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GRE Math: Angles And Triangles

Instructions:

Answer 37 questions in 15 minutes.
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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-?
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
Angles less than 90/between 90 and 180
8
15

2. 2 facts about triangles
A line that bisects (halves) an angle in a triangle
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
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
25

3. 9-40-?
C2=a2+b2
90
At least 2 equal sides
41

4. equilateral triangle
S^2*sqrt(3)/4
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
All equal sides
25

5. reflex angle
More than 180
All equal sides
Angles less than 90/between 90 and 180
Extend one side of the triangle

6. exterior angle
5
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
Angles less than 90/between 90 and 180

7. 10-24-?
Angles less than 90/between 90 and 180
More than 90 but less than 180
26
Extend one side of the triangle

8. angle bisector
Extend one side of the triangle
A line that bisects (halves) an angle in a triangle
Angles less than 90/between 90 and 180
.5B*h

9. isosceles triangle
26
29
At least 2 equal sides
41

10. acute/obtuse triangle
Two angles totalling 180
Angles less than 90/between 90 and 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
41

11. 30-60-90 right triangle
8
Extend one side of the triangle
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 drawn from any angle of a triangle to the midpoint of the opposite side

12. acute angle
Two angles totalling 180
A line that bisects (halves) an angle in a triangle
90
Less than 90

13. 6-8-?
8
Equal
Two angles totalling 90
Extend one side of the triangle

14. 8-15-?
13
180
17
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa

15. 7-24-?
25
17
41
Two angles totalling 90

16. area of triangle
A line that bisects (halves) an angle in a triangle
More than 90 but less than 180
26
.5B*h

17. congruent angles
20
Extend one side of the triangle
All equal sides
Equal

18. similar triangles
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
8
Equal

19. right angle
S^2*sqrt(3)/4
180
25
90

20. complementary angles
Two angles totalling 90
8
Two angles totalling 180
25

21. vertical angles
C2=a2+b2
Opposite angles formed when two lines cross
Line segment from a vertex perpendicular to the base
Less than 90

22. 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
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
3 unequal sides

23. congruent triangles
SAS SSS ASA SAA HL
All equal sides
5
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

24. 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
S^2*sqrt(3)/4
Less than 90
.5B*h

25. 15-20-?
C2=a2+b2
25
41
SAS SSS ASA SAA HL

26. scalene triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
More than 90 but less than 180
3 unequal sides
Opposite angles formed when two lines cross

27. supplementary angles
Two angles totalling 180
.5B*h
25
More than 180

28. pythagorean theorem
C2=a2+b2
41
61
Less than 90

29. 20-21-?
More than 90 but less than 180
90
Line segment from a vertex perpendicular to the base
29

30. 5-12-?
26
More than 180
13
Line segment from a vertex perpendicular to the base

31. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
At least 2 equal sides
180
Equal

32. 11-60-?
Angles less than 90/between 90 and 180
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
25

33. obtuse angle
More than 90 but less 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
26
S^2*sqrt(3)/4

34. 12-16-?
All equal sides
SAS SSS ASA SAA HL
20
S^2*sqrt(3)/4

35. 3-4-?
Opposite angles formed when two lines cross
S^2*sqrt(3)/4
Line drawn from any angle of a triangle to the midpoint of the opposite side
5

36. straight angle
Less than 90
29
180
3 unequal sides

37. Following is true about isosceles triangles
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
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

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GRE Math: Angles And Triangles

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