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. 9-12-?
13
Extend one side of the triangle
15
C2=a2+b2

2. 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
Two angles totalling 90
Less than 90
More than 180

3. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
C2=a2+b2
90
Equal

4. 6-8-?
8
Line drawn from any angle of a triangle to the midpoint of the opposite side
SAS SSS ASA SAA HL
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

5. 2 facts about triangles
S^2*sqrt(3)/4
8
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

6. 7-24-?
8
25
A line that bisects (halves) an angle in a triangle
180

7. 15-20-?
29
Less than 90
25
.5B*h

8. 8-15-?
More than 90 but less than 180
17
Opposite angles formed when two lines cross
41

9. straight angle
180
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
.5B*h

10. pythagorean theorem
Extend one side of the triangle
SAS SSS AAA
5
C2=a2+b2

11. vertical angles
Opposite angles formed when two lines cross
180
13
15

12. 9-40-?
15
All equal sides
180
41

13. area of triangle
Two angles totalling 90
.5B*h
25
13

14. 20-21-?
5
29
Extend one side of the triangle
25

15. area of equilateral triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
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
S^2*sqrt(3)/4
Less than 90

16. exterior angle
13
SAS SSS AAA
Extend one side of the triangle
8

17. complementary angles
5
41
Two angles totalling 90
.5B*h

18. 5-12-?
29
13
Opposite angles formed when two lines cross
SAS SSS ASA SAA HL

19. supplementary angles
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 180
20
Extend one side of the triangle

20. 11-60-?
Extend one side of the triangle
SAS SSS AAA
61
90

21. isosceles triangle
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
C2=a2+b2
At least 2 equal sides
SAS SSS ASA SAA HL

22. altitute/height
25
13
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

23. acute angle
90
29
Less than 90
20

24. obtuse angle
17
Two angles totalling 90
More than 90 but less than 180
Extend one side of the triangle

25. congruent triangles
More than 180
41
SAS SSS ASA SAA HL
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

26. right angle
3 unequal sides
SAS SSS ASA SAA HL
8
90

27. 3-4-?
13
Less than 90
Opposite angles formed when two lines cross
5

28. scalene triangle
15
3 unequal sides
S^2*sqrt(3)/4
13

29. acute/obtuse triangle
Two angles totalling 180
Angles less than 90/between 90 and 180
8
Extend one side of the triangle

30. angle bisector
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
41
A line that bisects (halves) an angle in a triangle
Angles less than 90/between 90 and 180

31. 12-16-?
20
.5B*h
More than 90 but less than 180
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

32. equilateral triangle
A line that bisects (halves) an angle in a triangle
All equal sides
29
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

33. 30-60-90 right triangle
17
Extend one side of the triangle
8
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

34. 10-24-?
At least 2 equal sides
26
Opposite angles formed when two lines cross
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
26
C2=a2+b2
Two angles totalling 180

36. congruent angles
SAS SSS ASA SAA HL
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Equal
180

37. similar triangles
.5B*h
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
Opposite angles formed when two lines cross