Points of Concurrency Review
Authored by Grace Brannen
Mathematics
9th - 12th Grade
CCSS covered
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28 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
Centroid
Incenter
Circumcenter
Orthocenter
Answer explanation
When you draw the perpendicular bisectors of a triangle, they intersect at the circumcenter, which is the center of the circle that can be circumscribed around the triangle. Thus, the correct answer is Circumcenter.
Tags
CCSS.HSG.C.A.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
Centroid
Incenter
Orthocenter
Altitude
Answer explanation
When you draw the medians of a triangle, they intersect at a point called the centroid. The centroid is the center of mass and divides each median into a 2:1 ratio, making it the correct answer.
Tags
CCSS.HSG.CO.C.10
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The figure is an example of a(n) ...
altitude
perpendicular bisector
median
angle bisector
Answer explanation
The figure represents a perpendicular bisector, which is a line that divides a segment into two equal parts at a right angle. This distinguishes it from altitudes, medians, and angle bisectors.
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
C is the Centroid, AB = 30, AC = ?
10
15
20
5
Answer explanation
In a triangle, the centroid divides each median in a 2:1 ratio. Given AB = 30, AC must be 20 to maintain this ratio, as the centroid C is closer to A than to B.
Tags
CCSS.HSG.CO.C.10
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where is the circumcenter located in an obtuse triangle?
inside triangle
outside triangle
on the right angle
on the hypotenuse
Answer explanation
In an obtuse triangle, the circumcenter, which is the point where the perpendicular bisectors of the sides intersect, lies outside the triangle. This is because the obtuse angle pushes the circumcenter away from the triangle.
Tags
CCSS.HSG.C.A.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Where is the orthocenter located in a right triangle?
inside triangle
outside triangle
on the right angle
on the hypotenuse
Answer explanation
In a right triangle, the orthocenter is located at the vertex of the right angle. This is because the altitudes from the other two vertices meet at this point, making the correct answer 'on the right angle'.
Tags
CCSS.HSG.C.A.3
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Segment AD is ________.
a perpendicular segment
a median
an angle bisector
an altitude
Answer explanation
Segment AD is an angle bisector because it divides the angle into two equal parts. This distinguishes it from other options like median, altitude, or perpendicular segment, which serve different geometric purposes.
Tags
CCSS.HSG.CO.C.9
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