Points of Concurrency Practice

What is the definition of a median of a triangle?

• A line segment that connects a vertex of the triangle to the midpoint of the opposite side.

• A line segment that connects two vertices of the triangle.

• A line segment that connects the midpoint of two sides of the triangle.

• A line segment that connects the centroid of the triangle to a vertex.

What is the definition of an altitude of a triangle?

• A line segment drawn from a vertex to the midpoint of the opposite side.

• A line segment drawn from a vertex to the midpoint of the adjacent side.

• A line segment drawn from a vertex to the midpoint of the triangle.

• A line segment drawn from a vertex perpendicular to the opposite side or to the line containing the opposite side.

What is the definition of a perpendicular bisector of a triangle?

• A line or segment that divides a side of the triangle into two unequal parts at a right angle.

• A line or segment that divides a side of the triangle into two equal parts at an acute angle.

• A line or segment that divides a side of the triangle into two equal parts at an obtuse angle.

• A line or segment that divides a side of the triangle into two equal parts at a right angle.

What is the definition of a circumcenter of a triangle?

• The point where the angle bisectors of the triangle intersect.

• The point where the perpendicular bisectors of the sides of the triangle intersect.

• The point where the medians of the triangle intersect.

• The point where the altitudes of the triangle intersect.

Tags

CCSS.HSG.C.A.3

What is the definition of an incenter of a triangle?

• The incenter of a triangle is the point where the medians of the triangle intersect.

• The incenter of a triangle is the point where the perpendicular bisectors of the triangle intersect.

• The incenter of a triangle is the point where the altitudes of the triangle intersect.

• The incenter of a triangle is the point where the angle bisectors of the triangle intersect.

Tags

CCSS.HSG.C.A.3

Which of the following is true about the medians of a triangle?

• The medians of a triangle intersect at a point called the centroid.

• The medians of a triangle are always equal in length.

• The medians of a triangle are parallel to each other.

• The medians of a triangle do not intersect at any point.

Tags

CCSS.HSG.CO.C.10

Which of the following is true about the altitudes of a triangle?

• They are parallel segments drawn from each vertex to the opposite side.

• They are perpendicular segments drawn from each vertex to the opposite side.

• They are segments connecting the midpoints of each side.

• They are segments connecting each vertex to the midpoint of the opposite side.

Which of the following is true about the perpendicular bisectors of a triangle?

• They pass through the midpoints of each side of the triangle and are not perpendicular to those sides.

• They pass through the midpoints of each side of the triangle and are parallel to those sides.

• They pass through the midpoints of each side of the triangle and are perpendicular to those sides.

• They pass through the vertices of the triangle and are parallel to those sides.

Tags

CCSS.HSG.CO.C.9

Which of the following is true about the circumcenter of a triangle?

• It is the midpoint of the triangle's longest side.

• It is located outside the triangle.

• It is always the same as the centroid of the triangle.

• It is equidistant from the three vertices of the triangle.

Tags

CCSS.HSG.C.A.3

Which of the following is true about the incenter of a triangle?

• It is located at the midpoint of one of the sides of the triangle.

• It is equidistant from two sides of the triangle.

• It is located outside the triangle.

• It is equidistant from all three sides of the triangle.

Tags

CCSS.HSG.C.A.3