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We’re going to grade homework first today

We’re going to grade homework first today. Please get it out and be ready when the bell rings. Thanks . Measuring. Pick 6 strips of paper from the container. Get a ‘ruler’. With your partner, please measure and record the measurements of the items you chose from the bucket.

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We’re going to grade homework first today

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  1. We’re going to grade homework first today Please get it out and be ready when the bell rings. Thanks

  2. Measuring • Pick 6 strips of paper from the container. • Get a ‘ruler’. • With your partner, please measure and record the measurements of the items you chose from the bucket. • Your measurements need to be as accurate as possible – NOT ESTIMATES.

  3. Measuring Length

  4. -3 -2 -1 0 1 2 3 4 5 6 7 ABSOLUTE VALUE!!! How do you measure distance on a number line? What is the distance between -2 and 3 5 What mathematical operation makes all answers positive? 5 What is the distance between -2 and -7 12 What is the distance between 5 and 17 5 What is the distance between 0 and -5 What is the distance between 10 and -3 13 Notice that all the DISTANCES ARE POSITIVE!

  5. b a Measuring length • On a number line, the distance between the coordinates a and b is |a-b| or |b-a|. • This will give you the measure of the segment. WRITE THIS DOWN

  6. -3 -2 -1 0 1 2 3 4 5 6 7 Notation for MEASURE of a segment mXY or XY If you use the bar, use the m. If you don’t use the bar, don’t use the m In this notation, we are talking about the LENGTH of the segment NOT the segment itself. X Y Z mXY = |-3 - 0| = |-3| = 3 XZ = |-3 - 4| = |-7| = 7

  7. ~ = A B E C D CONGRUENT • Means the same size and same shape • The congruent symbol is= • Means the same size and same shape • The congruent symbol is= ~ ~ A B C D AB CD

  8. Segment Congruence Postulate • If two segments are congruent, then they have the same measure. • The converse is also true : If two segments have the same measure, then they are congruent. • Are you able to write a biconditional? • Remember…. A biconditional IS A DEFINITION

  9. The converse is also true: • If AC = BD then AC BD Without the bar means NUMBER AC is a NUMBER AC is NOT ~ ~ = = A B E C D Important notation • If AC BD then AC = BD • This says: if the segments are CONGRUENT then the measures are EQUAL.

  10. P R Q AC = 25 A B C 3 5 A B C x 3x + 1 Find the measure of each segment and CHECK YOUR ANSWER Segment Addition Postulate If point R is between points P and Q, then PR + RQ = PQ X + 3x + 1 = 25 4x + 1 = 25 4x = 24 X = 6 AB + BC = AC 3 + 5 = AC 8 = AC

  11. Let’s learn how to BISECTa segment You need • 1 piece of patty paper • straight edge • compass

  12. Your assignment 2.2/2.3 packet

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