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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. similar triangles
Extend one side of the triangle
13
SAS SSS AAA
90

2. isosceles triangle
At least 2 equal sides
Less than 90
3 unequal sides
25

3. exterior angle
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
Extend one side of the triangle
3 unequal sides

4. pythagorean theorem
SAS SSS AAA
C2=a2+b2
.5B*h
26

5. 9-12-?
A line that bisects (halves) an angle in a triangle
More than 90 but less than 180
15
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

6. Following is true about isosceles triangles
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
90
15

7. 5-12-?
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
13
.5B*h
Angles less than 90/between 90 and 180

8. median
8
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
Line drawn from any angle of a triangle to the midpoint of the opposite side

9. 6-8-?
Two angles totalling 90
Two angles totalling 180
3 unequal sides
8

10. 7-24-?
SAS SSS AAA
180
25
3 unequal sides

11. scalene triangle
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
3 unequal sides
SAS SSS AAA

12. congruent angles
Equal
25
Two angles totalling 90
15

13. complementary angles
5
Two angles totalling 90
13
Angles less than 90/between 90 and 180

14. acute angle
13
A line that bisects (halves) an angle in a triangle
Less than 90
Line drawn from any angle of a triangle to the midpoint of the opposite side

15. 10-24-?
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
Extend one side of the triangle
26

16. 11-60-?
13
61
41
180

17. 3-4-?
5
26
Less than 90
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

18. acute/obtuse triangle
17
Equal
SAS SSS AAA
Angles less than 90/between 90 and 180

19. reflex angle
61
25
More than 180
Angles less than 90/between 90 and 180

20. altitute/height
25
Line segment from a vertex perpendicular to the base
Angles less than 90/between 90 and 180
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. right angle
SAS SSS AAA
25
90
Less than 90

22. supplementary angles
Two angles totalling 180
180
Line drawn from any angle of a triangle to the midpoint of the opposite side
13

23. 12-16-?
Two angles totalling 90
90
20
8

24. 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
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
At least 2 equal sides
8

25. angle bisector
.5B*h
A line that bisects (halves) an angle in a triangle
25
5

26. 30-60-90 right triangle
26
C2=a2+b2
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

27. equilateral triangle
Opposite angles formed when two lines cross
All equal sides
29
180

28. area of triangle
SAS SSS AAA
.5B*h
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Equal

29. obtuse angle
More than 180
More than 90 but less than 180
20
Two angles totalling 90

30. straight angle
Two angles totalling 90
S^2*sqrt(3)/4
180
15

31. vertical angles
SAS SSS ASA SAA HL
Opposite angles formed when two lines cross
Line segment from a vertex perpendicular to the base
41

32. 20-21-?
26
29
Line drawn from any angle of a triangle to the midpoint of the opposite side
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

33. congruent triangles
25
A line that bisects (halves) an angle in a triangle
SAS SSS ASA SAA HL
Two angles totalling 180

34. 15-20-?
Line drawn from any angle of a triangle to the midpoint of the opposite side
61
25
Line segment from a vertex perpendicular to the base

35. area of equilateral 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
S^2*sqrt(3)/4
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

36. 8-15-?
17
25
15
Less than 90

37. 9-40-?
41
More than 180
90
Line drawn from any angle of a triangle to the midpoint of the opposite side