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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. area of triangle
.5B*h
61
3 unequal sides
26

2. right angle
.5B*h
17
90
Opposite angles formed when two lines cross

3. 12-16-?
SAS SSS ASA SAA HL
90
20
Two angles totalling 180

4. 20-21-?
41
More than 90 but less than 180
.5B*h
29

5. isosceles triangle
Two angles totalling 180
At least 2 equal sides
Less than 90
SAS SSS ASA SAA HL

6. exterior angle
Extend one side of the triangle
13
90
Two angles totalling 180

7. 10-24-?
8
26
More than 90 but less than 180
41

8. reflex angle
25
90
15
More than 180

9. altitute/height
Two angles totalling 180
Line segment from a vertex perpendicular to the base
90
25

10. Following is true about isosceles triangles
13
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
Opposite angles formed when two lines cross

11. 5-12-?
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
More than 180
13

12. supplementary angles
26
A line that bisects (halves) an angle in a triangle
Two angles totalling 180
C2=a2+b2

13. 30-60-90 right triangle
A line that bisects (halves) an angle in a triangle
Angles less than 90/between 90 and 180
17
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. congruent triangles
A line that bisects (halves) an angle in a triangle
More than 180
SAS SSS ASA SAA HL
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

15. 15-20-?
Extend one side of the triangle
25
More than 180
13

16. vertical angles
Line segment from a vertex perpendicular to the base
All equal sides
Opposite angles formed when two lines cross
5

17. congruent angles
Equal
17
25
29

18. straight angle
At least 2 equal sides
More than 180
26
180

19. 9-40-?
41
Extend one side of the triangle
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

20. area of equilateral triangle
S^2*sqrt(3)/4
41
More than 180
Opposite angles formed when two lines cross

21. 11-60-?
8
15
More than 180
61

22. complementary angles
Two angles totalling 90
17
5
25

23. angle bisector
.5B*h
A line that bisects (halves) an angle in a triangle
29
180

24. similar triangles
17
SAS SSS AAA
S^2*sqrt(3)/4
5

25. 7-24-?
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
Extend one side of the triangle
At least 2 equal sides

26. equilateral triangle
At least 2 equal sides
5
All equal sides
29

27. 2 facts about triangles
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Extend one side of the triangle
All equal sides
20

28. 9-12-?
Extend one side of the triangle
S^2*sqrt(3)/4
Angles less than 90/between 90 and 180
15

29. 3-4-?
Opposite angles formed when two lines cross
5
At least 2 equal sides
29

30. obtuse angle
More than 90 but less than 180
90
Line segment from a vertex perpendicular to the base
Two angles totalling 180

31. 6-8-?
8
15
More than 90 but less than 180
180

32. scalene triangle
3 unequal sides
Equal
Two angles totalling 180
5

33. acute angle
Extend one side of the triangle
3 unequal sides
S^2*sqrt(3)/4
Less than 90

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

35. pythagorean theorem
5
3 unequal sides
C2=a2+b2
180

36. acute/obtuse triangle
26
Angles less than 90/between 90 and 180
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

37. 8-15-?
17
SAS SSS AAA
SAS SSS ASA SAA HL
25