Horton

Geometry

Chapter 1

Date ______

Section 1.3 Segments, Rays, Parallel Lines, and Planes

Point 1: What is a segment of a line? A segment is the part of a line consisting of two ______and all points between them.

Point 2: What is a ray? A ray is the part of a line consisting of ______endpoint and all the points of the line on one side of the endpoint.

Point 3: What are opposite rays? Opposite rays are ______rays with the same endpoint. Opposite rays always form a line.

Point 4: What are parallel lines? Parallel lines are coplanar

lines that do not ______.

Point 5: What are skew lines? Skew lines are noncoplanar; therefore,

they are not ______and do not ______.

Section 1.4 Measuring Segments and Angles

Point 1: Ruler Postulate

Postulate 1-5 – The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers.

The length of AB = |a – b|

Two segments with the same length are congruent ( ) segments.

Find AB and BC.

AB = ______BC= ______

Find AC and BD

AC = ______BD = ______

Point 2: Segment Addition Postulate

Postulate 1-6- If three points A, B, and C, are collinear and B is between A and C, then AB + BC = AC.

1) If EG = 100. Find the value of x. Then find EF and FG.

E F G

Point 3: What is the midpoint of a line? A midpoint of a segment is a point that divides a segment into two ______segments. A midpoint, any line, ray, or other segment thru, a midpoint is said to ______the segment.

1) 2x + 1 3x - 4 2) Z is the midpoint of XY, and XY = 27. Find XZ.

Point 4: What is an angle and how is it formed? An angle ( ) is formed by two rays with the same ______. The rays are the ______of the angle. The endpoint is the ______of the angle.

B The sides of the angle: ______

The vertex is : ______

Name the angle the many different ways: ______

A C

Point 5: Protractor Postulate

Postulate 1-7- Let OA and OB be opposite rays in a plane, OA, OB, and all rays with endpoint O that can be drawn on one side of AB can be paired with real numbers form 0 to 180 so that

a. OA is paired with 0 and OB is paired with 180.

b. If OP is paired with x and OQ is paired with y, then m POQ = |x – y|.

You can classify angles according to their measures.

acute angle right angles obtuse angle straight angle

Point 6: Postulate 1-8 Angle Addition Postulate

Postulate 1-8- If point B is in the interior of AOC, If AOC is a straight angle, then

then, m AOB + m BOC = m AOC. m AOB + m BOC = 180.

1) If m GEF = 145, find m GEF. 2) If m GEF = 145, find m GEF.

Point 7: What are congruent angles? Angles with the ______measure are congruent angles.

If m 1 = m 2, then ______.

Homework:page (19-22)______page (29 -32) ______