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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-?
20
13
3 unequal sides
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

2. 12-16-?
41
20
17
SAS SSS ASA SAA HL

3. congruent triangles
25
S^2*sqrt(3)/4
SAS SSS ASA SAA HL
Line segment from a vertex perpendicular to the base

4. area of triangle
.5B*h
More than 180
Less than 90
20

5. 20-21-?
S^2*sqrt(3)/4
29
At least 2 equal sides
90

6. acute angle
Less than 90
3 unequal sides
More than 180
At least 2 equal sides

7. 6-8-?
17
8
SAS SSS ASA SAA HL
.5B*h

8. exterior angle
Angles less than 90/between 90 and 180
SAS SSS AAA
Extend one side of the triangle
13

9. equilateral triangle
More than 90 but less than 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
S^2*sqrt(3)/4
All equal sides

10. supplementary angles
5
All equal sides
25
Two angles totalling 180

11. pythagorean theorem
29
C2=a2+b2
S^2*sqrt(3)/4
Equal

12. 15-20-?
Opposite angles formed when two lines cross
25
Line segment from a vertex perpendicular to the base
Equal

13. complementary angles
41
Two angles totalling 90
A line that bisects (halves) an angle in a triangle
8

14. straight angle
5
A line that bisects (halves) an angle in a triangle
180
Extend one side of the triangle

15. obtuse angle
Equal
180
More than 90 but less than 180
Line drawn from any angle of a triangle to the midpoint of the opposite side

16. 10-24-?
At least 2 equal sides
C2=a2+b2
26
41

17. 9-40-?
41
90
180
3 unequal sides

18. 11-60-?
61
SAS SSS ASA SAA HL
Two angles totalling 90
180

19. 3-4-?
More than 90 but less than 180
5
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

20. 7-24-?
13
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
Opposite angles formed when two lines cross

21. vertical angles
29
41
Opposite angles formed when two lines cross
90

22. reflex angle
41
13
More than 180
C2=a2+b2

23. angle bisector
90
Two angles totalling 90
26
A line that bisects (halves) an angle in a triangle

24. congruent angles
20
Two angles totalling 90
15
Equal

25. 8-15-?
26
90
20
17

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
Equal
Two angles totalling 90
41

27. scalene triangle
C2=a2+b2
8
3 unequal sides
41

28. 9-12-?
15
Line segment from a vertex perpendicular to the base
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 90 but less than 180

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

30. isosceles triangle
Opposite angles formed when two lines cross
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
At least 2 equal sides

31. 30-60-90 right triangle
Angles less than 90/between 90 and 180
26
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

32. area of equilateral triangle
SAS SSS AAA
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
S^2*sqrt(3)/4

33. similar triangles
SAS SSS AAA
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 90 but less than 180
3 unequal sides

34. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
.5B*h
At least 2 equal sides
Two angles totalling 90

35. 2 facts about triangles
More than 180
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
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. acute/obtuse triangle
Two angles totalling 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
Angles less than 90/between 90 and 180
C2=a2+b2

37. altitute/height
C2=a2+b2
Line segment from a vertex perpendicular to the base
At least 2 equal sides
Two angles totalling 180