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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. 12-16-?
Less than 90
Line drawn from any angle of a triangle to the midpoint of the opposite side
13
20

2. right angle
SAS SSS AAA
Extend one side of the triangle
Less than 90
90

3. isosceles 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
29
26
At least 2 equal sides

4. 7-24-?
25
Less than 90
Angles less than 90/between 90 and 180
All equal sides

5. reflex angle
Two angles totalling 90
8
25
More than 180

6. 20-21-?
.5B*h
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
More than 180

7. 3-4-?
All equal sides
17
61
5

8. equilateral triangle
13
All equal sides
Line segment from a vertex perpendicular to the base
8

9. congruent angles
Equal
Line segment from a vertex perpendicular to the base
13
Extend one side of the triangle

10. 11-60-?
20
29
Line drawn from any angle of a triangle to the midpoint of the opposite side
61

11. acute/obtuse triangle
Angles less than 90/between 90 and 180
15
17
Opposite angles formed when two lines cross

12. altitute/height
Two angles totalling 90
17
.5B*h
Line segment from a vertex perpendicular to the base

13. angle bisector
A line that bisects (halves) an angle in a triangle
Line segment from a vertex perpendicular to the base
Extend one side of the triangle
.5B*h

14. 5-12-?
Two angles totalling 180
25
SAS SSS ASA SAA HL
13

15. 6-8-?
8
25
17
Angles less than 90/between 90 and 180

16. area of triangle
.5B*h
All equal sides
Less than 90
SAS SSS ASA SAA HL

17. obtuse angle
More than 90 but less than 180
61
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

18. scalene triangle
20
SAS SSS AAA
25
3 unequal sides

19. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
61
29
5

20. 10-24-?
At least 2 equal sides
Equal
C2=a2+b2
26

21. 8-15-?
61
25
17
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

22. 9-40-?
Less than 90
41
180
20

23. 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
SAS SSS ASA SAA HL
26
Equal

24. area of equilateral triangle
90
Two angles totalling 180
Line segment from a vertex perpendicular to the base
S^2*sqrt(3)/4

25. supplementary angles
13
15
Two angles totalling 180
Line drawn from any angle of a triangle to the midpoint of the opposite side

26. 30-60-90 right triangle
Two angles totalling 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
13
A line that bisects (halves) an angle in a triangle

27. 9-12-?
Extend one side of the 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
15
29

28. exterior angle
C2=a2+b2
41
Extend one side of the triangle
3 unequal sides

29. straight angle
180
25
15
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

30. acute angle
25
S^2*sqrt(3)/4
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

31. 2 facts about triangles
17
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Line segment from a vertex perpendicular to the base
Two angles totalling 180

32. vertical 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
90
Opposite angles formed when two lines cross
Two angles totalling 180

33. complementary angles
Two angles totalling 90
Two angles totalling 180
20
17

34. 15-20-?
All equal sides
25
13
Less than 90

35. Following is true about isosceles triangles
61
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
Two angles totalling 180
SAS SSS ASA SAA HL

36. pythagorean theorem
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
26
C2=a2+b2

37. similar triangles
SAS SSS AAA
Extend one side of the triangle
More than 180
25