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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. 2 facts about triangles
Angles less than 90/between 90 and 180
C2=a2+b2
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
5

2. area of equilateral triangle
Equal
More than 180
S^2*sqrt(3)/4
8

3. 9-12-?
Two angles totalling 180
15
A line that bisects (halves) an angle in a triangle
Extend one side of the triangle

4. 15-20-?
29
25
Equal
13

5. 11-60-?
3 unequal sides
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
61

6. 6-8-?
8
Two angles totalling 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
Opposite angles formed when two lines cross

7. angle bisector
Line segment from a vertex perpendicular to the base
A line that bisects (halves) an angle in a triangle
Angles less than 90/between 90 and 180
More than 180

8. similar triangles
.5B*h
29
SAS SSS AAA
26

9. congruent triangles
8
26
90
SAS SSS ASA SAA HL

10. 3-4-?
5
S^2*sqrt(3)/4
15
61

11. acute/obtuse triangle
180
Angles less than 90/between 90 and 180
5
Line drawn from any angle of a triangle to the midpoint of the opposite side

12. equilateral triangle
61
13
Less than 90
All equal sides

13. 9-40-?
25
41
More than 90 but less than 180
3 unequal sides

14. isosceles triangle
Two angles totalling 180
Extend one side of the triangle
At least 2 equal sides
17

15. scalene triangle
29
8
13
3 unequal sides

16. congruent angles
Equal
41
Less than 90
Two angles totalling 180

17. 10-24-?
Two angles totalling 90
26
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 180

18. pythagorean theorem
13
25
C2=a2+b2
All equal sides

19. area of triangle
29
.5B*h
26
20

20. straight angle
More than 180
180
3 unequal sides
5

21. right angle
180
26
SAS SSS AAA
90

22. median
More than 90 but less than 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
All equal sides
SAS SSS AAA

23. exterior angle
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle
Two angles totalling 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

24. 8-15-?
A line that bisects (halves) an angle in a triangle
Equal
17
Line segment from a vertex perpendicular to the base

25. obtuse angle
3 unequal sides
More than 90 but less than 180
8
SAS SSS ASA SAA HL

26. 30-60-90 right triangle
At least 2 equal sides
Equal
5
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

27. 7-24-?
29
25
Line segment from a vertex perpendicular to the base
Two angles totalling 180

28. altitute/height
Line segment from a vertex perpendicular to the base
180
29
41

29. acute angle
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
17
Less than 90

30. vertical angles
Two angles totalling 180
Equal
C2=a2+b2
Opposite angles formed when two lines cross

31. complementary angles
.5B*h
Two angles totalling 180
25
Two angles totalling 90

32. 12-16-?
8
Extend one side of the triangle
S^2*sqrt(3)/4
20

33. supplementary angles
20
Two angles totalling 180
S^2*sqrt(3)/4
25

34. reflex angle
26
Two angles totalling 180
More than 180
5

35. 20-21-?
180
29
Opposite angles formed when two lines cross
3 unequal sides

36. Following is true about isosceles triangles
25
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
15
180

37. 5-12-?
Line segment from a vertex perpendicular to the base
More than 90 but less than 180
More than 180
13

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GRE Math: Angles And Triangles

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