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 angle bisector?

Back

The angle bisector is a line or ray that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

How do you bisect a segment using a compass and straightedge?

Back

To bisect a segment, draw arcs from both endpoints of the segment, then connect the intersection points of the arcs.

Front

What is the perpendicular bisector of a segment?

Back

The perpendicular bisector of a segment is a line that is perpendicular to the segment at its midpoint.

Front

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

Back

A compass is used to draw arcs and circles, which help in measuring distances and creating angles.

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Tags

CCSS.8.G.A.2

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

How do you construct a parallel line to a given line through a point not on the line?

Back

To construct a parallel line, use a compass to create equal angles with the given line at the point.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the significance of the straightedge in geometric constructions?

Back

A straightedge is used to draw straight lines between points without measuring.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others.

Tags

CCSS.8.G.A.5