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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. 9-40-?
.5B*h
SAS SSS ASA SAA HL
A line that bisects (halves) an angle in a triangle
41

2. straight angle
Equal
SAS SSS ASA SAA HL
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
180

3. 7-24-?
5
29
15
25

4. similar triangles
A line that bisects (halves) an angle in a triangle
SAS SSS AAA
61
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

5. 3-4-?
5
.5B*h
26
A line that bisects (halves) an angle in a triangle

6. complementary angles
More than 90 but less than 180
Two angles totalling 90
29
13

7. 6-8-?
More than 180
8
20
Two angles totalling 180

8. 5-12-?
29
15
Opposite angles formed when two lines cross
13

9. angle bisector
Less than 90
C2=a2+b2
A line that bisects (halves) an angle in a triangle
3 unequal sides

10. reflex angle
More than 180
13
20
Extend one side of the triangle

11. equilateral triangle
All equal sides
180
3 unequal sides
A line that bisects (halves) an angle in a triangle

12. supplementary angles
17
Two angles totalling 180
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

13. 20-21-?
29
61
180
13

14. congruent angles
25
Line segment from a vertex perpendicular to the base
Equal
More than 90 but less than 180

15. 9-12-?
90
5
15
Less than 90

16. exterior angle
Extend one side of the triangle
15
61
3 unequal sides

17. area of 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
.5B*h
SAS SSS ASA SAA HL
41

18. isosceles triangle
Angles less than 90/between 90 and 180
.5B*h
S^2*sqrt(3)/4
At least 2 equal sides

19. acute angle
Less than 90
29
SAS SSS ASA SAA HL
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

20. 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
SAS SSS AAA
41
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

21. 2 facts about triangles
More than 180
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

22. congruent triangles
SAS SSS ASA SAA HL
Less than 90
S^2*sqrt(3)/4
3 unequal sides

23. median
C2=a2+b2
Equal
Line drawn from any angle of a triangle to the midpoint of the opposite side
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. scalene triangle
Equal
Angles less than 90/between 90 and 180
A line that bisects (halves) an angle in a triangle
3 unequal sides

25. 15-20-?
8
29
C2=a2+b2
25

26. 11-60-?
26
Less than 90
25
61

27. 30-60-90 right triangle
Angles less than 90/between 90 and 180
8
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

28. pythagorean theorem
At least 2 equal sides
90
C2=a2+b2
A line that bisects (halves) an angle in a triangle

29. altitute/height
C2=a2+b2
Line segment from a vertex perpendicular to the base
15
Extend one side of the triangle

30. 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
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
20
5

31. vertical angles
180
26
Opposite angles formed when two lines cross
S^2*sqrt(3)/4

32. acute/obtuse triangle
Angles less than 90/between 90 and 180
More than 90 but less than 180
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

33. 10-24-?
C2=a2+b2
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
26

34. right angle
Two angles totalling 90
SAS SSS ASA SAA HL
13
90

35. 8-15-?
SAS SSS ASA SAA HL
17
All equal sides
Less than 90

36. obtuse angle
15
More than 90 but less than 180
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

37. area of equilateral 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
41
Extend one side of the triangle
S^2*sqrt(3)/4

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GRE Math: Angles And Triangles

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