# File

```NAME _____________________________________________ DATE ____________________________ PERIOD _____________
PreAP HW due Thurs. Nov. 19, 2015
1. Determine the value of x in the figure shown below.
____________________________________
2. In the figure shown, identify one pair of angles that is
not congruent.
____________________________________
3. In the figure below, m∠ 1 = x&deg; and m∠ 2 = (x – 4)&deg;. What statement could be used to show that x = 47?
_________________________________________________________________
4. Rini used a stick to draw a right triangle in the ground. The hypotenuse of her triangle is 24 inches and one of the legs
is 12 inches. What is the length of the third side?
Round to the nearest tenth.
_________________________________________________________
5. In the figure shown, determine m∠ 6 if m∠ 2 = 75&deg;.
___________________________________________________________
6. Use the diagram at the right. Write and solve an equation to
determine how far above Jorge’s head the balloon is in the air.
Round to the nearest tenth.
_____________________________________________
Course 3 • Chapter 5 Triangles and the Pythagorean Theorem
53
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Determine the value of x in each triangle.
7.
8.
__________________________________
__________________________________
Determine the perimeter of each triangle.
9.
10.
__________________________________
__________________________________
11. The length of three sides of a triangle are 7 centimeters, 9 centimeters, and 11 centimeters. Determine whether the
triangle is a right triangle. Justify your response.
_______________________________________
_________________________________________________________________________________________
12. Maude’s living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the
diagonal of the living room. Round your answer to the nearest tenth if necessary.
__________________________________________________________________________________
Use a problem-solving model to solve each problem.
13. If m∠ 1 = (x + 70)&deg; and m∠ 2= (5x – 54)&deg;, what is
m∠ 3?
_______________
14. What is the value of a in the right triangle shown
below?
54
Course 3 • Chapter 5 Triangles and the Pythagorean Theorem
```