What are the special segments of similar triangles

The video tutorial covers the properties of similar triangles, focusing on the proportionality of their sides. It introduces three special segments: altitudes, angle bisectors, and medians, explaining how each is proportional to the sides of similar triangles. The tutorial emphasizes understanding these concepts through examples and encourages students to recognize the relationships between these segments and triangle sides.

What is a key characteristic of similar triangles?

• They have the same size.

• They have different angles.

• They have the same shape.

• They have different shapes.

In similar triangles, how are the sides related?

• They are equal.

• They are perpendicular.

• They are proportional.

• They are parallel.

What is an altitude in a triangle?

• A line that divides an angle in half.

• A line that is parallel to the base.

• A line that represents the height from the base to the top.

• A line that divides the triangle into two equal areas.

How is an altitude related to the sides of similar triangles?

• It is parallel to the sides.

• It is equal to the sides.

• It is perpendicular to the sides.

• It is proportional to the sides.

What does an angle bisector do in a triangle?

• Is perpendicular to the base.

• Connects the midpoints of two sides.

• Divides an angle into two equal parts.

• Divides a side into two equal parts.

What is a median in a triangle?

• A line that divides an angle in half.

• A line that is perpendicular to the base.

• A line that divides a side into two equal parts.

• A line that is parallel to the base.

How are medians related to the sides of similar triangles?

• They are parallel to the sides.

• They are equal to the sides.

• They are proportional to the sides.

• They are perpendicular to the sides.