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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. obtuse angle
SAS SSS AAA
180
Extend one side of the triangle
More than 90 but less than 180

2. supplementary angles
Two angles totalling 180
Extend one side of the triangle
Less than 90
3 unequal sides

3. vertical angles
S^2*sqrt(3)/4
5
At least 2 equal sides
Opposite angles formed when two lines cross

4. acute angle
Opposite angles formed when two lines cross
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
13

5. angle bisector
At least 2 equal sides
8
Line segment from a vertex perpendicular to the base
A line that bisects (halves) an angle in a triangle

6. 15-20-?
Two angles totalling 180
61
Angles less than 90/between 90 and 180
25

7. 9-12-?
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
25
26

8. area of triangle
.5B*h
13
At least 2 equal sides
15

9. 3-4-?
Equal
20
SAS SSS AAA
5

10. 30-60-90 right triangle
90
20
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
41

11. similar triangles
SAS SSS AAA
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
More than 90 but less than 180

12. exterior angle
SAS SSS AAA
25
Opposite angles formed when two lines cross
Extend one side of the triangle

13. 8-15-?
17
S^2*sqrt(3)/4
15
At least 2 equal sides

14. right angle
90
61
A line that bisects (halves) an angle in a triangle
S^2*sqrt(3)/4

15. 10-24-?
Line drawn from any angle of a triangle to the midpoint of the opposite side
90
26
SAS SSS ASA SAA HL

16. equilateral triangle
All equal sides
Two angles totalling 180
Equal
25

17. 12-16-?
20
Extend one side of the triangle
15
Line segment from a vertex perpendicular to the base

18. congruent angles
SAS SSS ASA SAA HL
Equal
20
29

19. complementary angles
8
A line that bisects (halves) an angle in a triangle
13
Two angles totalling 90

20. 11-60-?
25
17
61
All equal sides

21. 2 facts about 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
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
180

22. scalene triangle
Less than 90
3 unequal sides
17
5

23. altitute/height
At least 2 equal sides
Line segment from a vertex perpendicular to the base
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
25

24. 6-8-?
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
.5B*h
More than 90 but less than 180
8

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

26. straight angle
3 unequal sides
Opposite angles formed when two lines cross
180
Two angles totalling 90

27. acute/obtuse triangle
Angles less than 90/between 90 and 180
Opposite angles formed when two lines cross
S^2*sqrt(3)/4
Less than 90

28. pythagorean theorem
Extend one side of the triangle
C2=a2+b2
13
3 unequal sides

29. 9-40-?
More than 180
Two angles totalling 180
Line segment from a vertex perpendicular to the base
41

30. 7-24-?
More than 90 but less than 180
25
Opposite angles formed when two lines cross
29

31. congruent triangles
SAS SSS ASA SAA HL
Less than 90
.5B*h
3 unequal sides

32. area of equilateral triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
Less than 90
15
S^2*sqrt(3)/4

33. 20-21-?
41
13
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

34. reflex angle
More than 180
90
41
Equal

35. Following is true about isosceles triangles
Less than 90
More than 90 but less than 180
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
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

36. 5-12-?
Two angles totalling 90
13
29
Opposite angles formed when two lines cross

37. isosceles triangle
13
Extend one side of the triangle
More than 90 but less than 180
At least 2 equal sides