6.+Assessment


 * NAME: Date: **
 * Questions 1 – 8 are three points each (2 for showing work and 1 for a the correct answer). Circle the correct response for multiple choice questions. **
 * 1. ** Jessica and Mike meet at a corner. Jessica turns 90° left and walks 5 paces; Mike continues straight and walks 6 paces. If a line segment connected them, it would measure closest to

8 paces

10 paces

7 paces

9 paces


 * 2. ** The legs of a table measure 3 feet long and the top measures 4 feet long. If the legs are connected to the table at a right angle, then what is the distance between the bottom of each leg and the end of the tabletop?

5 feet

7 feet

14 feet

25 feet


 * 3. ** Ruthanne is standing directly 300 meters under a plane. She sees another plane flying straight behind the first. It is 500 meters away from her, and she has not moved. How far apart are the planes from each other?

40 meters

400 meters

4,000 meters

40,000 meters


 * 4. ** Titus arranges the walls of his shed on the ground. The base of the first side measures 10 feet. The base of the second side measures 15 feet. If the walls are at a right angle from each other, the measure from the end of one side to the end of the second side equals closest to

35 feet

50 feet

42 feet

18 feet

**5.** An Isoceles triangle ABC with the base AC has a length of 30 cm. Point D is the midpoint of AC. If one leg of the triangle is 25 cm, what is the height of the triangle; Segment BD

15 cm

16 cm

18 cm

20 cm

**6a.** Triangle XYZ is a right triangle with angle Y = 90. If segment XY = 8 cm and segment XZ =17 cm, how long is segment YZ?

9 cm

15 cm

19 cm

25 cm

**6b.** Is 6a a Pythagorean Triple? Why or why not? (3 points)

**7.** The area of a square is 36 square feet. Which of the following measures is closest to the length of its diagonals?

8.1 feet

8.3 feet

8.5 feet

8.7 feet

**8.** A rectangle plotted on the x-y axis has coordinates of (-6,4), (7,4), (-6,-2), & (7,-2) find the exact length of the diagonal.

  **9.** Which of the following sets would not be considered a Pythagorean triple?

[24,10,26]

[21,20,29]

[16, √30,34]

[9,40,41]

**10.** Essay Question (3 points)

In your own words, explain the Pythagorean Theorem and its origins.