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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. 5-12-?
17
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
3 unequal sides
13

2. 6-8-?
S^2*sqrt(3)/4
41
Equal
8

3. 11-60-?
25
61
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

4. congruent angles
S^2*sqrt(3)/4
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
Equal

5. exterior angle
At least 2 equal sides
Extend one side of the triangle
5
29

6. area of equilateral triangle
S^2*sqrt(3)/4
Equal
Line drawn from any angle of a triangle to the midpoint of the opposite side
Angles less than 90/between 90 and 180

7. area of triangle
41
.5B*h
5
13

8. straight angle
5
Line drawn from any angle of a triangle to the midpoint of the opposite side
180
20

9. obtuse angle
20
5
S^2*sqrt(3)/4
More than 90 but less than 180

10. equilateral 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
All equal sides
Two angles totalling 180
SAS SSS AAA

11. similar triangles
SAS SSS ASA SAA HL
41
SAS SSS AAA
A line that bisects (halves) an angle in a triangle

12. 9-12-?
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
61
Opposite angles formed when two lines cross

13. acute angle
At least 2 equal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side
SAS SSS AAA
Less than 90

14. altitute/height
Equal
Line segment from a vertex perpendicular to the base
90
Two angles totalling 180

15. 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
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
At least 2 equal sides

16. 7-24-?
25
15
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
41

17. 15-20-?
Angles less than 90/between 90 and 180
25
At least 2 equal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side

18. 8-15-?
Equal
More than 90 but less than 180
Angles less than 90/between 90 and 180
17

19. reflex angle
20
8
More than 180
At least 2 equal sides

20. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
S^2*sqrt(3)/4
15
Equal

21. 30-60-90 right triangle
17
At least 2 equal sides
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
Angles less than 90/between 90 and 180

22. isosceles triangle
At least 2 equal sides
More than 90 but less than 180
Two angles totalling 90
A line that bisects (halves) an angle in a triangle

23. angle bisector
More than 90 but less than 180
Line segment from a vertex perpendicular to the base
A line that bisects (halves) an angle in a triangle
25

24. congruent triangles
SAS SSS AAA
5
SAS SSS ASA SAA HL
25

25. supplementary angles
Line segment from a vertex perpendicular to the base
A line that bisects (halves) an angle in a triangle
Two angles totalling 180
All equal sides

26. right angle
90
5
Opposite angles formed when two lines cross
25

27. 12-16-?
Line segment from a vertex perpendicular to the base
Opposite angles formed when two lines cross
20
180

28. complementary angles
.5B*h
Less than 90
Two angles totalling 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

29. scalene triangle
3 unequal sides
Less than 90
S^2*sqrt(3)/4
41

30. 20-21-?
Opposite angles formed when two lines cross
8
29
More than 90 but less than 180

31. 2 facts about triangles
S^2*sqrt(3)/4
A line that bisects (halves) an angle in a 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
At least 2 equal sides

32. pythagorean theorem
C2=a2+b2
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
More than 180
25

33. acute/obtuse triangle
Angles less than 90/between 90 and 180
17
All equal sides
20

34. 10-24-?
3 unequal sides
26
180
29

35. vertical angles
All equal sides
180
Two angles totalling 90
Opposite angles formed when two lines cross

36. 9-40-?
41
Angles less than 90/between 90 and 180
Less than 90
26

37. 3-4-?
5
15
61
180