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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. pythagorean theorem
All equal sides
25
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
C2=a2+b2

2. right 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
Two angles totalling 180
SAS SSS ASA SAA HL
90

3. reflex angle
All equal sides
8
More than 180
At least 2 equal sides

4. congruent angles
All equal sides
C2=a2+b2
Equal
15

5. altitute/height
17
C2=a2+b2
Equal
Line segment from a vertex perpendicular to the base

6. 11-60-?
61
41
More than 90 but less than 180
S^2*sqrt(3)/4

7. acute/obtuse triangle
90
Equal
Angles less than 90/between 90 and 180
13

8. 20-21-?
29
C2=a2+b2
More than 180
17

9. angle bisector
A line that bisects (halves) an angle in a 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
61
15

10. exterior angle
29
Extend one side of the triangle
Line segment from a vertex perpendicular to the base
.5B*h

11. obtuse angle
61
C2=a2+b2
Less than 90
More than 90 but less than 180

12. 15-20-?
180
25
Angles less than 90/between 90 and 180
A line that bisects (halves) an angle in a triangle

13. 12-16-?
20
Less than 90
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

14. median
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
180
SAS SSS ASA SAA HL

15. congruent triangles
SAS SSS ASA SAA HL
25
Angles less than 90/between 90 and 180
Line drawn from any angle of a triangle to the midpoint of the opposite side

16. 6-8-?
All equal sides
8
Two angles totalling 180
More than 180

17. complementary angles
Two angles totalling 90
61
41
SAS SSS ASA SAA HL

18. supplementary angles
5
Two angles totalling 180
41
Angles less than 90/between 90 and 180

19. 9-40-?
Two angles totalling 180
41
13
180

20. 5-12-?
20
13
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
Two angles totalling 90

21. 9-12-?
All equal sides
15
Two angles totalling 90
S^2*sqrt(3)/4

22. straight angle
17
Equal
More than 180
180

23. isosceles triangle
At least 2 equal sides
Line drawn from any angle of a triangle to the midpoint of the opposite side
180
All equal sides

24. similar triangles
3 unequal sides
SAS SSS ASA SAA HL
SAS SSS AAA
41

25. 3-4-?
More than 90 but less than 180
3 unequal sides
17
5

26. 8-15-?
3 unequal sides
S^2*sqrt(3)/4
17
25

27. 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
25
.5B*h

28. 2 facts about triangles
A line that bisects (halves) an angle in a triangle
20
The sum of any two sides muse be greater than the 3rd side - the largest side lies opposite the largest angle and vice versa
25

29. scalene triangle
29
3 unequal sides
Extend one side of the triangle
Less than 90

30. equilateral 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
A line that bisects (halves) an angle in a triangle
More than 90 but less than 180
All equal sides

31. 7-24-?
Two angles totalling 90
25
15
8

32. vertical angles
26
Line drawn from any angle of a triangle to the midpoint of the opposite side
25
Opposite angles formed when two lines cross

33. 10-24-?
Line segment from a vertex perpendicular to the base
26
Extend one side of the triangle
All equal sides

34. area of triangle
A line that bisects (halves) an angle in a triangle
.5B*h
Two angles totalling 90
Equal

35. area of equilateral triangle
25
13
26
S^2*sqrt(3)/4

36. acute angle
A line that bisects (halves) an angle in a triangle
Less than 90
90
SAS SSS AAA

37. 30-60-90 right triangle
More than 180
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
5

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GRE Math: Angles And Triangles

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