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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. 9-40-?
S^2*sqrt(3)/4
41
Equal
Two angles totalling 180

2. right angle
.5B*h
90
13
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

3. 5-12-?
Line segment from a vertex perpendicular to the base
Angles less than 90/between 90 and 180
13
61

4. reflex angle
More than 180
S^2*sqrt(3)/4
Two angles totalling 180
15

5. 20-21-?
Equal
29
Less than 90
41

6. congruent triangles
29
SAS SSS ASA SAA HL
17
Less than 90

7. supplementary angles
Two angles totalling 180
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
15

8. altitute/height
Equal
Line segment from a vertex perpendicular to the base
8
61

9. 7-24-?
20
25
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
Line segment from a vertex perpendicular to the base

10. congruent angles
8
25
Equal
Extend one side of the triangle

11. Following is true about isosceles triangles
8
180
61
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

12. scalene triangle
3 unequal sides
5
S^2*sqrt(3)/4
180

13. acute angle
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
Less than 90
S^2*sqrt(3)/4

14. 12-16-?
SAS SSS ASA SAA HL
29
Opposite angles formed when two lines cross
20

15. 9-12-?
S^2*sqrt(3)/4
15
41
More than 180

16. 11-60-?
20
A line that bisects (halves) an angle in a triangle
61
13

17. similar triangles
A line that bisects (halves) an angle in a triangle
Less than 90
SAS SSS AAA
More than 90 but less than 180

18. complementary angles
Two angles totalling 90
SAS SSS AAA
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

19. 2 facts about triangles
90
29
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
61

20. median
Two angles totalling 90
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

21. 3-4-?
29
Less than 90
5
13

22. exterior angle
Opposite angles formed when two lines cross
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
Two angles totalling 90

23. 6-8-?
8
90
Opposite angles formed when two lines cross
More than 180

24. area of triangle
C2=a2+b2
8
41
.5B*h

25. 8-15-?
Extend one side of the triangle
Two angles totalling 90
17
More than 180

26. 30-60-90 right triangle
S^2*sqrt(3)/4
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

27. straight angle
180
20
3 unequal sides
SAS SSS ASA SAA HL

28. 10-24-?
Equal
90
26
Two angles totalling 180

29. vertical angles
C2=a2+b2
3 unequal sides
Opposite angles formed when two lines cross
Angles less than 90/between 90 and 180

30. pythagorean theorem
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
C2=a2+b2

31. isosceles triangle
25
20
At least 2 equal sides
25

32. 15-20-?
8
25
Line segment from a vertex perpendicular to the base
C2=a2+b2

33. acute/obtuse triangle
Two angles totalling 180
Angles less than 90/between 90 and 180
13
3 unequal sides

34. obtuse angle
Line segment from a vertex perpendicular to the base
A line that bisects (halves) an angle in a triangle
More than 90 but less than 180
3 unequal sides

35. angle bisector
15
More than 90 but less than 180
Two angles totalling 90
A line that bisects (halves) an angle in a triangle

36. area of equilateral triangle
S^2*sqrt(3)/4
SAS SSS AAA
26
15

37. equilateral triangle
Extend one side of the triangle
8
All equal sides
SAS SSS AAA