Question 1

Which point is defined as the intersection of the altitudes of a triangle?

Accepted Answer

Orthocenter

Answer

Circumcenter

Answer

Incenter

Answer

Centroid

Question 2

What is the relationship between the centroid and the triangles' area?

Accepted Answer

The centroid divides each median into a ratio of 2:1.

Answer

The centroid is equidistant from all vertices.

Answer

The centroid is the centroid of the original triangle.

Answer

The centroid is the point of highest area.

Question 3

Which inequality is true for the lengths of the sides of a triangle?

Accepted Answer

The sum of the lengths of any two sides must be greater than the length of the third side.

Answer

All three sides must be equal.

Answer

The difference of the lengths of any two sides must be greater than the length of the third side.

Answer

The product of the lengths of any two sides must be equal to the length of the third side.

Question 4

In a triangle, what do the angle bisectors intersect to form?

Accepted Answer

Incenter

Answer

Centroid

Answer

Orthocenter

Answer

Circumcenter

Question 5

What property does the perpendicular bisector of a side of a triangle have?

Accepted Answer

It is equidistant from the endpoints of that side.

Answer

It intersects the angle bisector.

Answer

It passes through the circumcenter.

Answer

It divides the triangle into two equal areas.

Question 6

Which line segment connects a vertex of a triangle to the midpoint of the opposite side?

Accepted Answer

Median

Answer

Perpendicular bisector

Answer

Angle bisector

Answer

Altitude

Question 7

Which of the following describes the centroid of a triangle?

Accepted Answer

It is the intersection of the medians.

Answer

It is the circumcenter of the triangle.

Answer

It is the point of concurrency of the altitudes.

Answer

It is the intersection of the angle bisectors.

Question 8

What do the altitudes of a triangle intersect at?

Accepted Answer

Orthocenter

Answer

Incenter

Answer

Centroid

Answer

Circumcenter

Question 9

What is the significance of the circumcenter in a triangle?

Accepted Answer

It is the center of the circumcircle.

Answer

It is the intersection of the medians.

Answer

It is the highest vertex of the triangle.

Answer

It is the center of the incircle.

Question 10

Which point in a triangle is equidistant from all three sides?

Accepted Answer

Incenter

Answer

Circumcenter

Answer

Orthocenter

Answer

Centroid

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