12/6/24 Special Segments Triangles

Front

What is a median in a triangle?

Back

A median is a segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

An altitude is a segment that connects a vertex of the triangle to the opposite side at a 90-degree angle.

Front

What is a perpendicular bisector?

Back

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

Front

What does the Perpendicular Bisector Theorem state?

Back

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Front

What is the SAS (Side-Angle-Side) congruence postulate?

Back

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) congruence postulate?

Back

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the SSS (Side-Side-Side) congruence postulate?

Back

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) congruence postulate?

Back

If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

How do you find the length of segment DC using the Perpendicular Bisector Theorem if AB = 8 and AC = 4?

Back

DC = 4, since the perpendicular bisector divides AB into two equal segments.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.