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Test your basic knowledge |
GRE Math: Angles And Triangles
Start Test
Study First
Subjects
:
gre
,
math
,
geometry
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-?
8
41
29
Two angles totalling 90
2. 8-15-?
20
17
Two angles totalling 90
Angles less than 90/between 90 and 180
3. complementary angles
25
Line drawn from any angle of a triangle to the midpoint of the opposite side
Two angles totalling 90
3 unequal sides
4. 12-16-?
A line that bisects (halves) an angle in a triangle
20
At least 2 equal sides
Opposite angles formed when two lines cross
5. area of 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
Opposite angles formed when two lines cross
13
.5B*h
6. angle bisector
3 unequal sides
A line that bisects (halves) an angle in a triangle
25
13
7. altitute/height
More than 180
S^2*sqrt(3)/4
Line segment from a vertex perpendicular to the base
41
8. 9-12-?
61
13
Less than 90
15
9. 9-40-?
180
25
Line segment from a vertex perpendicular to the base
41
10. similar triangles
At least 2 equal sides
More than 90 but less than 180
SAS SSS AAA
25
11. congruent angles
Equal
29
Extend one side of the triangle
Angles less than 90/between 90 and 180
12. supplementary angles
180
Two angles totalling 180
29
All equal sides
13. 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
Extend one side of the triangle
At least 2 equal sides
SAS SSS AAA
14. Following is true about isosceles triangles
25
61
S^2*sqrt(3)/4
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. area of equilateral triangle
29
All equal sides
S^2*sqrt(3)/4
Line drawn from any angle of a triangle to the midpoint of the opposite side
16. scalene triangle
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
Equal
3 unequal sides
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
17. straight angle
C2=a2+b2
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
SAS SSS AAA
18. equilateral 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
All equal sides
15
19. isosceles triangle
At least 2 equal sides
41
26
17
20. 11-60-?
180
61
20
Equal
21. median
SAS SSS AAA
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
17
22. acute/obtuse triangle
At least 2 equal sides
Extend one side of the triangle
13
Angles less than 90/between 90 and 180
23. pythagorean theorem
At least 2 equal sides
90
.5B*h
C2=a2+b2
24. 7-24-?
25
More 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
Line drawn from any angle of a triangle to the midpoint of the opposite side
25. vertical angles
90
Opposite angles formed when two lines cross
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
26. congruent triangles
SAS SSS ASA SAA HL
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
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
27. 6-8-?
Two angles totalling 180
SAS SSS ASA SAA HL
61
8
28. obtuse angle
Line segment from a vertex perpendicular to the base
Less than 90
More than 90 but less than 180
SAS SSS ASA SAA HL
29. exterior angle
17
3 unequal sides
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
30. 15-20-?
5
15
Extend one side of the triangle
25
31. 30-60-90 right triangle
More than 180
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
SAS SSS ASA SAA HL
32. 5-12-?
13
3 unequal sides
17
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
33. right angle
At least 2 equal sides
20
Less than 90
90
34. acute angle
Extend one side of the triangle
Less than 90
25
Two angles totalling 90
35. 3-4-?
3 unequal sides
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
S^2*sqrt(3)/4
5
36. 10-24-?
Two angles totalling 90
26
A line that bisects (halves) an angle in a triangle
More than 90 but less than 180
37. reflex angle
More than 90 but less than 180
.5B*h
90
More than 180