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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. Diagonal of a cube with side s
s(root3)
9-40-41
180(200-2)= 35640
3(root3)

2. Area of a trapezoid given bases 2 and 3 - height 5
(1*2)/2= 1
5(2+3)/2= 15
180(n-2)
7-24-25

3. Pythagorean triple beginning with 5
5-12-13
1/3*bh
4(pi)r^2
4(1+2)/2= 6

4. Area of a rhombus - given diagonals - 3 and 6
20-21-29
s^2(root3)/4
180(200-2)= 35640
(3*6)/2= 9

5. Pythagorean triple beginning with 12
1/3*bh
12-35-37
180(100-2)= 17640
3(root3)

6. Diagonal of a cube with side root3
x^2/2
5(2+3)/2= 15
1^2/2= 1/2
root3(root3)= 3

7. Pythagorean triple beginning with 20
3^2/2= 9/2
root3(root3)= 3
20-21-29
4(pi)3^2= 36(pi)

8. Area of a square with a diagonal of 2
2^2/2= 2
4(1+2)/2= 6
root3(root3)= 3
x^2/2

9. Surface area of a sphere with radius 3
180(n-2)
4(1+2)/2= 6
4(pi)3^2= 36(pi)
180(100-2)= 17640

10. Total degrees in n-sided polygon
(d1*d2)/2
s^2(root3)/4
180(n-2)
4(pi)r^2

11. Area of a square with a diagonal of x:
h(b1+b2)/2
x^2/2
8-15-17
3^2/2= 9/2

12. Pythagorean triple beginning with 9
h(b1+b2)/2
2^2/2= 2
9-40-41
7-24-25

13. Volume of a cone and pyramid
180(100-2)= 17640
b*h
8-15-17
1/3*bh

14. Total degrees in 200 sided polygon
4(pi)r^2
2^2/2= 2
3^2/2= 9/2
180(200-2)= 35640

15. Area of a rhombus - given diagonals d
7-24-25
4(pi)3^2= 36(pi)
(d1*d2)/2
20-21-29

16. Area of a trapezoid - given bases b - height h
12-35-37
root3(root3)= 3
h(b1+b2)/2
4(1+2)/2= 6

17. Pythagorean triple beginning with 8
180(n-2)
8-15-17
b*h
3^2/2= 9/2

18. Parallelogram with equal sides
5(2+3)/2= 15
(4/3)(pi)3^3= 36(pi)
b*h
rhombus

19. Area of a square with a diagonal of 3
4(pi)2^2= 16(pi)
root3(root3)= 3
3^2/2= 9/2
s(root3)/2

20. Area of an equilateral triangle with side s
(4/3)(pi)3^3= 36(pi)
3^2(root3)/4= 9(root3)/4
s^2(root3)/4
7-24-25

21. Diagonal of a cube with side 3
5(2+3)/2= 15
3^2/2= 9/2
180(n-2)
3(root3)

22. Volume of a sphere
180(200-2)= 35640
x^2/2
4/3(pi)r^3
20-21-29

23. Area of an equilateral triangle with side 2
9-40-41
2^2(root3)/4= root3
7-24-25
(d1*d2)/2

24. Area of a rhombus - given diagonals - 1 and 2
(1*2)/2= 1
rhombus
180(n-2)
5(2+3)/2= 15

25. Volume of a cylinder and prism
2^2(root3)/4= root3
b*h
4^2/2= 8
4(pi)3^2= 36(pi)

26. Area of a square with a diagonal of 1
1^2/2= 1/2
4(pi)r^2
rhombus
180(200-2)= 35640

27. Surface area of a sphere with radius 2
(1*2)/2= 1
4(pi)2^2= 16(pi)
1/3*bh
b*h

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

29. Area of a trapezoid - given bases - 1 and 2 - height 4
s(root3)
8-15-17
180(n-2)
4(1+2)/2= 6

30. Pythagorean triple beginning with 7
180(100-2)= 17640
2^2(root3)/4= root3
7-24-25
4(pi)3^2= 36(pi)

31. Formula for the surface area of a sphere
5-12-13
1^2/2= 1/2
4(pi)r^2
(1*2)/2= 1

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

33. Total degrees in 100 sided polygon
9-40-41
2^2(root3)/4= root3
(3*6)/2= 9
180(100-2)= 17640

34. Area of an equilateral triangle with side 3
4(pi)2^2= 16(pi)
5-12-13
4^2/2= 8
3^2(root3)/4= 9(root3)/4

35. Area of a square with a diagonal of 4
root3(root3)= 3
4^2/2= 8
x^2/2
(d1*d2)/2