Future-Ready Learning AOL Unit 1A: Vocabulary and Constructions (Geometry)

Flashcards covering vocabulary and constructions from Unit 1A notes, including definitions of points, lines, planes, and standard constructions (perpendicular, parallel, angle bisector, and congruent angles).

What is the perpendicular bisector of a segment?

A line perpendicular to the segment at its midpoint; points on the perpendicular bisector are equidistant from the segment's endpoints.

What are the basic steps to construct the perpendicular bisector of segment AB?

Draw equal-radius arcs from A and B that intersect at two points X and Y; draw line XY; the intersection with AB is the midpoint M and XY is the perpendicular bisector.

Perpendicular through a point on the line

Construct a line perpendicular to a given line k that passes through a point P that lies on k.

Perpendicular through a point not on the line

Construct a line perpendicular to a given line k that passes through a point L that is not on k.

Line parallel through a given point

Construct a line through a given point P that is parallel to a given line l.

Angle Bisector

A line that divides angle ABC into two congruent angles.

Congruent angles construction

A method using a compass and straightedge to construct an angle equal in measure to a given angle.

Midpoint

The point that divides a segment into two congruent parts.

Bisect a segment

To cut a segment into two equal parts at its midpoint.

Point

A precise location in space with no size.

Line

A straight path that extends without end in two directions; determined by any two distinct points.

Plane

A flat surface that extends without end; determined by three non-collinear points.

Non-collinear points

Three points that do not lie on the same straight line; they determine a plane.

Three non-collinear points determine what geometric object?

A plane.

What is the intersection of two lines?

A point (assuming the lines are not parallel).