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. congruent triangles
5
15
SAS SSS ASA SAA HL
3 unequal sides

2. 20-21-?
Extend one side of the triangle
41
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

3. right angle
90
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 drawn from any angle of a triangle to the midpoint of the opposite side
Opposite angles formed when two lines cross

4. complementary angles
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Two angles totalling 90
26
180

5. congruent angles
At least 2 equal sides
Equal
29
17

6. 10-24-?
26
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
S^2*sqrt(3)/4

7. 12-16-?
20
S^2*sqrt(3)/4
C2=a2+b2
More than 90 but less than 180

8. 30-60-90 right triangle
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
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

9. similar triangles
29
Equal
90
SAS SSS AAA

10. 9-40-?
.5B*h
More than 90 but less than 180
41
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

11. pythagorean theorem
All equal sides
Line segment from a vertex perpendicular to the base
C2=a2+b2
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

12. area of triangle
17
All equal sides
More than 180
.5B*h

13. angle bisector
A line that bisects (halves) an angle in a triangle
Line segment from a vertex perpendicular to the base
13
5

14. 2 facts about triangles
29
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
41

15. altitute/height
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
A line that bisects (halves) an angle in a triangle
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

16. 11-60-?
20
61
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

17. 6-8-?
More than 90 but less than 180
3 unequal sides
Opposite angles formed when two lines cross
8

18. 3-4-?
SAS SSS ASA SAA HL
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

19. 15-20-?
Two angles totalling 180
8
25
.5B*h

20. 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
61
180
At least 2 equal sides

21. vertical angles
Opposite angles formed when two lines cross
5
Line segment from a vertex perpendicular to the base
At least 2 equal sides

22. obtuse angle
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
8
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

23. area of equilateral triangle
25
20
8
S^2*sqrt(3)/4

24. Following is true about isosceles triangles
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 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
41

25. reflex angle
Line segment from a vertex perpendicular to the base
8
S^2*sqrt(3)/4
More than 180

26. 5-12-?
Extend one side of the triangle
13
Line segment from a vertex perpendicular to the base
25

27. equilateral triangle
13
A line that bisects (halves) an angle in a triangle
More than 180
All equal sides

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

29. scalene triangle
Line segment from a vertex perpendicular to the base
SAS SSS AAA
.5B*h
3 unequal sides

30. exterior angle
.5B*h
8
Extend one side of the triangle
More than 90 but less than 180

31. supplementary angles
A line that bisects (halves) an angle in a triangle
26
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 180

32. acute angle
Opposite angles formed when two lines cross
20
A line that bisects (halves) an angle in a triangle
Less than 90

33. straight angle
.5B*h
180
8
At least 2 equal sides

34. 8-15-?
Two angles totalling 90
17
8
20

35. 9-12-?
SAS SSS AAA
15
20
S^2*sqrt(3)/4

36. acute/obtuse triangle
Opposite angles formed when two lines cross
Line segment from a vertex perpendicular to the base
5
Angles less than 90/between 90 and 180

37. 7-24-?
S^2*sqrt(3)/4
25
More than 180
3 unequal sides