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Segments, Rays, and Midpoints

Endpoints, segment addition, and equal halves.

Lesson 2 of 43 parts Practice Flashcards

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1

Segments and Rays

Objective: Distinguish a segment from a ray.

A segment contains two endpoints and every point between them. A ray begins at one endpoint and extends indefinitely through another point. Ray AB and ray BA generally differ.

Top: segment AB with two endpoints. Bottom: ray AB beginning at A and extending through B.

Formulas

$\overline{AB}$
$\overrightarrow{AB}$

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1

Segments and Rays

Objective: Distinguish a segment from a ray.

A segment contains two endpoints and every point between them. A ray begins at one endpoint and extends indefinitely through another point. Ray AB and ray BA generally differ.

Top: segment AB with two endpoints. Bottom: ray AB beginning at A and extending through B.

Formulas

$\overline{AB}$
$\overrightarrow{AB}$

2

Segment Addition

Objective: Find a missing length when a point is between two endpoints.

When A, B, and C are collinear and B lies between A and C, AB + BC = AC.

Point B lies between A and C, so AB plus BC equals AC.

Formulas

$AB + BC = AC$

Worked examples

Try itIf AB = 4 and BC = 7, find AC.Show answer

AC = 4 + 7 = 11.

3

Midpoint and Segment Bisector

Objective: Find halves of a segment and identify a bisector.

M is the midpoint of segment AB if M lies on AB and AM = MB. A segment bisector intersects a segment at its midpoint.

M is centered between A and B. Matching tick marks show AM and MB are congruent.

Formulas

$AM = MB = AB/2$

Worked examples

Try itIf AB = 18 and M is the midpoint, find AM.Show answer

AM = 18/2 = 9.

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