Constructions Flashcard Review

Front

What is an Altitude in a triangle?

Back

An altitude is a line segment from a vertex of a triangle perpendicular to the line containing the opposite side.

Front

What is a Median in a triangle?

Back

A median is a line segment from a vertex of a triangle to the midpoint of the opposite side.

Front

What is a Perpendicular Bisector?

Back

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

Front

What is an Angle Bisector?

Back

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

Front

What is a Midpoint?

Back

A midpoint is the point that divides a segment into two equal lengths.

Front

How do you construct an Equilateral Triangle?

Back

To construct an equilateral triangle, draw a segment and use a compass to draw arcs from each endpoint with the same radius, connecting the intersection points.

Front

How do you construct a Perpendicular Line from a point off the line?

Back

To construct a perpendicular line from a point off the line, use a compass to draw arcs from the point and the line, then connect the intersection points.

Front

What is the difference between an Altitude and a Median?

Back

An altitude is perpendicular to the opposite side, while a median connects a vertex to the midpoint of the opposite side.

Front

What is the significance of the Perpendicular Bisector in triangles?

Back

The perpendicular bisector of a side of a triangle is the locus of points equidistant from the endpoints of that side.

Front

What is the relationship between the Angle Bisector and the sides of a triangle?

Back

The angle bisector divides the opposite side into segments that are proportional to the adjacent sides.