Exploring Altitudes, Medians, and Bisectors in Geometry

What does a median in a triangle connect?

• The midpoint of one side to the opposite vertex

• Two vertices of the triangle

• The midpoint of two sides

• The vertex to the base at a right angle

What is true about the segments created by a median in a triangle?

• They are of equal length

• They divide the triangle into two triangles of equal area

• They are of unequal lengths

• They are perpendicular to each other

Tags

CCSS.HSG.CO.C.10

What is the primary characteristic of an altitude in a triangle?

• It forms right angles with the side it intersects

• It bisects the opposite side into two equal parts

• It connects a vertex to the midpoint of the opposite side

• It is always the longest segment in the triangle

Which statement best describes a perpendicular bisector in a triangle?

• It is parallel to one of the triangle's sides

• It always passes through the triangle's centroid

• It divides the triangle into two equal areas

• It intersects a side at a right angle and divides it into two equal parts

Tags

CCSS.HSG.CO.C.9

Which of the following is true about the perpendicular bisector?

• It divides the triangle into two triangles of equal area

• Any point on it is equidistant from the triangle's vertices

• Any point on it is equidistant from the endpoints of the segment it bisects

• It always intersects the triangle's centroid

Tags

CCSS.HSG.CO.C.9

Which property is shared by both the median and the perpendicular bisector?

• They both pass through the triangle's centroid

• They both divide a side into two equal segments

• They both form right angles with the base

• They both bisect an angle of the triangle

Tags

CCSS.HSG.CO.C.10

What is the function of an angle bisector in a triangle?

• To divide an angle into two angles of equal measure

• To create two triangles of equal area

• To ensure the triangle is equilateral

• To connect the midpoint of a side to the opposite vertex

Tags

CCSS.HSG.CO.C.9

In the mini-quiz, which line was identified as a median?

• KM

• FH

• BD

• RT

Which line was determined to be an altitude in the mini-quiz?

• RT

• BD

• FH

• KM

Tags

CCSS.HSG.CO.C.10

In the mini-quiz, which line serves as the angle bisector?

• RT

• BD

• FH

• KM

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1