Special segments of similar triangles angle bisector

The video tutorial covers the concepts of similar triangles and angle bisectors. It begins by explaining that similar triangles have proportional sides. The tutorial then introduces angle bisectors, defining them as lines that divide an angle into two equal parts. It further explains that the lengths of corresponding angle bisectors are proportional to the lengths of the corresponding sides of the triangles. The video concludes with examples of how to write proportions using the sides of triangles.

What is a key property of similar triangles?

• Their sides are equal.

• Their angles are equal.

• Their altitudes are equal.

• Their sides are proportional.

What does an angle bisector do in a triangle?

• It divides the triangle into two smaller triangles.

• It cuts an angle into two equal parts.

• It divides the triangle into two equal areas.

• It bisects the opposite side.

In similar triangles, the lengths of corresponding angle bisectors are proportional to what?

• The angles of the triangles.

• The perimeters of the triangles.

• The altitudes of the triangles.

• The lengths of the corresponding sides.

Which of the following is a correct proportion for the sides of similar triangles?

• AB is to BC as DE is to EF.

• AB is to DE as AC is to DF.

• AB is to AC as DE is to DF.

• AB is to DE as BC is to EF.

When writing proportions for similar triangles, what is important to remember?

• The triangles must be congruent.

• The angles must be equal.

• The order of the sides does not matter.

• The order of the sides must be consistent.