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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. 10-24-?
26
C2=a2+b2
SAS SSS AAA
15

2. 6-8-?
8
More than 180
More than 90 but less than 180
3 unequal sides

3. 5-12-?
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
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
Extend one side of the triangle

4. reflex angle
Extend one side of the triangle
More than 180
41
S^2*sqrt(3)/4

5. 20-21-?
Two angles totalling 180
More than 90 but less than 180
90
29

6. area of triangle
More than 180
.5B*h
Line segment from a vertex perpendicular to the base
25

7. 8-15-?
17
25
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle

8. 9-40-?
17
S^2*sqrt(3)/4
41
SAS SSS AAA

9. equilateral triangle
All equal sides
SAS SSS ASA SAA HL
5
A line that bisects (halves) an angle in a triangle

10. vertical angles
26
More than 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
Opposite angles formed when two lines cross

11. 12-16-?
20
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
25

12. exterior angle
A line that bisects (halves) an angle in a triangle
Extend one side of the triangle
Opposite angles formed when two lines cross
17

13. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
20
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
25

14. supplementary angles
Equal
Two angles totalling 180
S^2*sqrt(3)/4
Extend one side of the triangle

15. angle bisector
A line that bisects (halves) an angle in a triangle
At least 2 equal sides
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

16. 11-60-?
Two angles totalling 180
90
61
3 unequal sides

17. complementary angles
Less than 90
26
Two angles totalling 90
29

18. 30-60-90 right triangle
C2=a2+b2
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
More than 180

19. area of equilateral triangle
.5B*h
Extend one side of the triangle
8
S^2*sqrt(3)/4

20. scalene triangle
3 unequal sides
A line that bisects (halves) an angle in a triangle
SAS SSS ASA SAA HL
20

21. 7-24-?
Extend one side of the triangle
25
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

22. acute/obtuse triangle
Angles less than 90/between 90 and 180
25
Equal
More than 180

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

24. acute 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
61
Less than 90
3 unequal sides

25. isosceles triangle
8
At least 2 equal sides
All equal sides
41

26. 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
5
41

27. similar triangles
Extend one side of the triangle
8
SAS SSS AAA
SAS SSS ASA SAA HL

28. pythagorean theorem
13
C2=a2+b2
25
SAS SSS AAA

29. straight angle
.5B*h
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
180

30. altitute/height
A line that bisects (halves) an angle in a triangle
61
Equal
Line segment from a vertex perpendicular to the base

31. 15-20-?
Equal
3 unequal sides
17
25

32. 3-4-?
At least 2 equal sides
5
20
26

33. obtuse angle
C2=a2+b2
More than 90 but less than 180
29
61

34. congruent angles
Equal
All equal sides
13
Line drawn from any angle of a triangle to the midpoint of the opposite side

35. 9-12-?
20
41
15
More than 90 but less than 180

36. 2 facts about triangles
More than 90 but less than 180
15
41
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

37. congruent triangles
Less than 90
SAS SSS ASA SAA HL
61
S^2*sqrt(3)/4