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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. Lateral Surface Area of a Cone
(s1+s2)/2 * h
pirl
bh
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)

2. Volume of a Cone
1/3pir^2h
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)
y = a(x-h)^2 + k

3. Standard Form of the Equation of an Ellipse
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
1/2bh
4pir^2
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)

4. Length of a Diagonal of a Cube
sv3
pir^2
(s1+s2)/2 * h
v(x2-x1)^2 + (y2-y1)^2

5. Area of a Triangle
pir^2h
2pir^2 + 2pirh
1/2bh
4pir^2

6. Surface Area of a Sphere
bh
1/3bh
2lw + 2lh + 2wh
4pir^2

7. Volume of a Rectangular Solid
bh
6s^2
pir^2
lwh

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

9. Surface Area of a Rectangular Solid
4pir^2
2lw + 2lh + 2wh
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)
pir^2h

10. Surface Area of a Cube
(s1+s2)/2 * h
pir^2 + pirl
6s^2
y = a(x-h)^2 + k

11. Volume of a Sphere
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)
4pir^3/3
sv3
1/3pir^2h

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

13. Volume of a Prism
pir^2h
s^3
bh
2pir

14. Standard Form of the Equation of a Hyperbola That Opens to The Sides
lwh
v(x2-x1)^2 + (y2-y1)^2
(n-2)180
(x-h)^2/a^2 - (y-k)^2/b^2 = 1

15. Standard Form of the Equation of a Hyperbola That Opens Upward and Downward
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
2lw + 2lh + 2wh
(y-k)^2/a^2 - (x-h)^2/b^2 = 1
1/2bh

16. Distance in the Coordinate Plane
v(x2-x1)^2 + (y2-y1)^2
bh
2pir
(x-h)^2 + (y-k)^2 = r^2 (h -k)

17. Standard Form of the Equation of a Parabola
y = a(x-h)^2 + k
1/3pir^2h
2pir^2 + 2pirh
(x1+x2/2 - y1+y2/2)

18. Midpoint Between Two Points
sv3
(x1+x2/2 - y1+y2/2)
pir^2
2pir

19. Area of Parallelogram - Rectangle - and Rhombus
y = a(x-h)^2 + k
pir^2
bh
v(x2-x1)^2 + (y2-y1)^2

20. Surface Area of a Cylinder
2pir^2 + 2pirh
v(x2-x1)^2 + (y2-y1)^2
pirl
(n-2)180

21. Sum of Interior Angles of a Polygon
pirl
n/360 * pir^2
(s1+s2)/2 * h
(n-2)180

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

23. Area of Trapezoid
(s1+s2)/2 * h
sv3
s^2
bh

24. Volume of a Pyramid
n/360 * 2pir
(y-k)^2/a^2 - (x-h)^2/b^2 = 1
1/3bh
(x1+x2/2 - y1+y2/2)

25. Area of Circle
4pir^2
bh
pir^2
(s1+s2)/2 * h

26. Circumference of Circle
(x-h)^2 + (y-k)^2 = r^2 (h -k)
s^2
2pir
(n-2)180

27. Length of Diagonal of a Rectangular Solid
6s^2
4pir^2
(y-k)^2/a^2 - (x-h)^2/b^2 = 1
vl^2w^2h^2

28. Surface Area of a Cone
pir^2 + pirl
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
pirl
pir^2h

29. Area of Square
vl^2w^2h^2
s^2
pir^2
4pir^2

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

31. Arc Length
2pir
1/3pir^2h
(x-h)/a^2 + (y-k)/b^2 = 1 (h -k)
n/360 * 2pir