Daily Review1.) Name 3 collinear points2.) Name two planes that contain points E and F3.) Name another point in plane AGF4.) Name 3 different planes

A

B

C

D E

F

G

L

MN

O

Linear Measure and Precision

Eric Hoffman

Advanced Geometry

PLHS

Aug. 2007

• Line Segment – unlike a line, a line segment can be measured because it has two endpoints

• Precision – depends on the smallest unit available on the measuring tool. Measurement should be precise within 0.5 unit of measure

• Ex – if a line is measured with a ruler with ½ inch increments measurement should be within ¼ in.

5 millimeters

5.4 centimeters

5 ½ inches

8 yards

Key Topics

Precise within 4.5 and 5.5 millimeters

Precise within 4.9 and 5.9 millimeters

Precise within 5 ¼ and 5 ¾ inches

Precise within 7.5 and 8.5 yards

Key Topics• Betweenness – point M is between point P and

point Q if and only if P,Q,M are collinear and PM+MQ = PQ

P M Q

Key Topics

• Congruent – when two objects have the exact same measure– Ex. AB CD

NOTE!!! - angles and segments are congruent, distances and measures are equal

A

C

D

B

Key Topics

• Construction – method of creating geometric figures without measuring tool

• Copy this line segment

A

B

Construct a segment whose measure is 3(AB)

Construct a segment whose measure is 4(AB) – 2(CD)

C

D