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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.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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
(1*2)/2= 1
1^2/2= 1/2
s(root3)
2^2/2= 2

2. Height of equilateral triangle with side s
h(b1+b2)/2
s^2(root3)/4
rhombus
s(root3)/2

3. Diagonal of a cube with side 3
20-21-29
4(1+2)/2= 6
3(root3)
s^2(root3)/4

4. Area of a rhombus - given diagonals d
(4/3)(pi)3^3= 36(pi)
(d1*d2)/2
4^2/2= 8
8-15-17

5. Area of an equilateral triangle with side 2
2^2(root3)/4= root3
5-12-13
5(2+3)/2= 15
3^2/2= 9/2

6. Pythagorean triple beginning with 20
4(pi)2^2= 16(pi)
4(pi)3^2= 36(pi)
20-21-29
4(pi)r^2

7. Area of a trapezoid given bases 2 and 3 - height 5
8-15-17
5(2+3)/2= 15
3^2/2= 9/2
(3*6)/2= 9

8. Volume of a sphere
4(pi)2^2= 16(pi)
4/3(pi)r^3
root3(root3)= 3
x^2/2

9. Pythagorean triple beginning with 9
2^2(root3)/4= root3
9-40-41
(4/3)(pi)3^3= 36(pi)
4^2/2= 8

10. Area of a trapezoid - given bases - 1 and 2 - height 4
b*h
rhombus
4(1+2)/2= 6
s(root3)/2

11. Volume of a cone and pyramid
180(n-2)
12-35-37
s(root3)
1/3*bh

12. Total degrees in n-sided polygon
(3*6)/2= 9
180(n-2)
3(root3)
4(pi)r^2

13. Area of a trapezoid - given bases b - height h
5-12-13
root3(root3)= 3
h(b1+b2)/2
4(pi)3^2= 36(pi)

14. Volume of a sphere given radius 3
4/3(pi)r^3
(4/3)(pi)3^3= 36(pi)
1/3*bh
7-24-25

15. Area of a rhombus - given diagonals - 1 and 2
1/3*bh
9-40-41
(1*2)/2= 1
2^2/2= 2

16. Volume of a cylinder and prism
5-12-13
9-40-41
x^2/2
b*h

17. Area of an equilateral triangle with side s
s^2(root3)/4
180(200-2)= 35640
(4/3)(pi)3^3= 36(pi)
rhombus

18. Area of a square with a diagonal of x:
x^2/2
4(pi)r^2
4^2/2= 8
4(pi)3^2= 36(pi)

19. Diagonal of a cube with side root3
root3(root3)= 3
2^2(root3)/4= root3
(d1*d2)/2
s(root3)

20. Parallelogram with equal sides
180(n-2)
rhombus
2^2(root3)/4= root3
h(b1+b2)/2

21. Area of a rhombus - given diagonals - 3 and 6
root3(root3)= 3
(3*6)/2= 9
5-12-13
3^2(root3)/4= 9(root3)/4

22. Formula for the surface area of a sphere
180(100-2)= 17640
4/3(pi)r^3
h(b1+b2)/2
4(pi)r^2

23. Total degrees in 200 sided polygon
180(200-2)= 35640
1/3*bh
s(root3)/2
(1*2)/2= 1

24. Surface area of a sphere with radius 3
4(pi)3^2= 36(pi)
3^2(root3)/4= 9(root3)/4
4^2/2= 8
4(pi)2^2= 16(pi)

25. Surface area of a sphere with radius 2
s^2(root3)/4
root3(root3)= 3
4(pi)2^2= 16(pi)
4/3(pi)r^3

26. Area of a square with a diagonal of 3
x^2/2
5-12-13
4(pi)r^2
3^2/2= 9/2

27. Area of a square with a diagonal of 2
2^2/2= 2
1^2/2= 1/2
180(n-2)
9-40-41

28. Pythagorean triple beginning with 8
4^2/2= 8
180(n-2)
7-24-25
8-15-17

29. Area of an equilateral triangle with side 3
(3*6)/2= 9
20-21-29
180(200-2)= 35640
3^2(root3)/4= 9(root3)/4

30. Pythagorean triple beginning with 12
9-40-41
(d1*d2)/2
20-21-29
12-35-37

31. Area of a square with a diagonal of 4
(3*6)/2= 9
12-35-37
4^2/2= 8
180(100-2)= 17640

32. Area of a square with a diagonal of 1
1^2/2= 1/2
5(2+3)/2= 15
4^2/2= 8
1/3*bh

33. Pythagorean triple beginning with 7
(1*2)/2= 1
5-12-13
7-24-25
4(pi)r^2

34. Pythagorean triple beginning with 5
9-40-41
12-35-37
5-12-13
4^2/2= 8

35. Total degrees in 100 sided polygon
x^2/2
180(100-2)= 17640
5-12-13
root3(root3)= 3