1.2 Linear Measure and Precision Objectives: Measure segments and determine accuracy of measurement. Compute with measures.
Line Segment (segment) Portion of a line with two endpoints Labeled without arrowheads: AB Can be measured since it has endpoints Include units of length when measuring
Check out p. 17 # cm or 13 mm 3.5 cm or 35 mm 2.1 ¾ in /8 in.
Assignment Pp #12-48 Do #12 – 15 now
Precision Describes how accurate a measuring tool is For the tape measure, the smallest unit was 1/16 th of an inch For the metric ruler, the smallest unit was 0.1 cm = 1 mm
Precision (con’t) If we measure using the metric ruler, and get a length of 4.7 cm, this means the precision = 0.05 cm and the actual length is somewhere between 4.65 cm and 4.75 cm If we get a length of 12 ½ inches using the tape measure ( ½ = 8/16), then the actual length is between / 32 and / 32
Do #16 – 21 now
Betweenness of Points M is between P and Q if PM + MQ = PQ P MQ
Find AC AC = AB + BC = AC = 8.5 cm ACB 3.3 cm5.2 cm
Find y and QP if P is between Q and R, QP = 2y, QR = 3y + 1, and PR = 21. 2y + 21 = 3y y -2y 21 = y = y QP = 2y = 2(20) = 40 QPR 2y21 3y + 1
Now do #