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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. Surface area of a sphere with radius 3
3^2(root3)/4= 9(root3)/4
4(pi)3^2= 36(pi)
1/3*bh
180(100-2)= 17640

2. Area of a square with a diagonal of x:
180(200-2)= 35640
12-35-37
(3*6)/2= 9
x^2/2

3. Area of a trapezoid - given bases b - height h
4(1+2)/2= 6
h(b1+b2)/2
root3(root3)= 3
x^2/2

4. Area of an equilateral triangle with side 2
2^2(root3)/4= root3
b*h
x^2/2
3(root3)

5. Area of an equilateral triangle with side 3
1/3*bh
3^2(root3)/4= 9(root3)/4
x^2/2
rhombus

6. Pythagorean triple beginning with 12
rhombus
3^2/2= 9/2
7-24-25
12-35-37

7. Volume of a sphere
(3*6)/2= 9
7-24-25
4/3(pi)r^3
180(n-2)

8. Total degrees in n-sided polygon
(1*2)/2= 1
180(n-2)
3^2/2= 9/2
180(200-2)= 35640

9. Area of an equilateral triangle with side s
4(1+2)/2= 6
s^2(root3)/4
4(pi)2^2= 16(pi)
4(pi)3^2= 36(pi)

10. Area of a rhombus - given diagonals d
5-12-13
b*h
2^2/2= 2
(d1*d2)/2

11. Total degrees in 100 sided polygon
180(100-2)= 17640
3(root3)
2^2/2= 2
7-24-25

12. Pythagorean triple beginning with 7
7-24-25
5(2+3)/2= 15
180(n-2)
4(pi)r^2

13. Area of a square with a diagonal of 2
5-12-13
2^2/2= 2
(3*6)/2= 9
180(200-2)= 35640

14. Formula for the surface area of a sphere
3(root3)
2^2/2= 2
x^2/2
4(pi)r^2

15. Parallelogram with equal sides
180(100-2)= 17640
3^2(root3)/4= 9(root3)/4
5(2+3)/2= 15
rhombus

16. Area of a square with a diagonal of 3
12-35-37
4^2/2= 8
4(pi)2^2= 16(pi)
3^2/2= 9/2

17. Pythagorean triple beginning with 5
5-12-13
(d1*d2)/2
3(root3)
180(n-2)

18. Volume of a sphere given radius 3
(4/3)(pi)3^3= 36(pi)
b*h
x^2/2
root3(root3)= 3

19. Pythagorean triple beginning with 9
5(2+3)/2= 15
x^2/2
4(pi)2^2= 16(pi)
9-40-41

20. Diagonal of a cube with side 3
3(root3)
rhombus
1^2/2= 1/2
180(n-2)

21. Diagonal of a cube with side root3
root3(root3)= 3
4^2/2= 8
3^2/2= 9/2
2^2/2= 2

22. Surface area of a sphere with radius 2
180(100-2)= 17640
4(pi)2^2= 16(pi)
root3(root3)= 3
9-40-41

23. Pythagorean triple beginning with 20
8-15-17
20-21-29
(d1*d2)/2
1/3*bh

24. Volume of a cone and pyramid
b*h
3^2/2= 9/2
1/3*bh
h(b1+b2)/2

25. Height of equilateral triangle with side s
4(pi)r^2
s(root3)/2
7-24-25
(4/3)(pi)3^3= 36(pi)

26. Area of a trapezoid given bases 2 and 3 - height 5
root3(root3)= 3
3^2(root3)/4= 9(root3)/4
4^2/2= 8
5(2+3)/2= 15

27. Area of a rhombus - given diagonals - 3 and 6
s^2(root3)/4
3(root3)
12-35-37
(3*6)/2= 9

28. Total degrees in 200 sided polygon
4(1+2)/2= 6
3(root3)
4(pi)r^2
180(200-2)= 35640

29. Volume of a cylinder and prism
1^2/2= 1/2
7-24-25
4(1+2)/2= 6
b*h

30. Area of a square with a diagonal of 4
2^2(root3)/4= root3
20-21-29
x^2/2
4^2/2= 8

31. Area of a rhombus - given diagonals - 1 and 2
1^2/2= 1/2
h(b1+b2)/2
(1*2)/2= 1
180(100-2)= 17640

32. Pythagorean triple beginning with 8
rhombus
8-15-17
2^2(root3)/4= root3
4(1+2)/2= 6

33. Diagonal of a cube with side s
3(root3)
s(root3)/2
(3*6)/2= 9
s(root3)

34. Area of a trapezoid - given bases - 1 and 2 - height 4
b*h
4(1+2)/2= 6
root3(root3)= 3
3^2(root3)/4= 9(root3)/4

35. Area of a square with a diagonal of 1
1^2/2= 1/2
5(2+3)/2= 15
s(root3)
4(pi)2^2= 16(pi)