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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. 11-60-?
A line that bisects (halves) an angle in a triangle
61
90
S^2*sqrt(3)/4

2. 8-15-?
Opposite angles formed when two lines cross
17
Extend one side of the triangle
61

3. 2 facts about triangles
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
More than 90 but less than 180
20

4. equilateral triangle
All equal sides
Less than 90
8
Line drawn from any angle of a triangle to the midpoint of the opposite side

5. 15-20-?
S^2*sqrt(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
A line that bisects (halves) an angle in a triangle
25

6. area of equilateral triangle
13
61
S^2*sqrt(3)/4
15

7. 9-12-?
5
13
C2=a2+b2
15

8. pythagorean theorem
8
Angles less than 90/between 90 and 180
C2=a2+b2
90

9. 9-40-?
26
Angles less than 90/between 90 and 180
41
S^2*sqrt(3)/4

10. congruent triangles
90
SAS SSS ASA SAA HL
17
Angles less than 90/between 90 and 180

11. scalene triangle
90
3 unequal sides
SAS SSS ASA SAA HL
SAS SSS AAA

12. area of triangle
.5B*h
41
61
More than 180

13. 12-16-?
20
13
Two angles totalling 90
3 unequal sides

14. right angle
29
15
Two angles totalling 90
90

15. angle bisector
SAS SSS ASA SAA HL
SAS SSS AAA
29
A line that bisects (halves) an angle in a triangle

16. obtuse angle
Less than 90
Extend one side of the triangle
More than 90 but less than 180
Two angles totalling 180

17. supplementary angles
5
.5B*h
S^2*sqrt(3)/4
Two angles totalling 180

18. acute/obtuse triangle
Line segment from a vertex perpendicular to the base
At least 2 equal sides
90
Angles less than 90/between 90 and 180

19. 20-21-?
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
29
41
Less than 90

20. exterior angle
25
Extend one side of the triangle
25
3 unequal sides

21. 30-60-90 right triangle
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
15
17

22. 10-24-?
8
Line drawn from any angle of a triangle to the midpoint of the opposite side
26
13

23. 3-4-?
At least 2 equal sides
3 unequal sides
5
A line that bisects (halves) an angle in a triangle

24. isosceles triangle
.5B*h
At least 2 equal sides
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

25. altitute/height
25
29
Line segment from a vertex perpendicular to the base
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

26. congruent angles
Opposite angles formed when two lines cross
29
Extend one side of the triangle
Equal

27. acute angle
25
Less than 90
More than 90 but less than 180
Equal

28. vertical angles
Angles less than 90/between 90 and 180
Opposite angles formed when two lines cross
3 unequal sides
Extend one side of the triangle

29. 5-12-?
A line that bisects (halves) an angle in a triangle
13
More than 90 but less than 180
26

30. straight angle
At least 2 equal sides
All equal sides
Opposite angles formed when two lines cross
180

31. 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
8
Opposite angles formed when two lines cross
15

32. similar triangles
SAS SSS AAA
8
Two angles totalling 90
Angles less than 90/between 90 and 180

33. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
90
More than 180
.5B*h

34. Following is true about isosceles triangles
41
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
26
At least 2 equal sides

35. 7-24-?
C2=a2+b2
25
Less than 90
All equal sides

36. reflex angle
13
Line segment from a vertex perpendicular to the base
A line that bisects (halves) an angle in a triangle
More than 180

37. complementary angles
Two angles totalling 90
.5B*h
SAS SSS ASA SAA HL
13