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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. area of triangle
SAS SSS ASA SAA HL
.5B*h
C2=a2+b2
26

2. 8-15-?
20
3 unequal sides
29
17

3. 5-12-?
180
13
Line drawn from any angle of a triangle to the midpoint of the opposite side
At least 2 equal sides

4. straight angle
More than 180
180
All 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

5. reflex angle
More than 180
3 unequal sides
29
26

6. median
C2=a2+b2
Line drawn from any angle of a triangle to the midpoint of the opposite side
90
More than 90 but less than 180

7. vertical angles
13
SAS SSS ASA SAA HL
Opposite angles formed when two lines cross
A line that bisects (halves) an angle in a triangle

8. 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
More than 180
25
26

9. congruent angles
S^2*sqrt(3)/4
Equal
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
8

10. isosceles triangle
Equal
At least 2 equal sides
More than 180
29

11. 2 facts about 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
.5B*h
Line drawn from any angle of a triangle to the midpoint of the opposite side
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. 20-21-?
Line segment from a vertex perpendicular to the base
Two angles totalling 180
29
At least 2 equal sides

13. complementary angles
Opposite angles formed when two lines cross
8
Two angles totalling 90
Less than 90

14. angle bisector
61
A line that bisects (halves) an angle in a triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
90

15. 9-40-?
26
20
41
Line drawn from any angle of a triangle to the midpoint of the opposite side

16. 15-20-?
SAS SSS AAA
.5B*h
25
Extend one side of the triangle

17. 7-24-?
Two angles totalling 90
Line segment from a vertex perpendicular to the base
More than 180
25

18. equilateral triangle
180
More than 180
90
All equal sides

19. pythagorean theorem
Equal
All equal sides
More than 90 but less than 180
C2=a2+b2

20. right angle
.5B*h
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
Two angles totalling 90
90

21. altitute/height
More than 180
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
Line segment from a vertex perpendicular to the base

22. supplementary angles
Opposite angles formed when two lines cross
25
Two angles totalling 180
29

23. 6-8-?
A line that bisects (halves) an angle in a triangle
8
Two angles totalling 90
3 unequal sides

24. exterior angle
Extend one side of the triangle
Less than 90
SAS SSS AAA
25

25. congruent triangles
More than 180
SAS SSS ASA SAA HL
.5B*h
S^2*sqrt(3)/4

26. 10-24-?
Angles less than 90/between 90 and 180
More than 90 but less than 180
Equal
26

27. 11-60-?
A line that bisects (halves) an angle in a triangle
29
61
41

28. 30-60-90 right triangle
A line that bisects (halves) an angle in a triangle
5
.5B*h
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

29. similar triangles
26
A line that bisects (halves) an angle in a triangle
SAS SSS ASA SAA HL
SAS SSS AAA

30. 12-16-?
13
20
Less than 90
61

31. obtuse angle
.5B*h
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
More than 90 but less than 180

32. 9-12-?
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
Extend one side of the triangle
15
20

33. 3-4-?
5
SAS SSS AAA
At least 2 equal sides
41

34. acute/obtuse triangle
180
Angles less than 90/between 90 and 180
.5B*h
3 unequal sides

35. acute angle
Less than 90
Two angles totalling 180
Line segment from a vertex perpendicular to the base
90

36. scalene 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
3 unequal sides
SAS SSS ASA SAA HL
Two angles totalling 180

37. area of equilateral triangle
Equal
S^2*sqrt(3)/4
61
Extend one side of the triangle