Geometry Constructions

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 purpose of constructing an angle bisector?

Back

To divide an angle into two equal parts.

Front

How do you construct a perpendicular bisector of a segment?

Back

1. Place the compass point on one endpoint of the segment and draw an arc above and below the segment. 2. Without changing the compass width, repeat from the other endpoint. 3. Draw a line through the intersection points of the arcs.

Front

What does it mean to bisect an angle?

Back

To divide the angle into two equal angles.

Front

What is the definition of a perpendicular bisector?

Back

A line that divides a segment into two equal parts at a 90-degree angle.

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 definition of congruent angles?

Back

Angles that have the same measure.

Front

What is the significance of using a compass in constructions?

Back

A compass is used to create arcs and circles, which are essential for accurate geometric constructions.

Front

What is the definition of a transversal?

Back

A line that intersects two or more lines at different points.

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.