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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. reflex angle
More than 180
SAS SSS ASA SAA HL
More than 90 but less than 180
Extend one side of the triangle

2. complementary angles
Two angles totalling 90
25
8
3 unequal sides

3. 9-40-?
C2=a2+b2
Line drawn from any angle of a triangle to the midpoint of the opposite side
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
41

4. median
8
More than 90 but less than 180
All equal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side

5. 10-24-?
26
SAS SSS AAA
Line segment from a vertex perpendicular to the base
More than 180

6. obtuse angle
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
More than 90 but less than 180
90
S^2*sqrt(3)/4

7. 6-8-?
Opposite angles formed when two lines cross
More than 90 but less than 180
8
90

8. area of triangle
.5B*h
All equal sides
25
Two angles totalling 90

9. angle bisector
A line that bisects (halves) an angle in a triangle
90
Angles less than 90/between 90 and 180
180

10. scalene triangle
3 unequal sides
.5B*h
13
Angles less than 90/between 90 and 180

11. supplementary angles
More than 180
Two angles totalling 180
At least 2 equal sides
S^2*sqrt(3)/4

12. 9-12-?
Extend one side of the triangle
15
29
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. pythagorean theorem
C2=a2+b2
90
At least 2 equal sides
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

14. equilateral triangle
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
SAS SSS AAA
5
All equal sides

15. 15-20-?
All equal sides
SAS SSS ASA SAA HL
25
20

16. 3-4-?
13
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
5
S^2*sqrt(3)/4

17. Following is true about isosceles triangles
At least 2 equal sides
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
25

18. 20-21-?
29
25
Two angles totalling 180
A line that bisects (halves) an angle in a triangle

19. 12-16-?
20
Two angles totalling 90
Two angles totalling 180
90

20. 7-24-?
25
17
Two angles totalling 180
41

21. 11-60-?
Equal
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
61
41

22. acute/obtuse triangle
13
Less than 90
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

23. right angle
25
17
90
8

24. similar triangles
180
More than 180
SAS SSS AAA
Equal

25. acute 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
Less than 90
Two angles totalling 90
Line drawn from any angle of a triangle to the midpoint of the opposite side

26. isosceles triangle
At least 2 equal sides
180
More than 90 but less than 180
Less than 90

27. vertical angles
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
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Opposite angles formed when two lines cross
15

28. exterior 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
C2=a2+b2
SAS SSS AAA
Extend one side of the triangle

29. 8-15-?
180
17
3 unequal sides
All equal sides

30. area of equilateral triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
S^2*sqrt(3)/4
41
.5B*h

31. altitute/height
3 unequal sides
41
.5B*h
Line segment from a vertex perpendicular to the base

32. congruent triangles
SAS SSS ASA SAA HL
At least 2 equal sides
180
C2=a2+b2

33. straight angle
180
25
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
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

34. 5-12-?
13
180
41
Line drawn from any angle of a triangle to the midpoint of the opposite side

35. 30-60-90 right triangle
More than 90 but less than 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
Two angles totalling 180
At least 2 equal sides

36. 2 facts about triangles
A line that bisects (halves) an angle in a triangle
180
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
8

37. congruent angles
Opposite angles formed when two lines cross
Equal
13
25