Constructions

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they are always the same distance apart and never meet.

Front

Define the term 'bisect'.

Back

To bisect means to cut something into two congruent pieces or in half.

Front

What is a perpendicular line?

Back

A perpendicular line is a line that intersects another line at a right angle (90 degrees).

Front

What is the purpose of constructing a perpendicular bisector?

Back

The purpose is to find the midpoint of a line segment and create a line that is perpendicular to it.

Front

What is the difference between 'congruent' and 'similar'?

Back

Congruent shapes are identical in shape and size, while similar shapes have the same shape but may differ in size.

Front

What is the construction of a circumcenter?

Back

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

Front

What is an angle bisector?

Back

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

Front

How do you construct a perpendicular line through a point on a line?

Back

Use a compass to draw arcs from the point on the line, then use the intersection points to draw a perpendicular line.

Front

What is the significance of the midpoint in constructions?

Back

The midpoint is significant as it helps in creating bisectors and finding equal segments.

Front

What is the construction of an altitude in a triangle?

Back

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