Comparing Angle and Perpendicular Bisectors in Triangles

This video tutorial compares angle bisectors and perpendicular bisectors, highlighting their characteristics and differences. It explains how angle bisectors divide angles into equal halves and meet at the incenter, which is equidistant from the triangle's sides. Perpendicular bisectors, on the other hand, start at the midpoint of a triangle's side, form a 90-degree angle, and meet at the circumcenter, equidistant from the vertices. The video also discusses how these concepts can be applied to understand congruent triangles and solve geometric problems.

What does an angle bisector do to an angle?

• Cuts it into three equal parts

• Cuts it into two equal halves

• Forms a 90-degree angle

• Divides it into unequal parts

Where do the angle bisectors of a triangle meet?

• Orthocenter

• Circumcenter

• Incenter

• Centroid

What is the symbol for perpendicular?

• ||

• ∥

• ∠

• ⊥

Where does a perpendicular bisector start in a triangle?

• At the circumcenter

• At the incenter

• At the midpoint of a side

• At the vertex

What is the point called where the perpendicular bisectors of a triangle meet?

• Circumcenter

• Centroid

• Orthocenter

• Incenter

What is the circumcenter equidistant from?

• The vertices of the triangle

• The midpoints of the sides

• The angles of the triangle

• The sides of the triangle

What is the incenter equidistant from?

• The midpoints of the sides

• The angles of the triangle

• The sides of the triangle

• The vertices of the triangle

What mistake did the narrator correct regarding the incenter?

• It is the midpoint of a side

• It forms a 90-degree angle

• It is equidistant from the sides

• It is equidistant from the vertices

How can knowing the incenter help in creating congruent triangles?

• By knowing the midpoints of the sides

• By knowing the angles and sides

• By knowing the lengths of the sides

• By knowing the vertices

What information can be gathered using perpendicular bisectors?

• The midpoints of the sides

• The angles and sides

• The lengths of the sides

• The vertices