Medians and Altitudes: Check for Understanding

What is a median of a triangle?

a line segment drawn from a vertex to the midpoint of the opposite side a line segment drawn from a vertex perpendicular to the opposite side (or the line containing that side) a line drawn perpendicular to a side of the triangle through its midpoint a line segment or ray drawn from a vertex that cuts the angle in half

Draw a median of triangle ABC using vertex B. Label on your notes the median point with the letter D.

What is the name of the line segment median BD bisected?

AD AB CD AC BC BD

What are the names of the two congruent line segments median BD created ?

CD AB AC AD BD BC

Draw a median of triangle ABC using vertex A. Label on your notes the median point with the letter D.

What is the name of the line segment median AD bisected?

AC AB BD BC AD CD

What are the names of the two congruent line segments median BD created ?

AC BD AB BC CD AD

Draw a median of triangle ABC using vertex C. Label on your notes the median point with the letter D.

What is the name of the line segment median AD bisected?

BC BD AC AD AB CD

What are the names of the two congruent line segments median BD created ?

AB AC AD BC BD CD

What is an altitude of a triangle?

a line drawn perpendicular to a side of the triangle through its midpoint a line segment drawn from a vertex perpendicular to the opposite side (or the line containing that side) a line segment drawn from a vertex to the midpoint of the opposite side a line segment or ray drawn from a vertex that cuts the angle in half

Construct an altitude of triangle ABC using vertex B. Label on your notes the perpendicular point with the letter D. Place a right angle symbol at this point.

What is the name of the perpendicular line segment to altitude BD ?

AC AD BC BD CD AB

What is the name of the smaller line segment created by altitude BD?

CD BC AD AC BD AB

What is the name of the larger line segment created by altitude BD?

AC AB CD AD BC BD

Construct an altitude of triangle ABC using vertex A. Label on your notes the perpendicular point with the letter D. Place a right angle symbol at this point.

What is the name of the perpendicular line segment to altitude AD ?

AB BD AC CD AD BC

What is the name of the smaller line segment created by altitude BD?

AB AC BC CD AD BD

What is the name of the larger line segment created by altitude BD?

BD AD AC CD AB BC

Construct an altitude of triangle ABC using vertex B. Label on your notes the perpendicular point with the letter D. Place a right angle symbol at this point.

What is the name of the line segment perpendicular to altitude BD ?

AC AB AD BD CD BC

What is the name of the smaller line segment created by altitude BD?

BD CD AB BC AC AD

What is the name of the larger line segment created by altitude BD?

BC CD AD AC BD AB

Medians and Altitudes: Check for Understanding

Draw a median of triangle ABC using vertex B. Label on your notes the median point with the letter D.

Draw a median of triangle ABC using vertex A. Label on your notes the median point with the letter D.

Draw a median of triangle ABC using vertex C. Label on your notes the median point with the letter D.

Construct an altitude of triangle ABC using vertex B. Label on your notes the perpendicular point with the letter D. Place a right angle symbol at this point.

Construct an altitude of triangle ABC using vertex A. Label on your notes the perpendicular point with the letter D. Place a right angle symbol at this point.

Construct an altitude of triangle ABC using vertex B. Label on your notes the perpendicular point with the letter D. Place a right angle symbol at this point.

Information: Medians and Altitudes: Check for Understanding