagorean Theorem | Review |
| 10 | 10 | 10 | 10 | 10 |
| 20 | 20 | 20 | 20 | 20 |
| 30 | 30 | 30 | 30 | 30 |
| 40 | 40 | 40 | 40 | 40 |
| 50 | 50 | 50 | 50 | 50 |
| Final Question | ||||
What is a line connecting two non-adjacent vertices in a polygon called?
What is a line connecting two non-adjacent vertices in a polygon called?
A Diagonal
What is the side opposite of the right angle called? Hint: This is also the longest side in a right triangle.
What is the side opposite of the right angle called? Hint: This is also the longest side in a right triangle.
The Hypotenuse
What vocabulary terms do we use to describe P, M, N, and R? 
What vocabulary terms do we use to describe P, M, N, and R?
M: Leg N: Leg P: Hypotenuse R: Right Angle
Fill in the blank: The ________________________ is used when the hypotenuse squared equals the sum of the legs squared to prove the triangle is a right triangle.
Fill in the blank: The ________________________ is used when the hypotenuse squared equals the sum of the legs squared to prove the triangle is a right triangle.
Pythagorean Theorem
What are three integers that satisfy the Pythagorean Theorem called?
What are three integers that satisfy the Pythagorean Theorem called?
Pythagorean Triple
What is k? 10 - 5k = 35
What is k? 10 - 5k = 35
k = -5
What is s? 3s³ = 81
What is s? 3s³ = 81
s = 3
What is m? m/7 + 9 = 14
What is m? m/7 + 9 = 14
m = 35
What is n? 4n + 6 = - 74 – 6n
What is n? 4n + 6 = - 74 – 6n
n = -8
What is j? 5(j - 4) + 76 = -3j
What is j? 5(j - 4) + 76 = -3j
j = -7
If X = 7.5 cm and Y = 18 cm, what is the length of Z? (Round to the nearest tenth)
If X = 7.5 cm and Y = 18 cm, what is the length of Z? (Round to the nearest tenth)
19.5 cm
Is a triangle with the following dimensions: 5in., 10in., 12in. a right triangle?
Is a triangle with the following dimensions: 5in., 10in., 12in. a right triangle?
No
If J = 10 m, and K = 6 m, what is the length of L? 
If J = 10 m, and K = 6 m, what is the length of L?
8 m
If E = 3.5 inches and F = 12 inches, what is the length of D? (Round to the nearest tenth)
If E = 3.5 inches and F = 12 inches, what is the length of D? (Round to the nearest tenth)
12.5 in.
Are the following three integers: 9, 40, 41 a Pythagorean Triple?
Are the following three integers: 9, 40, 41 a Pythagorean Triple?
Yes
How long is the lake? (Round to the nearest tenth)
How long is the lake? (Round to the nearest tenth)
15.9 mi
How far is the helicopter from the car? (Round to the nearest tenth)
How far is the helicopter from the car? (Round to the nearest tenth)
161.6 yd
Connor loves to watch movies in the letterbox format on his television. He wants to buy a new television with a screen that is at least 25 inches by 13.6 inches. What diagonal size television meets Connor’s requirements? (Round to the nearest tenth)
Connor loves to watch movies in the letterbox format on his television. He wants to buy a new television with a screen that is at least 25 inches by 13.6 inches. What diagonal size television meets Connor’s requirements? (Round to the nearest tenth)
28.5 in.
Suppose Lake City, Gainsville, and Jacksonville, Florida, from a right triangle. What is the distance from Lake City to Jacksonville? (Round to the nearest tenth)
Suppose Lake City, Gainsville, and Jacksonville, Florida, from a right triangle. What is the distance from Lake City to Jacksonville? (Round to the nearest tenth)
60.7 mi
An isosceles right triangle is a right triangle in which both legs are equal in length. If the leg of an isosceles triangle is 4 inches long, what is the length of the hypotenuse? (Round to the nearest tenth)
An isosceles right triangle is a right triangle in which both legs are equal in length. If the leg of an isosceles triangle is 4 inches long, what is the length of the hypotenuse? (Round to the nearest tenth)
5.7 in
Which of the following is a rational number? A. Square root of 76 B. Square root of 34 C. Square root of 36 D. Square root of 2
Which of the following is a rational number? A. Square root of 76 B. Square root of 34 C. Square root of 36 D. Square root of 2
C. Square root of 36
Shelly can run at a pace of 8 miles per hour. Assuming she can maintain this pace, how far can she run in 2 ¼ hours?
Shelly can run at a pace of 8 miles per hour. Assuming she can maintain this pace, how far can she run in 2 ¼ hours?
18 miles
If a decimal is non-repeating and doesn’t end, what do we call it?
If a decimal is non-repeating and doesn’t end, what do we call it?
An Irrational Number
Please list the numbers from least to greatest. 5, 4 ½, 4.55
Please list the numbers from least to greatest. 5, 4 ½, 4.55
4 ½ , 4.55, 5
Cassidy is going to the county fair with her friends but can only stay at the fair for 4 hours. The fair offers two different pricing structures. Cassidy can purchase an all-day pass with unlimited rides for $45.00 or she can pay an admission fee of $9.00 and pay $4.00 for each ride. If Cassidy rides 14 rides, how much does she save by buying the all-day pass?
Cassidy is going to the county fair with her friends but can only stay at the fair for 4 hours. The fair offers two different pricing structures. Cassidy can purchase an all-day pass with unlimited rides for $45.00 or she can pay an admission fee of $9.00 and pay $4.00 for each ride. If Cassidy rides 14 rides, how much does she save by buying the all-day pass?
$20.00
Name an example of a Pythagorean Triple.
Name an example of a Pythagorean Triple.
3, 4, 5 and many more
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