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

What is an angle bisector?

Back

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

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

What is the construction for creating a perpendicular line to a point on a line?

Back

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

Front

What is the construction for creating a perpendicular line to a point not on a line?

Back

To construct a perpendicular line to a point not on a line, draw a line from the point to the line, then construct a perpendicular bisector.

Front

What is the difference between congruent angles and similar angles?

Back

Congruent angles have the same measure, while similar angles have the same shape but may differ in size.

Front

How do you construct the bisector of a given angle?

Back

To construct the bisector of a given angle, use a compass to draw arcs from the angle's vertex and then connect the intersection points.

Front

What is the significance of congruent line segments in constructions?

Back

Congruent line segments are segments that are equal in length, which is essential for creating accurate geometric figures.

Front

What is the purpose of using a compass and straightedge in constructions?

Back

A compass and straightedge are used to create precise geometric constructions without measuring tools.

Front

What is the definition of similar figures?

Back

Similar figures have the same shape but may differ in size, maintaining proportional dimensions.