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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. 9-12-?
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
More than 90 but less than 180
15
41

2. Following is true about isosceles triangles
Line segment from a vertex perpendicular to the base
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
Two angles totalling 90

3. area of triangle
SAS SSS AAA
Extend one side of the triangle
.5B*h
S^2*sqrt(3)/4

4. 6-8-?
26
S^2*sqrt(3)/4
15
8

5. angle bisector
26
3 unequal sides
Two angles totalling 180
A line that bisects (halves) an angle in a triangle

6. straight angle
180
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
26

7. obtuse angle
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
More than 90 but less than 180
8

8. equilateral triangle
All equal sides
180
5
Line segment from a vertex perpendicular to the base

9. 8-15-?
Two angles totalling 90
8
17
25

10. right angle
90
17
More than 180
SAS SSS ASA SAA HL

11. reflex angle
A line that bisects (halves) an angle in a triangle
25
Angles less than 90/between 90 and 180
More than 180

12. complementary angles
A line that bisects (halves) an angle in a triangle
Opposite angles formed when two lines cross
180
Two angles totalling 90

13. 7-24-?
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
Two angles totalling 180
25

14. scalene triangle
41
More than 90 but less than 180
Two angles totalling 180
3 unequal sides

15. median
C2=a2+b2
15
Line segment from a vertex perpendicular to the base
Line drawn from any angle of a triangle to the midpoint of the opposite side

16. vertical angles
Line drawn from any angle of a triangle to the midpoint of the opposite side
Opposite angles formed when two lines cross
8
Two angles totalling 90

17. 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
61
SAS SSS AAA
Line drawn from any angle of a triangle to the midpoint of the opposite side

18. 30-60-90 right triangle
3 unequal sides
More than 180
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

19. pythagorean theorem
C2=a2+b2
90
SAS SSS AAA
More than 180

20. isosceles 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
At least 2 equal sides
More than 90 but less than 180
Extend one side of the triangle

21. congruent angles
Equal
20
5
Line segment from a vertex perpendicular to the base

22. altitute/height
3 unequal sides
Line segment from a vertex perpendicular to the base
.5B*h
At least 2 equal sides

23. 9-40-?
A line that bisects (halves) an angle in a triangle
SAS SSS ASA SAA HL
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
41

24. acute/obtuse 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
20
Angles less than 90/between 90 and 180
25

25. supplementary angles
29
5
Extend one side of the triangle
Two angles totalling 180

26. 15-20-?
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
All equal sides
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. area of equilateral triangle
S^2*sqrt(3)/4
More than 90 but less than 180
29
15

28. similar triangles
.5B*h
SAS SSS AAA
SAS SSS ASA SAA HL
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

29. exterior angle
SAS SSS AAA
90
Extend one side of the triangle
26

30. 20-21-?
26
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
29

31. 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
Less than 90
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 180

32. 12-16-?
90
20
Less than 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

33. 5-12-?
Angles less than 90/between 90 and 180
More than 90 but less than 180
13
20

34. congruent triangles
SAS SSS AAA
SAS SSS ASA SAA HL
.5B*h
29

35. 3-4-?
Two angles totalling 90
5
All equal sides
More than 90 but less than 180

36. 10-24-?
8
SAS SSS ASA SAA HL
S^2*sqrt(3)/4
26

37. acute angle
Less than 90
180
3 unequal sides
8