Geometric Constructions Abridged

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

How do you construct a perpendicular bisector using a compass and straightedge?

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.

Tags

CCSS.HSG.CO.C.9

Front

What is the purpose of measuring the length of a line segment with a compass?

Back

To accurately replicate the length of the segment in a construction.

Tags

CCSS.2.MD.A.3

Front

What is the difference between a line and a line segment?

Back

A line extends infinitely in both directions, while a line segment has two endpoints.

Tags

CCSS.4.G.A.1

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What does it mean to duplicate a line segment?

Back

To create a new line segment that is exactly the same length as the original line segment.

Front

What is the first step in constructing congruent angles?

Back

Draw an angle and label its vertex.

Front

Why is it important to open the compass to a radius greater than half the length of the segment when constructing a perpendicular bisector?

Back

To ensure that the arcs intersect above and below the segment, allowing for a proper bisector.

Front

What is the significance of the intersection points when constructing a perpendicular bisector?

Back

The intersection points of the arcs are used to draw the bisector line.

Tags

CCSS.HSG.CO.C.9

Front

What tools are commonly used in geometric constructions?

Back

A compass and a straightedge (ruler without markings).