Download Foundations to Algebra Name Geometry Quiz 2 Review Date Circle

Foundations to Algebra
Geometry Quiz 2 Review
Name ______________________
Date _______________________
Circle Formulas:
Area: A = _________________
Circumference (given diameter): C = __________________
Circumference (given radius): C = __________________
Find the circumference and area of each circle. Use 3.14 as your value of pi. Round
final answers to the nearest hundredth.
1.
2.
8 cm 10.5 in Circ. __________________________ Circ. __________________________ Area __________________________ Area __________________________ Find the radius of each circle. Use 3.14 as your value of pi. Round final answers to the
nearest hundredth.
3. Circumference = 62.8 mi
4. Circumference = 25.1 ft
Find the area of each circle. Use 3.14 as your value of pi. Round final answers to the
nearest hundredth.
5. Circumference = 8 π m
6. Circumference = 40 π yd
Area____________
Area____________ Find the area and perimeter of each shape below. Show your steps and your work.
Don’t forget to label your answers correctly!
5 in
7. 6 cm
3 in
5 in
8. 2 cm
4 cm
7 in
4 cm
2 cm
2 cm
2 in
3 in
9. The shape at the right is composed of a rectangle and a semi-circle (half of a circle).
Find the perimeter and the area of this figure.
16 ft
4ft
Perimeter __________ Area _________
10. Find the surface area and volume of each shape built with cubic centimeter blocks.
a)
b)
Surface Area ________________
Surface Area ________________
Volume ____________________
Volume ____________________
11. Find the volume and surface are of the following prisms.
a)
b)
4 in
2 ft
11 in
7 in
6 ft
3.5 ft
Volume ______________
Volume ______________
Surface Area __________
Surface Area __________
12. Find the volume of the following prisms.
10.6 in
a)
b)
6m
8 in
3m
6m
10 m
7 in
8 in
Volume ______________
Volume ______________
c)
d)
2 in
7 in
6 in
9 in
Volume ______________
Volume ______________
13. Find the length of the missing side. Round answers to the nearest tenth.
a)
b)
c)
8 cm
7 cm
12 cm
13 ft
5 cm
11 ft
_______________________________________________________________________
14. Lydia has four straws of different lengths, and she is trying to form a right triangle.
The lengths are 5, 6, 12, and 13 units. Which three lengths should she use?
Justify your answer.
15. Use the vocabulary terms you learned to classify the following angle pairs. Use the
terms complementary, supplementary, adjacent, and vertical.
a) b) 40˚ 40˚ 25˚ 65˚ 30˚ c) d) 150˚ 40˚ 65˚ 16. Classify each of the following pairs of angles as corresponding, alternate interior,
same side interior, straight, or “none of these.”
17. Find the value of x.
a)
b)
9x −18
10x −11
7x + 16
4x + 5
c)
d)
80°
120° 9x + 10
e)
11x + 10
f)
3x x 3x + 4 44° 5x 2x + 20 18. Determine the positive value that makes each equation true. If the answer is not a
whole number, write it as a square root, and then approximate it as a decimal
rounded to the nearest tenth.
a) If x2 = 36, x = ___________
b) If x2 = 65, x = __________
c) If x2 = 84, x = ____________
d) If x2 = 13, x = __________
19. Can the following side lengths form a triangle? Explain your reasoning.
a) 6 cm, 3 cm, 4 cm
b) 5 cm, 2 cm, 1 cm
c)
12 cm, 14 cm, 20 cm
20. The following side lengths form a triangle. Determine if the triangle would be acute,
obtuse, or right. Show your work or explain your reasoning.
a) 8 cm, 12 cm, 16 cm
b) 10 cm, 24 cm, 26 cm
c) 4 cm, 7 cm, 9 cm
21. Determine whether the numbers are rational or irrational. If they are rational,
write the number as its fractional equivalent. If it is not rational, explain why not.
a)
b)
c) 0.25
d)
e)
22. Use the picture at the right to answer the following questions. Each
separate problem.
5 a) If m∠1 = 130° and m∠5 = 4x + 18°, write an
4 equation and find x.
1 3 part is a
2 b)
If m∠3 = 2x + 30° and m∠4 = 6x – 10°, write an equation to find x and find m∠1.