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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. supplementary angles
Line segment from a vertex perpendicular to the base
17
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

2. similar triangles
29
C2=a2+b2
Line drawn from any angle of a triangle to the midpoint of the opposite side
SAS SSS AAA

3. Following is true about isosceles triangles
29
All 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
A line that bisects (halves) an angle in a triangle

4. 8-15-?
17
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
S^2*sqrt(3)/4
A line that bisects (halves) an angle in a triangle

5. 15-20-?
25
3 unequal sides
20
All equal sides

6. equilateral triangle
13
3 unequal sides
All 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

7. 30-60-90 right triangle
Equal
Line drawn from any angle of a triangle to the midpoint of the opposite side
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
61

8. acute/obtuse triangle
Two angles totalling 180
25
All equal sides
Angles less than 90/between 90 and 180

9. complementary angles
25
26
Two angles totalling 90
All equal sides

10. reflex angle
20
More than 180
Two angles totalling 180
.5B*h

11. congruent angles
Equal
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
More than 180
3 unequal sides

12. 9-40-?
5
41
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle

13. altitute/height
Extend one side of the triangle
20
Line segment from a vertex perpendicular to the base
3 unequal sides

14. 10-24-?
C2=a2+b2
SAS SSS AAA
Two angles totalling 180
26

15. 20-21-?
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
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
C2=a2+b2

16. 12-16-?
Opposite angles formed when two lines cross
Extend one side of the triangle
S^2*sqrt(3)/4
20

17. 11-60-?
61
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
S^2*sqrt(3)/4

18. straight angle
180
A line that bisects (halves) an angle in a triangle
Line segment from a vertex perpendicular to the base
Less than 90

19. 2 facts about triangles
5
15
Two angles totalling 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

20. 7-24-?
Opposite angles formed when two lines cross
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
90

21. area of equilateral triangle
17
13
Two angles totalling 90
S^2*sqrt(3)/4

22. 5-12-?
Extend one side of the triangle
13
SAS SSS ASA SAA HL
At least 2 equal sides

23. vertical angles
180
C2=a2+b2
90
Opposite angles formed when two lines cross

24. median
3 unequal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side
8
25

25. exterior angle
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
All equal sides
Extend one side of the triangle

26. obtuse angle
More than 90 but less than 180
25
Equal
Two angles totalling 90

27. pythagorean theorem
C2=a2+b2
At least 2 equal sides
.5B*h
Line drawn from any angle of a triangle to the midpoint of the opposite side

28. acute angle
Less than 90
Line drawn from any angle of a triangle to the midpoint of the opposite side
All equal sides
5

29. congruent triangles
29
All equal sides
SAS SSS ASA SAA HL
SAS SSS AAA

30. area of triangle
90
15
.5B*h
26

31. 6-8-?
8
Two angles totalling 90
5
S^2*sqrt(3)/4

32. angle bisector
20
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
A line that bisects (halves) an angle in a triangle

33. isosceles triangle
At least 2 equal sides
25
Two angles totalling 180
More than 90 but less than 180

34. 9-12-?
90
15
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

35. scalene triangle
3 unequal sides
S^2*sqrt(3)/4
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
Opposite angles formed when two lines cross

36. right angle
5
SAS SSS ASA SAA HL
90
Two angles totalling 90

37. 3-4-?
.5B*h
More than 90 but less than 180
5
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