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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. pythagorean theorem
180
25
C2=a2+b2
20

2. 6-8-?
More than 90 but less than 180
15
8
S^2*sqrt(3)/4

3. exterior angle
Extend one side of the triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 90
More than 90 but less than 180

4. area of triangle
.5B*h
A line that bisects (halves) an angle in a triangle
More than 180
Line drawn from any angle of a triangle to the midpoint of the opposite side

5. altitute/height
SAS SSS ASA SAA HL
26
Line segment from a vertex perpendicular to the base
13

6. 20-21-?
Opposite angles formed when two lines cross
Extend one side of the triangle
17
29

7. congruent angles
Equal
.5B*h
29
15

8. 11-60-?
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
Equal
3 unequal sides

9. equilateral triangle
61
17
26
All equal sides

10. angle bisector
90
A line that bisects (halves) an angle in a triangle
SAS SSS AAA
5

11. 15-20-?
25
S^2*sqrt(3)/4
Less than 90
Extend one side of the triangle

12. right angle
13
29
90
.5B*h

13. 9-40-?
180
41
At least 2 equal sides
Extend one side of the triangle

14. isosceles triangle
20
90
61
At least 2 equal sides

15. acute/obtuse triangle
25
Less than 90
Two angles totalling 90
Angles less than 90/between 90 and 180

16. 10-24-?
26
3 unequal sides
Angles less than 90/between 90 and 180
25

17. obtuse 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
More than 90 but less than 180
5
Equal

18. straight angle
180
S^2*sqrt(3)/4
61
15

19. 2 facts about triangles
61
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
More than 180
C2=a2+b2

20. similar triangles
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
More than 90 but less than 180
All equal sides

21. vertical angles
Line drawn from any angle of a triangle to the midpoint of the opposite side
180
Less than 90
Opposite angles formed when two lines cross

22. supplementary angles
25
Two angles totalling 180
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

23. scalene triangle
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
3 unequal sides
15

24. area of equilateral triangle
S^2*sqrt(3)/4
26
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
Less than 90

25. 8-15-?
3 unequal sides
25
Two angles totalling 180
17

26. 9-12-?
15
More than 90 but less than 180
S^2*sqrt(3)/4
Equal

27. 3-4-?
5
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
Line drawn from any angle of a triangle to the midpoint of the opposite side
More than 180

28. acute angle
20
SAS SSS ASA SAA HL
Line drawn from any angle of a triangle to the midpoint of the opposite side
Less than 90

29. complementary angles
8
5
C2=a2+b2
Two angles totalling 90

30. 7-24-?
26
5
25
180

31. congruent triangles
C2=a2+b2
Opposite angles formed when two lines cross
17
SAS SSS ASA SAA HL

32. 12-16-?
A line that bisects (halves) an angle in a triangle
61
8
20

33. Following is true about isosceles triangles
8
Equal
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

34. 5-12-?
13
Two angles totalling 180
SAS SSS AAA
20

35. 30-60-90 right triangle
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 180
Less than 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

36. median
All equal sides
25
Line drawn from any angle of a triangle to the midpoint of the opposite side
90

37. reflex angle
More than 180
Equal
Opposite angles formed when two lines cross
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