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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. congruent triangles
SAS SSS ASA SAA HL
20
5
Two angles totalling 180

2. right angle
180
More than 90 but less than 180
90
.5B*h

3. straight angle
61
Line drawn from any angle of a triangle to the midpoint of the opposite side
Less than 90
180

4. area of equilateral 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
90
S^2*sqrt(3)/4
Opposite angles formed when two lines cross

5. 10-24-?
26
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
13

6. acute angle
Extend one side of the triangle
Two angles totalling 90
Less than 90
17

7. acute/obtuse 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
Angles less than 90/between 90 and 180
17
All equal sides

8. 9-12-?
15
29
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

9. congruent angles
All equal sides
Equal
5
SAS SSS ASA SAA HL

10. 3-4-?
8
Two angles totalling 180
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
5

11. 20-21-?
29
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
A line that bisects (halves) an angle in a triangle

12. 7-24-?
5
20
25
26

13. pythagorean theorem
C2=a2+b2
Two angles totalling 90
3 unequal sides
Angles less than 90/between 90 and 180

14. 6-8-?
More than 90 but less than 180
Extend one side of the triangle
13
8

15. altitute/height
More than 180
20
Less than 90
Line segment from a vertex perpendicular to the base

16. similar triangles
61
.5B*h
SAS SSS AAA
Two angles totalling 90

17. 30-60-90 right triangle
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
Extend one side of the triangle
C2=a2+b2

18. 8-15-?
17
8
20
3 unequal sides

19. Following is true about isosceles triangles
180
Angles less than 90/between 90 and 180
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

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

21. 9-40-?
Two angles totalling 180
41
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

22. supplementary angles
90
29
Two angles totalling 180
8

23. 12-16-?
Opposite angles formed when two lines cross
20
More than 180
17

24. isosceles triangle
20
90
3 unequal sides
At least 2 equal sides

25. exterior angle
8
61
Equal
Extend one side of the triangle

26. equilateral triangle
Opposite angles formed when two lines cross
180
61
All equal sides

27. reflex angle
SAS SSS AAA
8
Line drawn from any angle of a triangle to the midpoint of the opposite side
More than 180

28. complementary angles
5
Opposite angles formed when two lines cross
Two angles totalling 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

29. obtuse angle
More than 90 but less than 180
Two angles totalling 90
15
90

30. 11-60-?
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
61
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. vertical angles
Opposite angles formed when two lines cross
A line that bisects (halves) an angle in a triangle
All equal sides
25

32. area of 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
SAS SSS ASA SAA HL
A line that bisects (halves) an angle in a triangle
.5B*h

33. scalene triangle
3 unequal sides
Less than 90
SAS SSS ASA SAA HL
25

34. 2 facts about triangles
At least 2 equal sides
More than 90 but less than 180
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
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. angle bisector
Extend one side of the triangle
Line segment from a vertex perpendicular to the base
Two angles totalling 90
A line that bisects (halves) an angle in a triangle

36. median
Line segment from a vertex perpendicular to the base
More than 90 but less than 180
Opposite angles formed when two lines cross
Line drawn from any angle of a triangle to the midpoint of the opposite side

37. 5-12-?
29
13
20
Line segment from a vertex perpendicular to the base