Geometry Content Review

LINES AND ANGLES

Line Segments

Some of the most basic geometry problems on the SHSAT deal with line segments. A line segment is a piece of a line, and it has an

exact measurable length. Questions will give you a segment divided into several pieces, give you the measurements of some of these

pieces, and ask you for the measurement of a particular piece.

The point exactly in the middle of a line segment, halfway between the endpoints, is called the midpoint of the line segment. To

bisect means to cut in half, so the midpoint of a line segment bisects that line segment.

MIDPOINT

The midpoint of a line segment bisects that line segment.

M is the midpoint of AB, so AM = MB.

Exercise

If PR = 12 and QR = 4, PQ =

PQ = PR − QR

PQ = 12 − 4

PQ = 8

i. If points A, D, B, and C lie on a line in that order, and AB = 8, DC = 16, and D is the midpoint of AB, then AC =?