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

2. similar triangles
25
8
SAS SSS AAA
26

3. vertical angles
More than 90 but less than 180
Opposite angles formed when two lines cross
41
8

4. equilateral triangle
Line segment from a vertex perpendicular to the base
13
All equal sides
15

5. median
3 unequal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side
61
S^2*sqrt(3)/4

6. scalene triangle
Opposite angles formed when two lines cross
Equal
180
3 unequal sides

7. 8-15-?
Angles less than 90/between 90 and 180
A line that bisects (halves) an angle in a triangle
20
17

8. 15-20-?
A line that bisects (halves) an angle in a triangle
25
Equal
41

9. area of equilateral triangle
15
S^2*sqrt(3)/4
8
Angles less than 90/between 90 and 180

10. 2 facts about triangles
Angles less than 90/between 90 and 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
20
8

11. supplementary angles
3 unequal sides
Two angles totalling 180
Line drawn from any angle of a triangle to the midpoint of the opposite side
Less than 90

12. 20-21-?
29
8
Equal
More than 90 but less than 180

13. 9-40-?
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
41
SAS SSS AAA

14. 10-24-?
26
25
25
Less than 90

15. isosceles triangle
All equal sides
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
At least 2 equal sides

16. straight angle
180
90
SAS SSS AAA
More than 90 but less than 180

17. Following is true about isosceles triangles
At least 2 equal sides
90
Opposite angles formed when two lines cross
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

18. obtuse angle
SAS SSS AAA
Less than 90
90
More than 90 but less than 180

19. 3-4-?
17
S^2*sqrt(3)/4
5
15

20. complementary angles
8
At least 2 equal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 90

21. exterior angle
25
Two angles totalling 90
Extend one side of the triangle
8

22. angle bisector
More than 90 but less than 180
26
A line that bisects (halves) an angle in a triangle
29

23. 5-12-?
29
Angles less than 90/between 90 and 180
Equal
13

24. congruent triangles
25
25
SAS SSS AAA
SAS SSS ASA SAA HL

25. 9-12-?
15
25
180
Less than 90

26. right angle
90
Less than 90
All equal sides
29

27. 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
41
Equal
Less than 90

28. reflex angle
More than 180
Two angles totalling 180
A line that bisects (halves) an angle in a triangle
Line segment from a vertex perpendicular to the base

29. congruent angles
Extend one side of the triangle
SAS SSS ASA SAA HL
SAS SSS AAA
Equal

30. 7-24-?
25
29
5
S^2*sqrt(3)/4

31. 6-8-?
8
More than 180
25
90

32. 12-16-?
15
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 90
20

33. acute/obtuse triangle
At least 2 equal sides
S^2*sqrt(3)/4
Line segment from a vertex perpendicular to the base
Angles less than 90/between 90 and 180

34. pythagorean theorem
Two angles totalling 180
Less than 90
8
C2=a2+b2

35. area of triangle
Extend one side of the triangle
25
Two angles totalling 180
.5B*h

36. acute angle
8
Less than 90
15
20

37. 11-60-?
17
.5B*h
61
SAS SSS ASA SAA HL

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GRE Math: Angles And Triangles

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