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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. 6-8-?
Angles less than 90/between 90 and 180
Less than 90
8
5

2. 10-24-?
S^2*sqrt(3)/4
26
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle

3. 8-15-?
8
29
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

4. altitute/height
C2=a2+b2
8
Less than 90
Line segment from a vertex perpendicular to the base

5. similar triangles
SAS SSS AAA
Equal
29
Line segment from a vertex perpendicular to the base

6. scalene triangle
3 unequal sides
Opposite angles formed when two lines cross
.5B*h
Line drawn from any angle of a triangle to the midpoint of the opposite side

7. congruent triangles
.5B*h
A line that bisects (halves) an angle in a triangle
SAS SSS ASA SAA HL
Line segment from a vertex perpendicular to the base

8. right angle
25
.5B*h
Two angles totalling 90
90

9. 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
Line drawn from any angle of a triangle to the midpoint of the opposite side
Line segment from a vertex perpendicular to the base
SAS SSS AAA

10. 9-12-?
15
At least 2 equal sides
25
SAS SSS ASA SAA HL

11. 20-21-?
41
29
15
3 unequal sides

12. reflex angle
5
More than 180
20
90

13. 7-24-?
25
More than 90 but less than 180
180
At least 2 equal sides

14. straight angle
S^2*sqrt(3)/4
180
25
At least 2 equal sides

15. exterior angle
5
Extend one side of the 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
Equal

16. 11-60-?
SAS SSS AAA
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
61

17. 3-4-?
25
C2=a2+b2
5
S^2*sqrt(3)/4

18. 2 facts about triangles
S^2*sqrt(3)/4
61
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
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

19. complementary angles
C2=a2+b2
More than 180
Two angles totalling 90
90

20. supplementary angles
61
15
Two angles totalling 180
.5B*h

21. area of 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
17
41
.5B*h

22. 15-20-?
Two angles totalling 180
26
25
15

23. area of equilateral triangle
Extend one side of the triangle
.5B*h
S^2*sqrt(3)/4
41

24. equilateral triangle
SAS SSS ASA SAA HL
All equal sides
Opposite angles formed when two lines cross
SAS SSS AAA

25. 12-16-?
29
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
180
20

26. median
More than 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
At least 2 equal sides

27. acute angle
61
3 unequal sides
26
Less than 90

28. congruent angles
Equal
41
S^2*sqrt(3)/4
.5B*h

29. isosceles triangle
SAS SSS AAA
13
At least 2 equal 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

30. 5-12-?
180
26
Equal
13

31. obtuse angle
Extend one side of the triangle
Equal
More than 90 but less than 180
Angles less than 90/between 90 and 180

32. acute/obtuse triangle
180
.5B*h
Angles less than 90/between 90 and 180
Equal

33. 30-60-90 right triangle
SAS SSS ASA SAA HL
29
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

34. pythagorean theorem
C2=a2+b2
15
More than 180
Line segment from a vertex perpendicular to the base

35. 9-40-?
20
Line drawn from any angle of a triangle to the midpoint of the opposite side
41
26

36. angle bisector
41
SAS SSS ASA SAA HL
A line that bisects (halves) an angle in a triangle
25

37. vertical angles
15
3 unequal sides
Opposite angles formed when two lines cross
Extend one side of the triangle