2. Find x and y. Write all radicals in simplest form. x y. A. B. C. 30°. 18 3 ft. 3. ... Which of the triples below could be sides of a ... 10. Find ...
Name _____________________________________________ Date _____________ Period _____________ Geometry Chapter 9 Quiz REVIEW 1. Find the perimeter of ∆PQR. R
P
6. The sides of a right triangle are x, x + 7, and x + 8 units long. Find the side lengths of the triangle by solving for x.
Q
9 cm
2. Find x and y. Write all radicals in simplest form. C x
y
30° A
18 3 ft
B
3. ABCD is a rectangle. b= ? A
5. How long is a string reaching from the top of a pole 16 feet tall to a point at ground level 11 feet from the pole? (Round to the nearest decimal place.)
D
b 15 ft
7. Find the radius of the largest circle that can be cut from a square piece of paper with a diagonal length of 24 centimeters. (Round to the nearest decimal place.)
8. Is a triangle with sides of length 60 centimeters, 80 centimeters, and 101 centimeters a right triangle?
9. Which of the triples below could be sides of a right triangle? 15 mm, 48 mm, 50 mm
b g b3 yd, 4 yd, 6 ydg b12 km, 35 km, 37 kmg b9 ft, 39 ft, 41 ft g
10. Find the values of x and y. N B
8 ft
C
26 mm
x 45° M
4. The hypotenuse of an isosceles right triangle is 13 inches. Find the perimeter.
30°
y
P
11. Are there any perfect squares left under the radical? 33
16. Determine whether ∆PQR is a right triangle by using the Converse of the Pythagorean Theorem. If the triangle is not a right triangle, explain what value RQ could be changed to in order to make ∆PQR a right triangle.
12. Find x and y. K
y 4 in.
R
45° J
x
M
4.5 2 cm
13. Tell whether the triangle with the given side lengths is a right triangle. Explain why or why not.
P
Q
4.5 cm
Q
85 m
Write with no perfect squares under the radical.
37 m
P
R
77 m
14. Use the Converse of the Pythagorean Theorem to determine whether the triangle is a right triangle.
17.
432
18. 7 9
19. 4 10 ⋅ 6 60
B
64 in.
20.
63 in.
d3 − 2 id4 + 5i
21. Find x. A 16 in. C
B
x
15. Find the value of x and y. T
45°
y S
30°
x
14 cm W
A
5 yd
C
22. Given that the perimeter of ∆QRT equals 19 inches, find the value of x. (Round answer to the nearest whole number.) R x 60° Q
T
23. Find the perimeter of ∆MNP. (Round to the nearest decimal place.) N
3 in.
8 in.
M
P
c
24. What is the perimeter of the triangle? (Round to the nearest decimal place.) N
30°
M
9 in.
L
25. Find the value of a. (Round to the nearest two decimal places.) B 12 mm A