Geometric Constructions

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What is a perpendicular bisector?

Back

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

Front

What does it mean to bisect a segment?

Back

To bisect a segment means to divide it into two equal parts.

Tags

CCSS.HSG.CO.A.1

Front

What is the construction for creating a parallel line to a point not on the line?

Back

To construct a parallel line to a point not on the line, use a straightedge and compass to create a line that never intersects the original line.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position on two different parallel lines cut by a transversal.

Tags

CCSS.8.G.A.5

Front

What is the purpose of constructing an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the opposite side, used to find the height of the triangle.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Tags

CCSS.8.G.A.2

Front

How do you construct the bisector of a given angle?

Back

To construct the bisector of a given angle, use a compass to draw arcs from the angle's vertex, then connect the intersection points to the vertex.

Front

What is the significance of the midpoint in geometric constructions?

Back

The midpoint is the point that divides a segment into two equal lengths.

Tags

CCSS.HSG.GPE.B.6

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1