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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. 15-20-?
25
All equal sides
41
C2=a2+b2

2. 6-8-?
Equal
Two angles totalling 180
15
8

3. 5-12-?
8
At least 2 equal sides
.5B*h
13

4. acute angle
5
Less than 90
More than 180
3 unequal sides

5. scalene triangle
SAS SSS AAA
3 unequal sides
13
At least 2 equal sides

6. 30-60-90 right triangle
More 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
S^2*sqrt(3)/4
Line segment from a vertex perpendicular to the base

7. equilateral triangle
All equal sides
C2=a2+b2
More than 180
Two angles totalling 180

8. 10-24-?
180
15
At least 2 equal sides
26

9. pythagorean theorem
C2=a2+b2
Extend one side of the triangle
Line segment from a vertex perpendicular to the base
61

10. similar triangles
SAS SSS AAA
Equal
SAS SSS ASA SAA HL
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

11. median
8
A line that bisects (halves) an angle in a triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
25

12. 12-16-?
15
20
Line segment from a vertex perpendicular to the base
S^2*sqrt(3)/4

13. vertical angles
25
Opposite angles formed when two lines cross
25
13

14. isosceles triangle
At least 2 equal sides
All equal sides
90
Extend one side of the triangle

15. supplementary angles
Less than 90
13
Two angles totalling 180
SAS SSS AAA

16. area of triangle
.5B*h
3 unequal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 180

17. congruent angles
Equal
3 unequal sides
SAS SSS AAA
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

18. altitute/height
At least 2 equal sides
3 unequal sides
Line segment from a vertex perpendicular to the base
Line drawn from any angle of a triangle to the midpoint of the opposite side

19. 20-21-?
Opposite angles formed when two lines cross
8
29
SAS SSS ASA SAA HL

20. angle bisector
15
Opposite angles formed when two lines cross
A line that bisects (halves) an angle in a triangle
More than 180

21. straight angle
13
At least 2 equal sides
20
180

22. 7-24-?
25
Less than 90
Opposite angles formed when two lines cross
More than 180

23. right angle
5
More than 180
90
29

24. Following is true about isosceles 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
S^2*sqrt(3)/4
61
More than 90 but less than 180

25. 9-40-?
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
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
41

26. 3-4-?
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
17
C2=a2+b2
5

27. 2 facts about triangles
A line that bisects (halves) an angle in a 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
C2=a2+b2
Less than 90

28. 11-60-?
Extend one side of the triangle
61
20
90

29. 8-15-?
SAS SSS ASA SAA HL
17
41
180

30. obtuse angle
More than 90 but less than 180
Angles less than 90/between 90 and 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

31. 9-12-?
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
Extend one side of the triangle
Two angles totalling 180

32. area of equilateral triangle
25
26
S^2*sqrt(3)/4
180

33. congruent triangles
90
15
Two angles totalling 180
SAS SSS ASA SAA HL

34. exterior angle
Opposite angles formed when two lines cross
26
Extend one side of the triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side

35. complementary angles
Two angles totalling 90
29
.5B*h
15

36. acute/obtuse triangle
Extend one side of the triangle
Angles less than 90/between 90 and 180
25
More than 90 but less than 180

37. reflex angle
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
Less than 90
More than 180