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Mathematics
9th -
10thgrade
Medians and Centroid and Altitudes and Orthocenter
20 questions
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- 1. Multiple ChoiceThe centroid is the point of concurrency of the 3 ____ of a triangle.MediansMidsegmentsPerpendicular BisectorsAngle Bisectos
- 2. Multiple ChoiceThe point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?MidsegmentIncenterCircumcenterCentriod
- 3. Multiple ChoiceThe centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.one thirdtwo thirdsthree fourthsone half
- 4. Multiple ChoiceThe figure is an example of a(n) ...angle bisectormidsegmentaltitudemedian
- 5. Multiple ChoiceIn ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
Find the length of YZ.301557.5 - 6. Multiple Choice
BD is a median of the triangle. Given DC=11, what is the length of AD?
11
22
5.5
3.67
- 7. Multiple Choice
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
4
6
8
Not Enough Information
- 8. Multiple Choice
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
6
8
12
14
- 9. Multiple Choice
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
8
10
12
16
- 10. Multiple Choice
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
12
14
17
21
- 11. Multiple Choice
The three altitudes of a triangle intersect at the?
Circumcenter
Incenter
Centroid
Orthocenter
- 12. Multiple Choice
What type of point of concurrency is pictured?
Circumcenter
Centroid
Incenter
Orthocenter
- 13. Multiple Choice
Which points of concurrency of a triangle are always inside the triangle?
Centroid and Circumcenter
Orthocenter and Incenter
Incenter and Centroid
Circumcenter and Incenter
- 14. Multiple Choice
What is the point of concurrency?
Orthocenter
Centroid
Circumcenter
Incenter
- 15. Multiple ChoiceThe figure is an example of a(n) ...angle bisectorperpendicular bisectormedianmidsegment
- 16. Multiple ChoiceThe figure is an example of a(n) ...altitudeperpendicular bisectormidsegmentangle bisector
- 17. Multiple Choice
In ΔXYZ, YB, XC, and ZA are medians.
If YC= 10, then ZC = _______
15
5
20
10
- 18. Multiple ChoiceWhich of the following words describes the point shown in the figure?A. CenterpointB. OrthocenterC. CentroidD. Midpoint
- 19. Multiple ChoiceWhich of the following words describes the point shown in the figure?CenterpointB. OrthocenterC. CentroidD. Altitude-point
- 20. Multiple ChoiceIn ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______2.71254 - Answer choicesTagsAnswer choicesTags