Vocabulary |
#1 |
What is a line connecting two non-adjacent vertices in a polygon called? |
A Diagonal |
#2 |
What is the side opposite of the right angle called? Hint: This is also the longest side in a right triangle. |
The Hypotenuse |
#3 |
What vocabulary terms do we use to describe P, M, N, and R? |
M: Leg N: Leg P: Hypotenuse R: Right Angle |
#4 |
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 |
#5 |
What are three integers that satisfy the Pythagorean Theorem called? |
Pythagorean Triple |
Pythagorean Theorem |
#1 |
If X = 7.5 cm and Y = 18 cm, what is the length of Z? (Round to the nearest tenth) |
19.5 cm |
#2 |
Is a triangle with the following dimensions: 5in., 10in., 12in. a right triangle? |
No |
#3 |
If J = 10 m, and K = 6 m, what is the length of L? |
8 m |
#4 |
If E = 3.5 inches and F = 12 inches, what is the length of D? (Round to the nearest tenth) |
12.5 in. |
#5 |
Are the following three integers: 9, 40, 41 a Pythagorean Triple? |
Yes |
Real World Pythagorean Theorem |
#1 |
How long is the lake? (Round to the nearest tenth) |
15.9 mi |
#2 |
How far is the helicopter from the car? (Round to the nearest tenth) |
161.6 yd |
#3 |
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. |
#4 |
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 |
#5 |
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 |
Review |
#1 |
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 |
#2 |
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 |
#3 |
If a decimal is non-repeating and doesn’t end, what do we call it? |
An Irrational Number |
#4 |
Please list the numbers from least to greatest. 5, 4 ½, 4.55 |
4 ½ , 4.55, 5 |
#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? |
$20.00 |