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GRE Math: Angles And Triangles

Instructions:

Answer 37 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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. 7-24-?
Equal
90
29
25

2. 11-60-?
Equal
Line segment from a vertex perpendicular to the base
Get shorter leg first - shorter leg is half hyp - to find short leg given hyp - div by 2 - to find hyp given short leg - *2 - find short leg given hyp - div by sqrt3 - find long leg given short leg - *sqrt3
61

3. obtuse angle
C2=a2+b2
Two angles totalling 180
180
More than 90 but less than 180

4. acute angle
3 unequal sides
Less than 90
Opposite angles formed when two lines cross
S^2*sqrt(3)/4

5. 8-15-?
SAS SSS AAA
Equal
17
More than 180

6. 6-8-?
8
Two angles totalling 90
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Two angles totalling 180

7. acute/obtuse triangle
29
Angles less than 90/between 90 and 180
S^2*sqrt(3)/4
Line drawn from any angle of a triangle to the midpoint of the opposite side

8. isosceles triangle
15
At least 2 equal sides
8
25

9. similar triangles
Line segment from a vertex perpendicular to the base
Extend one side of the triangle
SAS SSS AAA
At least 2 equal sides

10. right angle
90
S^2*sqrt(3)/4
41
All equal sides

11. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
S^2*sqrt(3)/4
8
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

12. supplementary angles
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Two angles totalling 180
The base may be equal - greater or less than any other side - the legs are equal - angle across base is the vertex angle (+><) - base angles are equal
C2=a2+b2

13. 30-60-90 right triangle
Angles less than 90/between 90 and 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
Get shorter leg first - shorter leg is half hyp - to find short leg given hyp - div by 2 - to find hyp given short leg - *2 - find short leg given hyp - div by sqrt3 - find long leg given short leg - *sqrt3

14. exterior angle
The base may be equal - greater or less than any other side - the legs are equal - angle across base is the vertex angle (+><) - base angles are equal
8
Extend one side of the triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side

15. 15-20-?
25
3 unequal sides
Two angles totalling 180
S^2*sqrt(3)/4

16. 5-12-?
13
S^2*sqrt(3)/4
More than 90 but less than 180
SAS SSS AAA

17. Following is true about isosceles triangles
17
The base may be equal - greater or less than any other side - the legs are equal - angle across base is the vertex angle (+><) - base angles are equal
Extend one side of the triangle
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

18. altitute/height
Line segment from a vertex perpendicular to the base
Opposite angles formed when two lines cross
Two angles totalling 90
More than 90 but less than 180

19. 12-16-?
61
26
At least 2 equal sides
20

20. straight angle
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
180
29
.5B*h

21. 2 facts about triangles
5
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
.5B*h
All equal sides

22. reflex angle
The base may be equal - greater or less than any other side - the legs are equal - angle across base is the vertex angle (+><) - base angles are equal
More than 180
At least 2 equal sides
Equal

23. equilateral triangle
SAS SSS ASA SAA HL
Two angles totalling 90
All equal sides
Two angles totalling 180

24. area of triangle
S^2*sqrt(3)/4
15
25
.5B*h

25. 3-4-?
5
.5B*h
SAS SSS ASA SAA HL
At least 2 equal sides

26. angle bisector
Extend one side of the triangle
Two angles totalling 180
A line that bisects (halves) an angle in a triangle
Line segment from a vertex perpendicular to the base

27. 9-40-?
Line segment from a vertex perpendicular to the base
41
20
All equal sides

28. congruent triangles
Get shorter leg first - shorter leg is half hyp - to find short leg given hyp - div by 2 - to find hyp given short leg - *2 - find short leg given hyp - div by sqrt3 - find long leg given short leg - *sqrt3
13
SAS SSS ASA SAA HL
S^2*sqrt(3)/4

29. pythagorean theorem
SAS SSS ASA SAA HL
C2=a2+b2
25
13

30. 20-21-?
.5B*h
41
More than 180
29

31. congruent angles
Equal
90
20
Line segment from a vertex perpendicular to the base

32. 9-12-?
41
More than 180
3 unequal sides
15

33. area of equilateral triangle
S^2*sqrt(3)/4
Angles less than 90/between 90 and 180
Get shorter leg first - shorter leg is half hyp - to find short leg given hyp - div by 2 - to find hyp given short leg - *2 - find short leg given hyp - div by sqrt3 - find long leg given short leg - *sqrt3
25

34. scalene triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
13
3 unequal sides
Extend one side of the triangle

35. 10-24-?
3 unequal sides
20
26
The base may be equal - greater or less than any other side - the legs are equal - angle across base is the vertex angle (+><) - base angles are equal

36. vertical angles
SAS SSS AAA
A line that bisects (halves) an angle in a triangle
Opposite angles formed when two lines cross
20

37. complementary angles
61
S^2*sqrt(3)/4
SAS SSS ASA SAA HL
Two angles totalling 90