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SAT Math 2: Geometry Formulas

Instructions:

Answer 31 questions in 15 minutes.
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Match each statement with the correct term.
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This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. Volume of a Prism
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)
bh
pirl
4pir^2

2. Standard Form of the Equation of a Circle
(x-h)^2 + (y-k)^2 = r^2 (h -k)
1/3pir^2h
(y-k)^2/a^2 - (x-h)^2/b^2 = 1
pir^2

3. Area of Sector
n/360 * pir^2
y = a(x-h)^2 + k
n/360 * 2pir
pir^2

4. Length of a Diagonal of a Cube
lwh
sv3
1/3bh
1/2bh

5. Surface Area of a Rectangular Solid
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
pir^2 + pirl
y = a(x-h)^2 + k
2lw + 2lh + 2wh

6. Standard Form of the Equation of a Parabola
pir^2h
2pir^2 + 2pirh
y = a(x-h)^2 + k
1/2bh

7. Standard Form of the Equation of a Hyperbola That Opens to The Sides
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
lwh
n/360 * 2pir
(n-2)180

8. Area of Parallelogram - Rectangle - and Rhombus
2pir^2 + 2pirh
1/2bh
(s1+s2)/2 * h
bh

9. Standard Form of the Equation of an Ellipse
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)
v(x2-x1)^2 + (y2-y1)^2
bh
pir^2

10. Volume of a Cube
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)
lwh
s^2
s^3

11. Length of Diagonal of a Rectangular Solid
1/2bh
vl^2w^2h^2
1/3pir^2h
(x-h)^2 + (y-k)^2 = r^2 (h -k)

12. Sum of Interior Angles of a Polygon
pirl
4pir^3/3
(n-2)180
1/2bh

13. Area of Circle
(s1+s2)/2 * h
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
4pir^3/3
pir^2

14. Midpoint Between Two Points
(x1+x2/2 - y1+y2/2)
n/360 * 2pir
y = a(x-h)^2 + k
vl^2w^2h^2

15. Surface Area of a Sphere
(n-2)180
1/3pir^2h
n/360 * pir^2
4pir^2

16. Volume of a Sphere
1/3pir^2h
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
4pir^3/3
6s^2

17. Volume of a Rectangular Solid
pir^2h
pirl
lwh
(s1+s2)/2 * h

18. Surface Area of a Cylinder
1/3bh
pir^2 + pirl
2pir^2 + 2pirh
2lw + 2lh + 2wh

19. Volume of a Cone
1/3pir^2h
(x1+x2/2 - y1+y2/2)
bh
y = a(x-h)^2 + k

20. Lateral Surface Area of a Cone
pirl
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)
v(x2-x1)^2 + (y2-y1)^2
6s^2

21. Volume of a Pyramid
n/360 * 2pir
1/3bh
pir^2 + pirl
4pir^3/3

22. Area of Trapezoid
(s1+s2)/2 * h
pir^2h
n/360 * pir^2
4pir^3/3

23. Arc Length
n/360 * 2pir
(s1+s2)/2 * h
(y-k)^2/a^2 - (x-h)^2/b^2 = 1
pir^2h

24. Area of Square
sv3
s^2
2lw + 2lh + 2wh
lwh

25. Circumference of Circle
2pir
(x1+x2/2 - y1+y2/2)
(s1+s2)/2 * h
6s^2

26. Distance in the Coordinate Plane
v(x2-x1)^2 + (y2-y1)^2
lwh
bh
2pir

27. Surface Area of a Cone
pir^2 + pirl
2pir^2 + 2pirh
4pir^3/3
1/2bh

28. Area of a Triangle
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
1/3pir^2h
bh
1/2bh

29. Standard Form of the Equation of a Hyperbola That Opens Upward and Downward
(x1+x2/2 - y1+y2/2)
sv3
(y-k)^2/a^2 - (x-h)^2/b^2 = 1
s^3

30. Volume of a Cylinder
2pir
(x1+x2/2 - y1+y2/2)
pir^2h
pir^2 + pirl

31. Surface Area of a Cube
6s^2
y = a(x-h)^2 + k
vl^2w^2h^2
(s1+s2)/2 * h