1. Devon designed a sign for his company. The sign is in the shape of a right triangle. One leg of the triangle is 4 feet. The other leg is 3 feet long. a.Make a sketch of the shape of the sign. Label the measurements of the legs and hypotenuse of the sign. b.What is the length, in feet, of the hypotenuse of the sign?

2. Aileen is making a flag for one of her classes. The flag is in the shape of a right triangle. If the two sides of the triangle are 5 inches and 12 inches, what is the length of the third side (hypotenuse)?

3. Cameron walked 9 meters due east and then 40 meters due north in Central Park in New York City. What is the shortest distance from the point where Cameron started to where she ended? A. 31 B. 41 C. 49 D. 360

4. Jeb built a ramp like the one pictured below. What is the height, in inches, of Jeb’s ramp? A. 5 B. 12 C. 18 D. 36 12 in. 13 in. height

5. Lookout Road is perpendicular to Village Road. Sam knows that the straight-line distance from his house to Julie’s house is 15 miles. Julie knows that the straight-line distance from her house to the library is 12 miles. Sam used the Pythagorean Theorem to estimate the distance from his house to the library. What is the distance from Sam’s house to the library? A. 3 miles B. 9 miles C. 12 miles D. 27 miles

6. A right triangle has a hypotenuse measuring 15 inches and one leg measuring 9 inches. What is the length, in inches, of the other leg of the triangle? A. 3 B. 6 C. 10 D. 12

7. From the front door of his house, Darren walked 9 yards due east and 12 yards due south. What is the shortest distance in yards from Darren’s starting point to where he stopped?

8. Mrs. Hinojosa wants to find the length of the diagonal of the rectangular floor of her classroom that measures 20 feet by 21 feet. a.Draw and label a picture of Mrs. Hinojosa’s classroom floor. b.b. Calculate the diagonal length of the classroom floor.

9. Jamie is going to fence his garden to keep rabbits out. If his rectangular garden has a length of 12 feet and a width of 9 feet, what is the diagonal, in feet, of the garden? A. 42 B. 36 C. 21 D. 15

10. Trapezoid JKLM is shown below. If the length of the altitude in the trapezoid is 8 centimeters, what is the length of leg KL? A. 12 cm B. 10 cm C. 9 cm D. 6 cm

11. The dimensions of a trapezoid are shown in the diagram below. What is the length, in feet, of k?

12. The dimensions of a trapezoid shaped flag are shown below. What is the length, in centimeters, of h?

13. Reid, Dario, and Ruben each have 3 pieces of craft sticks. The chart below shows the lengths of each of their pieces of craft sticks. Lengths of Craft Sticks, (in centimeters) Each boy wants to use his 3 pieces of craft sticks to form a right triangle. The pieces of craft sticks cannot be bent, broken, cut, or overlapped. The pieces of craft sticks must be placed so that only the ends of the pieces of craft sticks are touching. Which boy or boys can use their pieces of craft sticks to form a right triangle? Piece 1Piece 2Piece 3 Reid12910 Dario13125 Ruben534

14. Which of the two triangles shown below has the greater area? How many square units is the greater triangle?