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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. angle bisector
S^2*sqrt(3)/4
A line that bisects (halves) an angle in a triangle
90
3 unequal sides

2. 20-21-?
29
90
8
Line drawn from any angle of a triangle to the midpoint of the opposite side

3. 30-60-90 right triangle
3 unequal sides
Two angles totalling 180
25
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

4. equilateral triangle
All equal sides
29
180
C2=a2+b2

5. 10-24-?
Opposite angles formed when two lines cross
61
A line that bisects (halves) an angle in a triangle
26

6. 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
13
180
Two angles totalling 90

7. 9-40-?
SAS SSS ASA SAA HL
41
20
Line drawn from any angle of a triangle to the midpoint of the opposite side

8. area of equilateral triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
More than 180
S^2*sqrt(3)/4
8

9. 5-12-?
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
Angles less than 90/between 90 and 180
25

10. acute angle
90
Less than 90
Opposite angles formed when two lines cross
25

11. 2 facts about triangles
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
A line that bisects (halves) an angle in a triangle
More than 90 but less than 180

12. 15-20-?
Equal
SAS SSS ASA SAA HL
25
.5B*h

13. reflex 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
5
More than 180
Less than 90

14. congruent triangles
Two angles totalling 180
More than 180
Two angles totalling 90
SAS SSS ASA SAA HL

15. median
More than 180
A line that bisects (halves) an angle in a triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
15

16. exterior angle
41
5
Extend one side of the triangle
Equal

17. straight angle
Opposite angles formed when two lines cross
8
180
3 unequal sides

18. right 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
90
61

19. similar triangles
5
Two angles totalling 180
13
SAS SSS AAA

20. pythagorean theorem
At least 2 equal sides
C2=a2+b2
.5B*h
180

21. isosceles triangle
At least 2 equal sides
SAS SSS AAA
41
All equal sides

22. congruent angles
20
More than 180
Equal
Extend one side of the triangle

23. 7-24-?
41
Extend one side of the triangle
25
26

24. 6-8-?
8
Two angles totalling 90
Opposite angles formed when two lines cross
.5B*h

25. altitute/height
Extend one side of the triangle
C2=a2+b2
26
Line segment from a vertex perpendicular to the base

26. supplementary angles
5
25
At least 2 equal sides
Two angles totalling 180

27. 12-16-?
20
Less than 90
Equal
All equal sides

28. 9-12-?
26
Opposite angles formed when two lines cross
15
Extend one side of the triangle

29. 8-15-?
25
17
More than 90 but less than 180
41

30. 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
Opposite angles formed when two lines cross
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

31. area of triangle
17
.5B*h
SAS SSS AAA
5

32. acute/obtuse triangle
90
5
Angles less than 90/between 90 and 180
Equal

33. scalene triangle
3 unequal sides
Angles less than 90/between 90 and 180
180
13

34. obtuse angle
S^2*sqrt(3)/4
Less than 90
More than 90 but less than 180
Line segment from a vertex perpendicular to the base

35. 11-60-?
More than 90 but less than 180
8
61
41

36. 3-4-?
61
Angles less than 90/between 90 and 180
5
15

37. vertical angles
Opposite angles formed when two lines cross
180
Two angles totalling 90
More than 90 but less than 180

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GRE Math: Angles And Triangles

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