Geometric Constructions

Front

What is a geometric construction?

Back

A geometric construction is a method of creating geometric figures using only a compass and a straightedge.

Front

What is the purpose of a compass in geometric constructions?

Back

A compass is used to draw arcs and circles, and to measure distances between points.

Front

What is the purpose of a straightedge in geometric constructions?

Back

A straightedge is used to draw straight lines between points.

Front

How do you copy a line segment using a compass and straightedge?

Back

1. Measure the length of the segment with the compass. 2. Place the compass point on the new point and draw an arc. 3. Mark the intersection to create the new segment.

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 of a line segment?

Back

1. Place the compass point on one endpoint and draw arcs above and below the line. 2. Repeat from the other endpoint. 3. Connect the intersection points of the arcs.

Front

What is the first step to inscribe a square inside a circle?

Back

Draw a diameter across the circle.

Front

What is the next step after drawing a diameter to inscribe a square inside a circle?

Back

Construct a perpendicular bisector of the diameter.

Front

What are construction marks in geometric constructions?

Back

Construction marks are points or lines drawn during the construction process to help create accurate geometric figures.

Front

What is the significance of measuring the length of a line segment before copying it?

Back

Measuring ensures that the copied segment is exactly the same length as the original.