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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. 8-15-?
180
A line that bisects (halves) an angle in a triangle
Extend one side of the triangle
17

2. Following is true about isosceles triangles
Less than 90
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
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

3. 10-24-?
25
26
90
All equal sides

4. vertical angles
Extend one side of the triangle
Opposite angles formed when two lines cross
8
90

5. 11-60-?
61
180
8
At least 2 equal sides

6. 5-12-?
Opposite angles formed when two lines cross
13
Angles less than 90/between 90 and 180
Line drawn from any angle of a triangle to the midpoint of the opposite side

7. 15-20-?
13
Extend one side of the triangle
.5B*h
25

8. equilateral triangle
All equal sides
SAS SSS AAA
.5B*h
17

9. median
180
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
More than 180

10. angle bisector
8
61
A line that bisects (halves) an angle in a triangle
29

11. 3-4-?
At least 2 equal sides
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
SAS SSS ASA SAA HL

12. acute/obtuse triangle
SAS SSS ASA SAA HL
Extend one side of the triangle
S^2*sqrt(3)/4
Angles less than 90/between 90 and 180

13. 12-16-?
20
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
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

14. 9-40-?
Angles less than 90/between 90 and 180
All equal sides
41
8

15. scalene 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
3 unequal sides
90
25

16. obtuse angle
More than 90 but less than 180
S^2*sqrt(3)/4
A line that bisects (halves) an angle in a triangle
C2=a2+b2

17. congruent triangles
Two angles totalling 180
17
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

18. 20-21-?
25
29
SAS SSS AAA
Extend one side of the triangle

19. 2 facts about triangles
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle
Two angles totalling 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

20. congruent angles
Two angles totalling 180
Equal
41
More than 90 but less than 180

21. similar triangles
SAS SSS AAA
More than 90 but less than 180
S^2*sqrt(3)/4
Line segment from a vertex perpendicular to the base

22. right angle
90
All equal sides
26
20

23. pythagorean theorem
26
90
SAS SSS ASA SAA HL
C2=a2+b2

24. 30-60-90 right triangle
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
61
20

25. area of equilateral triangle
26
Line segment from a vertex perpendicular to the base
3 unequal sides
S^2*sqrt(3)/4

26. straight angle
3 unequal sides
180
Equal
Less than 90

27. exterior angle
S^2*sqrt(3)/4
29
20
Extend one side of the triangle

28. complementary angles
Equal
All equal sides
Two angles totalling 90
20

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

30. reflex 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
Opposite angles formed when two lines cross
More than 180
26

31. supplementary angles
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
Two angles totalling 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle

32. 7-24-?
5
25
A line that bisects (halves) an angle in a 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

33. 6-8-?
8
3 unequal sides
More than 90 but less than 180
20

34. area of triangle
.5B*h
Two angles totalling 180
C2=a2+b2
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

35. acute angle
SAS SSS AAA
Less than 90
5
.5B*h

36. isosceles triangle
8
S^2*sqrt(3)/4
At least 2 equal sides
Line segment from a vertex perpendicular to the base

37. 9-12-?
Two angles totalling 180
25
15
S^2*sqrt(3)/4