Perpendicular and Angle Bisectors

Front

What is the SAS postulate in triangle congruence?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a line segment into two equal parts at a 90-degree angle.

Front

Why do we use arcs of the same radius when constructing a perpendicular bisector?

Back

Using arcs of the same radius from each endpoint ensures that the arcs are equidistant from each other, which is essential for finding the midpoint.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal angles.

Front

How do you find the perimeter of a polygon?

Back

The perimeter of a polygon is found by adding the lengths of all its sides.

Front

If CD = 12 and EF = 5, what is the perimeter of ACDE if DF is the perpendicular bisector?

Back

The perimeter of ACDE is 30.

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the relationship between perpendicular bisectors and triangle sides?

Back

The perpendicular bisector of a side of a triangle is equidistant from the triangle's vertices.

Front

What is the difference between a median and a perpendicular bisector in a triangle?

Back

A median connects a vertex to the midpoint of the opposite side, while a perpendicular bisector divides a side into two equal parts at a right angle.

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of a triangle intersect, and it is equidistant from all three vertices.