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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. Total degrees in 100 sided polygon
180(n-2)
b*h
(1*2)/2= 1
180(100-2)= 17640

2. Area of an equilateral triangle with side 2
2^2(root3)/4= root3
180(200-2)= 35640
1/3*bh
4(1+2)/2= 6

3. Area of a trapezoid given bases 2 and 3 - height 5
(1*2)/2= 1
4(1+2)/2= 6
5(2+3)/2= 15
s(root3)

4. Surface area of a sphere with radius 2
s(root3)/2
4(pi)2^2= 16(pi)
(1*2)/2= 1
180(n-2)

5. Area of a rhombus - given diagonals - 1 and 2
(1*2)/2= 1
h(b1+b2)/2
5(2+3)/2= 15
2^2/2= 2

6. Diagonal of a cube with side s
b*h
(1*2)/2= 1
s(root3)
rhombus

7. Area of a square with a diagonal of 1
(d1*d2)/2
1^2/2= 1/2
180(n-2)
20-21-29

8. Height of equilateral triangle with side s
s(root3)/2
4(pi)2^2= 16(pi)
3(root3)
root3(root3)= 3

9. Pythagorean triple beginning with 7
7-24-25
(3*6)/2= 9
3^2/2= 9/2
(1*2)/2= 1

10. Volume of a sphere
4/3(pi)r^3
5(2+3)/2= 15
2^2/2= 2
rhombus

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

12. Diagonal of a cube with side 3
3(root3)
4(pi)r^2
5-12-13
(d1*d2)/2

13. Area of a rhombus - given diagonals - 3 and 6
(3*6)/2= 9
s(root3)/2
4(pi)2^2= 16(pi)
s(root3)

14. Total degrees in n-sided polygon
180(n-2)
s^2(root3)/4
20-21-29
180(100-2)= 17640

15. Volume of a sphere given radius 3
(d1*d2)/2
s^2(root3)/4
2^2(root3)/4= root3
(4/3)(pi)3^3= 36(pi)

16. Area of a square with a diagonal of x:
1/3*bh
5-12-13
5(2+3)/2= 15
x^2/2

17. Area of a square with a diagonal of 4
4^2/2= 8
9-40-41
8-15-17
5(2+3)/2= 15

18. Pythagorean triple beginning with 5
1/3*bh
4/3(pi)r^3
5-12-13
4^2/2= 8

19. Pythagorean triple beginning with 9
h(b1+b2)/2
(3*6)/2= 9
9-40-41
s(root3)/2

20. Formula for the surface area of a sphere
8-15-17
4(pi)r^2
root3(root3)= 3
4^2/2= 8

21. Area of a trapezoid - given bases b - height h
(4/3)(pi)3^3= 36(pi)
7-24-25
x^2/2
h(b1+b2)/2

22. Area of a trapezoid - given bases - 1 and 2 - height 4
h(b1+b2)/2
4(pi)r^2
12-35-37
4(1+2)/2= 6

23. Pythagorean triple beginning with 8
rhombus
3^2(root3)/4= 9(root3)/4
s(root3)
8-15-17

24. Area of an equilateral triangle with side 3
3^2(root3)/4= 9(root3)/4
root3(root3)= 3
5-12-13
9-40-41

25. Diagonal of a cube with side root3
4(pi)2^2= 16(pi)
root3(root3)= 3
12-35-37
(4/3)(pi)3^3= 36(pi)

26. Area of a rhombus - given diagonals d
2^2(root3)/4= root3
20-21-29
4(1+2)/2= 6
(d1*d2)/2

27. Area of an equilateral triangle with side s
5(2+3)/2= 15
s^2(root3)/4
4(pi)2^2= 16(pi)
4/3(pi)r^3

28. Volume of a cone and pyramid
3^2(root3)/4= 9(root3)/4
1/3*bh
1^2/2= 1/2
(3*6)/2= 9

29. Parallelogram with equal sides
rhombus
(3*6)/2= 9
9-40-41
1^2/2= 1/2

30. Volume of a cylinder and prism
b*h
s(root3)
h(b1+b2)/2
4(pi)3^2= 36(pi)

31. Area of a square with a diagonal of 2
2^2/2= 2
180(200-2)= 35640
(d1*d2)/2
1^2/2= 1/2

32. Pythagorean triple beginning with 12
b*h
180(n-2)
4/3(pi)r^3
12-35-37

33. Area of a square with a diagonal of 3
s(root3)/2
2^2(root3)/4= root3
8-15-17
3^2/2= 9/2

34. Pythagorean triple beginning with 20
12-35-37
180(200-2)= 35640
4(pi)3^2= 36(pi)
20-21-29

35. Surface area of a sphere with radius 3
3^2(root3)/4= 9(root3)/4
b*h
4(1+2)/2= 6
4(pi)3^2= 36(pi)