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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. reflex angle
S^2*sqrt(3)/4
SAS SSS ASA SAA HL
More than 180
Equal

2. exterior 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
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
A line that bisects (halves) an angle in a triangle
Extend one side of the triangle

3. acute angle
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle
S^2*sqrt(3)/4
Less than 90

4. congruent angles
41
5
Line drawn from any angle of a triangle to the midpoint of the opposite side
Equal

5. 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
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

6. 12-16-?
180
20
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

7. 30-60-90 right 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
.5B*h
25
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

8. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
Less than 90
SAS SSS AAA
Line segment from a vertex perpendicular to the base

9. scalene triangle
Two angles totalling 180
Angles less than 90/between 90 and 180
3 unequal sides
More than 90 but less than 180

10. pythagorean theorem
Two angles totalling 90
180
Equal
C2=a2+b2

11. 2 facts about triangles
All equal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
25

12. 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
Extend one side of the triangle
Angles less than 90/between 90 and 180
At least 2 equal sides

13. supplementary angles
Two angles totalling 180
Equal
Two angles totalling 90
Line segment from a vertex perpendicular to the base

14. 10-24-?
26
At least 2 equal sides
20
17

15. 20-21-?
C2=a2+b2
A line that bisects (halves) an angle in a triangle
29
S^2*sqrt(3)/4

16. 5-12-?
13
More than 180
SAS SSS ASA SAA HL
Extend one side of the triangle

17. similar triangles
25
All equal sides
Angles less than 90/between 90 and 180
SAS SSS AAA

18. equilateral triangle
At least 2 equal sides
All equal sides
Extend one side of the triangle
8

19. isosceles triangle
At least 2 equal sides
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
SAS SSS ASA SAA HL
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

20. 3-4-?
5
Opposite angles formed when two lines cross
Extend one side of the triangle
Equal

21. 11-60-?
Less than 90
61
Extend one side of the 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

22. altitute/height
Two angles totalling 90
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
Equal

23. area of equilateral triangle
SAS SSS ASA SAA HL
.5B*h
S^2*sqrt(3)/4
All equal sides

24. Following is true about isosceles triangles
.5B*h
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
25

25. right angle
25
180
90
SAS SSS AAA

26. straight angle
More than 90 but less than 180
SAS SSS AAA
180
Extend one side of the triangle

27. 9-12-?
15
5
More than 180
17

28. congruent triangles
29
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
SAS SSS ASA SAA HL
90

29. 6-8-?
26
SAS SSS AAA
8
15

30. angle bisector
A line that bisects (halves) an angle in a triangle
More than 90 but less than 180
17
180

31. area of triangle
Two angles totalling 90
.5B*h
Less than 90
3 unequal sides

32. obtuse angle
More than 180
26
Less than 90
More than 90 but less than 180

33. 9-40-?
29
.5B*h
41
Angles less than 90/between 90 and 180

34. 7-24-?
25
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
180
More than 180

35. 8-15-?
At least 2 equal sides
SAS SSS ASA SAA HL
17
13

36. complementary angles
Two angles totalling 90
5
Line segment from a vertex perpendicular to the base
3 unequal sides

37. vertical angles
Opposite angles formed when two lines cross
Two angles totalling 180
25
29