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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. 11-60-?
20
Angles less than 90/between 90 and 180
61
Line segment from a vertex perpendicular to the base

2. 15-20-?
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
61
17

3. 10-24-?
26
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
.5B*h

4. 9-40-?
41
Extend one side of the triangle
8
29

5. 9-12-?
Less than 90
15
Line drawn from any angle of a triangle to the midpoint of the opposite side
180

6. area of triangle
3 unequal sides
.5B*h
180
5

7. exterior angle
Two angles totalling 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
Extend one side of the triangle
Less than 90

8. 6-8-?
8
Line drawn from any angle of a triangle to the midpoint of the opposite side
Line segment from a vertex perpendicular to the base
Extend one side of the triangle

9. Following is true about isosceles triangles
S^2*sqrt(3)/4
More than 180
26
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

10. congruent angles
Equal
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
SAS SSS ASA SAA HL

11. complementary angles
.5B*h
20
26
Two angles totalling 90

12. acute/obtuse triangle
Angles less than 90/between 90 and 180
C2=a2+b2
Extend one side of the triangle
13

13. 3-4-?
5
A line that bisects (halves) an angle in a triangle
S^2*sqrt(3)/4
3 unequal sides

14. altitute/height
Line segment from a vertex perpendicular to the base
29
Two angles totalling 180
Angles less than 90/between 90 and 180

15. similar triangles
More than 180
SAS SSS AAA
S^2*sqrt(3)/4
15

16. right angle
SAS SSS ASA SAA HL
13
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
90

17. supplementary angles
S^2*sqrt(3)/4
Two angles totalling 180
Angles less than 90/between 90 and 180
Extend one side of the triangle

18. area of equilateral triangle
20
Angles less than 90/between 90 and 180
At least 2 equal sides
S^2*sqrt(3)/4

19. isosceles triangle
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
Line segment from a vertex perpendicular to the base
At least 2 equal sides

20. 8-15-?
17
More than 90 but less than 180
SAS SSS ASA SAA HL
.5B*h

21. vertical angles
Opposite angles formed when two lines cross
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
3 unequal sides

22. straight angle
180
More than 180
Equal
Opposite angles formed when two lines cross

23. obtuse angle
More than 90 but less than 180
Line segment from a vertex perpendicular to the base
29
26

24. 7-24-?
25
Opposite angles formed when two lines cross
61
17

25. congruent triangles
SAS SSS ASA SAA HL
Two angles totalling 180
C2=a2+b2
Less than 90

26. acute angle
Opposite angles formed when two lines cross
More than 180
17
Less than 90

27. 5-12-?
13
41
.5B*h
3 unequal sides

28. angle bisector
S^2*sqrt(3)/4
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
A line that bisects (halves) an angle in a triangle
25

29. pythagorean theorem
15
C2=a2+b2
29
Opposite angles formed when two lines cross

30. reflex angle
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
More than 180
13
SAS SSS AAA

31. 20-21-?
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
Opposite angles formed when two lines cross
29

32. equilateral triangle
20
SAS SSS AAA
All equal sides
5

33. scalene triangle
3 unequal sides
Line segment from a vertex perpendicular to the base
29
8

34. 12-16-?
20
25
180
Line segment from a vertex perpendicular to the base

35. 30-60-90 right 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
13
17
All equal sides

36. median
Line segment from a vertex perpendicular to the base
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 90
25

37. 2 facts about triangles
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
More than 180
SAS SSS ASA SAA HL