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SAT Math: Geometry Formulas

Instructions:

Answer 35 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 cone and pyramid
s^2(root3)/4
(d1*d2)/2
1/3*bh
(3*6)/2= 9

2. Pythagorean triple beginning with 12
5(2+3)/2= 15
4(pi)3^2= 36(pi)
12-35-37
(4/3)(pi)3^3= 36(pi)

3. Area of an equilateral triangle with side s
4/3(pi)r^3
s^2(root3)/4
2^2(root3)/4= root3
1/3*bh

4. Total degrees in 100 sided polygon
3(root3)
180(100-2)= 17640
4(pi)r^2
12-35-37

5. Area of a trapezoid - given bases b - height h
h(b1+b2)/2
5-12-13
180(200-2)= 35640
2^2(root3)/4= root3

6. Diagonal of a cube with side root3
3^2(root3)/4= 9(root3)/4
root3(root3)= 3
s^2(root3)/4
(4/3)(pi)3^3= 36(pi)

7. Area of a rhombus - given diagonals - 3 and 6
(3*6)/2= 9
7-24-25
h(b1+b2)/2
3^2(root3)/4= 9(root3)/4

8. Pythagorean triple beginning with 8
x^2/2
5(2+3)/2= 15
8-15-17
3^2/2= 9/2

9. Area of a rhombus - given diagonals - 1 and 2
4(1+2)/2= 6
(1*2)/2= 1
s(root3)/2
180(n-2)

10. Area of an equilateral triangle with side 2
(d1*d2)/2
4(1+2)/2= 6
x^2/2
2^2(root3)/4= root3

11. Area of a rhombus - given diagonals d
s(root3)
180(100-2)= 17640
4(1+2)/2= 6
(d1*d2)/2

12. Parallelogram with equal sides
5-12-13
3^2/2= 9/2
rhombus
4(pi)3^2= 36(pi)

13. Area of an equilateral triangle with side 3
3^2(root3)/4= 9(root3)/4
2^2(root3)/4= root3
(d1*d2)/2
3^2/2= 9/2

14. Volume of a cylinder and prism
b*h
2^2(root3)/4= root3
4/3(pi)r^3
s^2(root3)/4

15. Total degrees in n-sided polygon
b*h
root3(root3)= 3
4^2/2= 8
180(n-2)

16. Volume of a sphere given radius 3
4(pi)3^2= 36(pi)
(4/3)(pi)3^3= 36(pi)
1^2/2= 1/2
3^2(root3)/4= 9(root3)/4

17. Area of a square with a diagonal of 4
4(pi)3^2= 36(pi)
9-40-41
4^2/2= 8
4/3(pi)r^3

18. Height of equilateral triangle with side s
s(root3)/2
4(pi)3^2= 36(pi)
h(b1+b2)/2
180(100-2)= 17640

19. Pythagorean triple beginning with 5
4(1+2)/2= 6
2^2/2= 2
5-12-13
b*h

20. Surface area of a sphere with radius 2
12-35-37
180(n-2)
20-21-29
4(pi)2^2= 16(pi)

21. Pythagorean triple beginning with 20
5-12-13
20-21-29
s^2(root3)/4
1/3*bh

22. Area of a square with a diagonal of 1
4(pi)3^2= 36(pi)
5-12-13
4(1+2)/2= 6
1^2/2= 1/2

23. Area of a trapezoid given bases 2 and 3 - height 5
5(2+3)/2= 15
s(root3)
20-21-29
x^2/2

24. Formula for the surface area of a sphere
180(n-2)
rhombus
s(root3)
4(pi)r^2

25. Area of a square with a diagonal of 3
b*h
s^2(root3)/4
3^2/2= 9/2
2^2(root3)/4= root3

26. Diagonal of a cube with side s
s(root3)
root3(root3)= 3
4^2/2= 8
h(b1+b2)/2

27. Area of a square with a diagonal of x:
(4/3)(pi)3^3= 36(pi)
2^2(root3)/4= root3
7-24-25
x^2/2

28. Diagonal of a cube with side 3
180(100-2)= 17640
3(root3)
(3*6)/2= 9
5-12-13

29. Surface area of a sphere with radius 3
4(pi)3^2= 36(pi)
(3*6)/2= 9
1^2/2= 1/2
12-35-37

30. Volume of a sphere
180(n-2)
s(root3)/2
4/3(pi)r^3
4^2/2= 8

31. Total degrees in 200 sided polygon
4/3(pi)r^3
180(200-2)= 35640
12-35-37
b*h

32. Area of a square with a diagonal of 2
(1*2)/2= 1
(d1*d2)/2
b*h
2^2/2= 2

33. Pythagorean triple beginning with 9
rhombus
9-40-41
2^2(root3)/4= root3
b*h

34. Area of a trapezoid - given bases - 1 and 2 - height 4
1/3*bh
rhombus
4(pi)r^2
4(1+2)/2= 6

35. Pythagorean triple beginning with 7
20-21-29
12-35-37
7-24-25
3^2/2= 9/2