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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. area of triangle
29
.5B*h
180
C2=a2+b2

2. 20-21-?
29
90
61
180

3. 30-60-90 right triangle
61
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
Line drawn from any angle of a triangle to the midpoint of the opposite side

4. 10-24-?
More than 180
26
90
Angles less than 90/between 90 and 180

5. altitute/height
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
SAS SSS ASA SAA HL
Line segment from a vertex perpendicular to the base

6. 2 facts about triangles
25
5
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

7. similar triangles
SAS SSS AAA
C2=a2+b2
Line segment from a vertex perpendicular to the base
Two angles totalling 180

8. acute/obtuse triangle
C2=a2+b2
Angles less than 90/between 90 and 180
Less than 90
All equal sides

9. supplementary angles
15
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
.5B*h
Two angles totalling 180

10. 9-12-?
15
More than 90 but less than 180
SAS SSS AAA
All equal sides

11. 3-4-?
5
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
17

12. 8-15-?
17
At least 2 equal sides
.5B*h
Two angles totalling 90

13. equilateral triangle
All equal sides
3 unequal sides
29
S^2*sqrt(3)/4

14. 15-20-?
25
26
Extend one side of the triangle
Angles less than 90/between 90 and 180

15. congruent angles
At least 2 equal sides
61
Equal
.5B*h

16. congruent triangles
5
20
SAS SSS ASA SAA HL
61

17. angle bisector
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
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

18. straight angle
180
SAS SSS ASA SAA HL
41
Less than 90

19. isosceles triangle
Angles less than 90/between 90 and 180
At least 2 equal sides
17
SAS SSS AAA

20. right angle
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
29
Line drawn from any angle of a triangle to the midpoint of the opposite side
90

21. 9-40-?
41
26
A line that bisects (halves) an angle in a triangle
15

22. median
5
3 unequal sides
20
Line drawn from any angle of a triangle to the midpoint of the opposite side

23. obtuse angle
More than 90 but less than 180
3 unequal sides
Opposite angles formed when two lines cross
20

24. 5-12-?
Two angles totalling 180
Extend one side of the triangle
.5B*h
13

25. area of equilateral 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
SAS SSS ASA SAA HL
Extend one side of the triangle
S^2*sqrt(3)/4

26. scalene triangle
3 unequal sides
Two angles totalling 180
5
15

27. reflex 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
41
17
More than 180

28. acute angle
Less than 90
SAS SSS ASA SAA HL
17
S^2*sqrt(3)/4

29. complementary angles
3 unequal sides
A line that bisects (halves) an angle in a triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 90

30. Following is true about isosceles triangles
Extend one side of the triangle
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
Line segment from a vertex perpendicular to the base

31. 7-24-?
180
Line drawn from any angle of a triangle to the midpoint of the opposite side
41
25

32. 12-16-?
20
S^2*sqrt(3)/4
3 unequal sides
At least 2 equal sides

33. 6-8-?
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
8
29

34. vertical angles
Angles less than 90/between 90 and 180
Opposite angles formed when two lines cross
29
Two angles totalling 180

35. exterior angle
Extend one side of the triangle
Equal
Opposite angles formed when two lines cross
29

36. pythagorean theorem
C2=a2+b2
8
29
SAS SSS AAA

37. 11-60-?
More 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
SAS SSS ASA SAA HL
61