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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. 20-21-?
SAS SSS ASA SAA HL
.5B*h
25
29

2. 6-8-?
More than 180
8
Opposite angles formed when two lines cross
Two angles totalling 180

3. 15-20-?
25
20
S^2*sqrt(3)/4
Less than 90

4. congruent angles
25
SAS SSS AAA
Equal
.5B*h

5. angle bisector
A line that bisects (halves) an angle in a triangle
8
All equal sides
At least 2 equal sides

6. isosceles triangle
All equal sides
At least 2 equal sides
More than 180
180

7. acute angle
Less than 90
Two angles totalling 180
A line that bisects (halves) an angle in a triangle
29

8. reflex angle
25
Less than 90
More than 180
Extend one side of the triangle

9. 10-24-?
More than 90 but less than 180
26
Angles less than 90/between 90 and 180
More than 180

10. 8-15-?
Equal
Two angles totalling 180
17
Less than 90

11. 9-40-?
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
41
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

12. altitute/height
Line segment from a vertex perpendicular to the base
Line drawn from any angle of a triangle to the midpoint of the opposite side
Extend one side of the triangle
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. complementary angles
Two angles totalling 90
S^2*sqrt(3)/4
Angles less than 90/between 90 and 180
15

14. similar triangles
26
SAS SSS AAA
25
5

15. congruent triangles
SAS SSS ASA SAA HL
S^2*sqrt(3)/4
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

16. 7-24-?
Extend one side of the triangle
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
41

17. 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
13
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
Less than 90

18. supplementary angles
Two angles totalling 180
Less than 90
25
More than 90 but less than 180

19. scalene triangle
Angles less than 90/between 90 and 180
Line segment from a vertex perpendicular to the base
13
3 unequal sides

20. Following is true about isosceles triangles
SAS SSS ASA SAA HL
Line segment from a vertex perpendicular to the base
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 unequal sides

21. 3-4-?
SAS SSS ASA SAA HL
At least 2 equal sides
5
A line that bisects (halves) an angle in a triangle

22. straight angle
Extend one side of the triangle
3 unequal sides
180
Line segment from a vertex perpendicular to the base

23. median
5
26
Line drawn from any angle of a triangle to the midpoint of the opposite side
3 unequal sides

24. equilateral triangle
20
29
26
All equal sides

25. right angle
90
C2=a2+b2
SAS SSS ASA SAA HL
41

26. pythagorean theorem
SAS SSS AAA
5
3 unequal sides
C2=a2+b2

27. exterior angle
Extend one side of the triangle
.5B*h
5
20

28. obtuse angle
More than 90 but less than 180
S^2*sqrt(3)/4
41
13

29. vertical angles
Opposite angles formed when two lines cross
17
61
180

30. area of equilateral triangle
S^2*sqrt(3)/4
Two angles totalling 180
13
SAS SSS ASA SAA HL

31. acute/obtuse triangle
8
Angles less than 90/between 90 and 180
13
61

32. 11-60-?
5
41
Two angles totalling 90
61

33. 12-16-?
25
Line segment from a vertex perpendicular to the base
20
Line drawn from any angle of a triangle to the midpoint of the opposite side

34. 5-12-?
13
25
Opposite angles formed when two lines cross
25

35. 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
61
All equal sides

36. area of triangle
17
.5B*h
Line drawn from any angle of a triangle to the midpoint of the opposite side
Opposite angles formed when two lines cross

37. 9-12-?
25
13
41
15

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GRE Math: Angles And Triangles

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