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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. altitute/height
Line drawn from any angle of a triangle to the midpoint of the opposite side
3 unequal sides
Line segment from a vertex perpendicular to the base
26

2. 12-16-?
20
Angles less than 90/between 90 and 180
3 unequal sides
More than 180

3. 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
29
41

4. Following is true about isosceles triangles
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
All equal sides
More than 180

5. obtuse angle
All equal sides
90
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

6. congruent triangles
Two angles totalling 180
15
SAS SSS ASA SAA HL
Line segment from a vertex perpendicular to the base

7. 9-40-?
41
All 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
Angles less than 90/between 90 and 180

8. angle bisector
SAS SSS ASA SAA HL
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
A line that bisects (halves) an angle in a triangle
Two angles totalling 90

9. vertical angles
More than 180
8
5
Opposite angles formed when two lines cross

10. scalene triangle
.5B*h
13
Line drawn from any angle of a triangle to the midpoint of the opposite side
3 unequal sides

11. 6-8-?
61
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
Less than 90

12. supplementary angles
Equal
13
Two angles totalling 180
25

13. 9-12-?
3 unequal sides
8
15
17

14. reflex angle
61
A line that bisects (halves) an angle in a triangle
More than 180
5

15. similar triangles
Two angles totalling 90
SAS SSS AAA
17
Opposite angles formed when two lines cross

16. area of equilateral triangle
More than 90 but less than 180
Less than 90
All equal sides
S^2*sqrt(3)/4

17. acute angle
29
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
Less than 90

18. 10-24-?
More than 90 but less than 180
More than 180
180
26

19. right angle
17
Less than 90
90
25

20. 2 facts about triangles
Equal
26
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

21. complementary angles
Two angles totalling 180
Two angles totalling 90
20
All equal sides

22. equilateral triangle
SAS SSS AAA
At least 2 equal sides
Angles less than 90/between 90 and 180
All equal sides

23. congruent angles
Equal
More than 90 but less than 180
180
Angles less than 90/between 90 and 180

24. 7-24-?
Line segment from a vertex perpendicular to the base
A line that bisects (halves) an angle in a triangle
5
25

25. exterior angle
More than 90 but less than 180
Two angles totalling 180
Extend one side of the triangle
Line segment from a vertex perpendicular to the base

26. 8-15-?
20
17
3 unequal sides
More than 180

27. area of triangle
Opposite angles formed when two lines cross
25
13
.5B*h

28. 11-60-?
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
41
3 unequal sides

29. median
More than 90 but less than 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
26
Two angles totalling 90

30. 3-4-?
Line drawn from any angle of a triangle to the midpoint of the opposite side
90
8
5

31. 15-20-?
90
15
25
180

32. acute/obtuse triangle
Angles less than 90/between 90 and 180
Extend one side of the triangle
Equal
29

33. pythagorean theorem
C2=a2+b2
5
More than 180
Line segment from a vertex perpendicular to the base

34. isosceles triangle
Less than 90
More than 180
At least 2 equal sides
13

35. straight angle
180
.5B*h
C2=a2+b2
8

36. 20-21-?
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
13
5

37. 5-12-?
20
SAS SSS ASA SAA HL
Equal
13