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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. similar triangles
Extend one side of the triangle
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
SAS SSS AAA

2. right angle
90
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
Line segment from a vertex perpendicular to the base

3. exterior angle
C2=a2+b2
Extend one side of the triangle
More than 180
90

4. area of triangle
A line that bisects (halves) an angle in a triangle
.5B*h
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

5. acute angle
Equal
Less than 90
180
All equal sides

6. congruent angles
Extend one side of the triangle
Equal
Less than 90
.5B*h

7. 8-15-?
25
Angles less than 90/between 90 and 180
41
17

8. pythagorean theorem
SAS SSS ASA SAA HL
15
C2=a2+b2
41

9. isosceles triangle
At least 2 equal sides
180
25
25

10. altitute/height
S^2*sqrt(3)/4
Equal
61
Line segment from a vertex perpendicular to the base

11. 3-4-?
Extend one side of the triangle
Opposite angles formed when two lines cross
15
5

12. 9-12-?
8
25
61
15

13. 2 facts about triangles
Less than 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
SAS SSS AAA
Opposite angles formed when two lines cross

14. straight angle
All equal sides
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
180
8

15. acute/obtuse triangle
29
Less than 90
More than 180
Angles less than 90/between 90 and 180

16. vertical 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
17
41
Opposite angles formed when two lines cross

17. 10-24-?
20
Two angles totalling 180
26
SAS SSS ASA SAA HL

18. 12-16-?
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
20
90
A line that bisects (halves) an angle in a triangle

19. Following is true about isosceles triangles
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
.5B*h

20. median
180
Line drawn from any angle of a triangle to the midpoint of the opposite side
A line that bisects (halves) an angle in a triangle
Less than 90

21. reflex angle
61
More than 180
At least 2 equal sides
Less than 90

22. scalene triangle
3 unequal sides
Line segment from a vertex perpendicular to the base
29
C2=a2+b2

23. area of equilateral triangle
13
SAS SSS AAA
3 unequal sides
S^2*sqrt(3)/4

24. 6-8-?
8
90
All 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

25. 15-20-?
25
20
13
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. 9-40-?
A line that bisects (halves) an angle in a triangle
41
Less than 90
SAS SSS ASA SAA HL

27. 5-12-?
SAS SSS AAA
Two angles totalling 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
13

28. 7-24-?
25
At least 2 equal sides
90
.5B*h

29. obtuse angle
More than 90 but less than 180
Extend one side of the triangle
Line segment from a vertex perpendicular to the base
41

30. supplementary angles
8
Two angles totalling 180
Equal
Less than 90

31. 20-21-?
25
61
90
29

32. congruent triangles
A line that bisects (halves) an angle in a triangle
90
All equal sides
SAS SSS ASA SAA HL

33. equilateral triangle
All equal sides
Less than 90
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
Angles less than 90/between 90 and 180

34. complementary angles
Opposite angles formed when two lines cross
Two angles totalling 90
3 unequal sides
Less than 90

35. 30-60-90 right triangle
5
17
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

36. 11-60-?
A line that bisects (halves) an angle in a triangle
Two angles totalling 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
61

37. angle bisector
A line that bisects (halves) an angle in a triangle
More than 180
41
29