Basic Constructions in Geometry

Front

What is the Corresponding Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is equal.

Front

What is the Alternate Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.

Front

What is the Alternate Exterior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is equal.

Front

What is the Consecutive Interior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.

Front

What does it mean to bisect an angle?

Back

To divide an angle into two equal parts.

Front

What is the first step in constructing a line parallel to a given line through a point not on the line?

Back

Use a compass to create an angle that corresponds to the angle formed by the transversal with the given line.

Front

What is the definition of a construction in geometry?

Back

A geometric drawing that is made using only a compass and straightedge.

Front

What is the purpose of using a compass in geometric constructions?

Back

To create arcs and circles, which help in measuring distances and angles.

Front

What is the purpose of using a straightedge in geometric constructions?

Back

To draw straight lines between points.

Front

What is a hexagon inscribed in a circle?

Back

A hexagon where all its vertices lie on the circumference of the circle.