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