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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. 20-21-?
8
41
29
Two angles totalling 90

2. 8-15-?
20
17
Two angles totalling 90
Angles less than 90/between 90 and 180

3. complementary angles
25
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 90
3 unequal sides

4. 12-16-?
A line that bisects (halves) an angle in a triangle
20
At least 2 equal sides
Opposite angles formed when two lines cross

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

6. angle bisector
3 unequal sides
A line that bisects (halves) an angle in a triangle
25
13

7. altitute/height
More than 180
S^2*sqrt(3)/4
Line segment from a vertex perpendicular to the base
41

8. 9-12-?
61
13
Less than 90
15

9. 9-40-?
180
25
Line segment from a vertex perpendicular to the base
41

10. similar triangles
At least 2 equal sides
More than 90 but less than 180
SAS SSS AAA
25

11. congruent angles
Equal
29
Extend one side of the triangle
Angles less than 90/between 90 and 180

12. supplementary angles
180
Two angles totalling 180
29
All equal sides

13. 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
At least 2 equal sides
SAS SSS AAA

14. Following is true about isosceles triangles
25
61
S^2*sqrt(3)/4
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

15. area of equilateral triangle
29
All equal sides
S^2*sqrt(3)/4
Line drawn from any angle of a triangle to the midpoint of the opposite side

16. scalene triangle
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
3 unequal sides
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

17. straight angle
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
180
SAS SSS AAA

18. equilateral 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
41
All equal sides
15

19. isosceles triangle
At least 2 equal sides
41
26
17

20. 11-60-?
180
61
20
Equal

21. median
SAS SSS AAA
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
17

22. acute/obtuse triangle
At least 2 equal sides
Extend one side of the triangle
13
Angles less than 90/between 90 and 180

23. pythagorean theorem
At least 2 equal sides
90
.5B*h
C2=a2+b2

24. 7-24-?
25
More 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
Line drawn from any angle of a triangle to the midpoint of the opposite side

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

26. congruent triangles
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
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

27. 6-8-?
Two angles totalling 180
SAS SSS ASA SAA HL
61
8

28. obtuse angle
Line segment from a vertex perpendicular to the base
Less than 90
More than 90 but less than 180
SAS SSS ASA SAA HL

29. exterior angle
17
3 unequal sides
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
Extend one side of the triangle

30. 15-20-?
5
15
Extend one side of the triangle
25

31. 30-60-90 right triangle
More than 180
SAS SSS AAA
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

32. 5-12-?
13
3 unequal sides
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

33. right angle
At least 2 equal sides
20
Less than 90
90

34. acute angle
Extend one side of the triangle
Less than 90
25
Two angles totalling 90

35. 3-4-?
3 unequal sides
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
S^2*sqrt(3)/4
5

36. 10-24-?
Two angles totalling 90
26
A line that bisects (halves) an angle in a triangle
More than 90 but less than 180

37. reflex angle
More than 90 but less than 180
.5B*h
90
More than 180