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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. 3-4-?
90
Two angles totalling 90
Equal
5

2. pythagorean theorem
15
C2=a2+b2
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
.5B*h

3. 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
29
Line segment from a vertex perpendicular to the base
41

4. acute angle
Less than 90
.5B*h
5
S^2*sqrt(3)/4

5. isosceles 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
Line drawn from any angle of a triangle to the midpoint of the opposite side
At least 2 equal sides
61

6. 30-60-90 right 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
Two angles totalling 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
20

7. equilateral triangle
26
8
61
All equal sides

8. acute/obtuse triangle
Angles less than 90/between 90 and 180
Opposite angles formed when two lines cross
More than 90 but less than 180
Equal

9. area of triangle
.5B*h
90
A line that bisects (halves) an angle in a triangle
17

10. 11-60-?
Equal
8
25
61

11. 20-21-?
15
13
29
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

12. exterior angle
Extend one side of the triangle
SAS SSS AAA
26
61

13. angle bisector
Angles less than 90/between 90 and 180
.5B*h
A line that bisects (halves) an angle in a triangle
13

14. similar triangles
.5B*h
SAS SSS AAA
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

15. supplementary angles
At least 2 equal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 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

16. area of equilateral triangle
8
29
S^2*sqrt(3)/4
Equal

17. 15-20-?
Angles less than 90/between 90 and 180
Equal
Two angles totalling 180
25

18. reflex angle
Extend one side of the triangle
17
More than 180
Two angles totalling 180

19. complementary angles
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Line segment from a vertex perpendicular to the base
Two angles totalling 90
C2=a2+b2

20. 5-12-?
Extend one side of the triangle
Less than 90
25
13

21. 9-12-?
15
41
90
C2=a2+b2

22. 7-24-?
More than 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
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

23. 12-16-?
25
SAS SSS ASA SAA HL
20
25

24. vertical angles
C2=a2+b2
Opposite angles formed when two lines cross
At least 2 equal sides
90

25. 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
Two angles totalling 90
17
41

26. scalene triangle
17
15
3 unequal sides
26

27. 10-24-?
Angles less than 90/between 90 and 180
17
26
Opposite angles formed when two lines cross

28. right angle
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
Line segment from a vertex perpendicular to the base
25

29. 8-15-?
5
13
17
Angles less than 90/between 90 and 180

30. straight angle
180
26
29
90

31. obtuse angle
More than 90 but less than 180
20
Extend one side of the triangle
SAS SSS ASA SAA HL

32. altitute/height
180
Line segment from a vertex perpendicular to the base
More than 180
Angles less than 90/between 90 and 180

33. median
90
29
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle

34. congruent triangles
17
13
SAS SSS ASA SAA HL
20

35. 6-8-?
Less than 90
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
Two angles totalling 90

36. congruent angles
180
Opposite angles formed when two lines cross
SAS SSS AAA
Equal

37. 9-40-?
41
20
A line that bisects (halves) an angle in a triangle
Equal