Geometric Constructions

Front

What is a geometric construction?

Back

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

Front

Define corresponding angles.

Back

Corresponding angles are pairs of angles that are in similar positions relative to two lines cut by a transversal.

Tags

CCSS.8.G.A.5

Front

What is the purpose of constructing parallel lines?

Back

The purpose is to create lines that never intersect and are equidistant from each other.

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Front

What is an angle bisector?

Back

An angle bisector is a line that divides an angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

How do you construct a perpendicular line to a point on a line?

Back

To construct a perpendicular line, place the compass point on the line and draw arcs above and below the line, then connect the intersection points with a straightedge.

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Front

What is a congruent segment?

Back

A congruent segment is a line segment that has the same length as another segment.

Tags

CCSS.8.G.A.2

Front

What tools are used in geometric constructions?

Back

The primary tools used are a straightedge and a compass.

Front

What does it mean to construct a perpendicular bisector?

Back

To construct a perpendicular bisector means to create a line that divides a segment into two equal parts at a right angle.

Front

What is the significance of constructing parallel lines to a point not on the line?

Back

It allows for the creation of a line that maintains a constant distance from the original line, which is essential in various geometric proofs.

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Front

Explain the process of constructing an angle bisector.

Back

To construct an angle bisector, draw an arc that intersects both rays of the angle, then use the intersection points to draw another arc, creating the bisector.