Test your basic knowledge |

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. altitute/height
13
.5B*h
5
Line segment from a vertex perpendicular to the base

2. complementary angles
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
Two angles totalling 90
Equal

3. acute/obtuse triangle
5
Angles less than 90/between 90 and 180
20
Equal

4. straight angle
A line that bisects (halves) an angle in a triangle
26
61
180

5. acute angle
3 unequal sides
All equal sides
Two angles totalling 90
Less than 90

6. 7-24-?
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
25
Opposite angles formed when two lines cross

7. 3-4-?
5
SAS SSS ASA SAA HL
Line segment from a vertex perpendicular to the base
SAS SSS AAA

8. angle bisector
All equal sides
A line that bisects (halves) an angle in a triangle
8
Two angles totalling 90

9. congruent angles
SAS SSS ASA SAA HL
Equal
26
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

10. 12-16-?
S^2*sqrt(3)/4
5
25
20

11. 8-15-?
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
13
All equal sides
17

12. obtuse angle
90
More than 90 but less than 180
More than 180
25

13. 30-60-90 right triangle
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
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

14. 11-60-?
A line that bisects (halves) an angle in a triangle
41
61
More than 90 but less than 180

15. right angle
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
More 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

16. 9-12-?
29
Two angles totalling 180
15
A line that bisects (halves) an angle in a triangle

17. exterior angle
15
SAS SSS AAA
Extend one side of the triangle
13

18. congruent triangles
Two angles totalling 90
Two angles totalling 180
SAS SSS ASA SAA HL
Line drawn from any angle of a triangle to the midpoint of the opposite side

19. vertical angles
8
Less than 90
3 unequal sides
Opposite angles formed when two lines cross

20. 6-8-?
15
8
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

21. similar triangles
Opposite angles formed when two lines cross
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
Line segment from a vertex perpendicular to the base

22. equilateral triangle
All equal sides
More than 180
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
17

23. 2 facts about triangles
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
25
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

24. area of triangle
.5B*h
90
25
Line drawn from any angle of a triangle to the midpoint of the opposite side

25. 15-20-?
25
Line segment from a vertex perpendicular to the base
15
61

26. 9-40-?
8
Two angles totalling 90
At least 2 equal sides
41

27. median
61
90
29
Line drawn from any angle of a triangle to the midpoint of the opposite side

28. supplementary angles
SAS SSS ASA SAA HL
C2=a2+b2
More than 90 but less than 180
Two angles totalling 180

29. 5-12-?
13
15
20
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

30. isosceles triangle
At least 2 equal sides
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
Extend one side of the triangle

31. reflex angle
61
More than 180
A line that bisects (halves) an angle in a triangle
29

32. 10-24-?
More than 180
C2=a2+b2
26
5

33. scalene triangle
61
.5B*h
25
3 unequal sides

34. area of equilateral triangle
26
.5B*h
S^2*sqrt(3)/4
C2=a2+b2

35. 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 90 but less than 180
C2=a2+b2
SAS SSS AAA

36. 20-21-?
All equal sides
Angles less than 90/between 90 and 180
29
.5B*h

37. pythagorean theorem
SAS SSS AAA
C2=a2+b2
More than 90 but less than 180
Two angles totalling 180