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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. scalene triangle
180
S^2*sqrt(3)/4
3 unequal sides
17

2. 3-4-?
A line that bisects (halves) an angle in a triangle
5
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

3. supplementary angles
8
Two angles totalling 180
26
29

4. 20-21-?
Two angles totalling 90
Less than 90
29
3 unequal sides

5. isosceles triangle
26
3 unequal sides
At least 2 equal sides
Opposite angles formed when two lines cross

6. reflex angle
A line that bisects (halves) an angle in a triangle
15
13
More than 180

7. similar triangles
SAS SSS AAA
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
3 unequal sides

8. 8-15-?
17
Angles less than 90/between 90 and 180
13
More than 90 but less than 180

9. 30-60-90 right 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
61
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

10. acute angle
Line drawn from any angle of a triangle to the midpoint of the opposite side
Less than 90
5
SAS SSS ASA SAA HL

11. right angle
At least 2 equal sides
90
More than 90 but less than 180
Extend one side of the triangle

12. 7-24-?
Line drawn from any angle of a triangle to the midpoint of the opposite side
29
25
Two angles totalling 90

13. 6-8-?
Extend one side of the triangle
C2=a2+b2
8
Two angles totalling 180

14. pythagorean theorem
C2=a2+b2
Opposite angles formed when two lines cross
Two angles totalling 90
More than 180

15. area of triangle
.5B*h
SAS SSS AAA
17
All equal sides

16. congruent triangles
SAS SSS ASA SAA HL
5
25
13

17. 12-16-?
Less than 90
20
Two angles totalling 90
Line segment from a vertex perpendicular to the base

18. altitute/height
Line segment from a vertex perpendicular to the base
26
S^2*sqrt(3)/4
29

19. congruent angles
Equal
Angles less than 90/between 90 and 180
26
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. exterior angle
.5B*h
Extend one side of the triangle
Angles less than 90/between 90 and 180
20

21. 9-12-?
15
C2=a2+b2
90
All equal sides

22. 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
More than 90 but less than 180
8
Equal

23. vertical angles
Opposite angles formed when two lines cross
8
90
Equal

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

25. 15-20-?
Equal
25
13
26

26. 9-40-?
Less than 90
90
C2=a2+b2
41

27. 11-60-?
Equal
C2=a2+b2
61
Two angles totalling 180

28. angle bisector
More than 90 but less than 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
A line that bisects (halves) an angle in a triangle
13

29. Following is true about isosceles triangles
Extend one side of the triangle
Line drawn from any angle of a triangle to the midpoint of the opposite side
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

30. 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
Extend one side of the triangle
41

31. area of equilateral triangle
S^2*sqrt(3)/4
20
17
Extend one side of the triangle

32. 10-24-?
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
26
3 unequal sides
.5B*h

33. obtuse angle
More than 90 but less than 180
Two angles totalling 180
Less than 90
41

34. complementary angles
61
90
29
Two angles totalling 90

35. acute/obtuse triangle
Angles less than 90/between 90 and 180
More than 90 but less than 180
20
180

36. equilateral triangle
8
A line that bisects (halves) an angle in a triangle
29
All equal sides

37. median
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
25
Two angles totalling 90

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GRE Math: Angles And Triangles

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