Special segments of similar triangles medians

The video tutorial covers key geometric concepts related to triangles, including altitude, angle bisector, and median. It explains how the median is a line that bisects a side of a triangle and is proportional to the sides of similar triangles. The tutorial also discusses how to identify corresponding sides in similar triangles and emphasizes the importance of maintaining the correct order when comparing sides. The session includes interactive questions to reinforce understanding of proportional relationships in geometry.

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

• It divides the triangle into two equal areas.

• It is perpendicular to a side.

• It is parallel to a side.

• It bisects an angle.

How does a median differ from an angle bisector in a triangle?

• A median is parallel to the base.

• A median is always perpendicular to a side.

• A median bisects an angle.

• A median cuts a side in half.

In similar triangles, what is true about the medians?

• They are perpendicular to the base.

• They are proportional to the sides.

• They bisect the angles.

• They are equal in length.

Which pair of sides are proportional in similar triangles?

• AB and CD

• BC and AD

• AC and BD

• AB and DE

When identifying corresponding sides in similar triangles, what is important to remember?

• The sides must be equal in length.

• The order of the vertices must be consistent.

• The sides must be parallel.

• The angles must be bisected.