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Geometry 2.2 Segments

Geometry 2.2 Segments. Silly Properties. Reflexive Property For any number a: a=a Symmetric Property For any a and b: if a=b then b=a Transitive Property For any a, b, and c: if a=b and b=c then a=c. Silly Properties. Addition and Subtraction Property

caleb-holmes
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Geometry 2.2 Segments

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  1. Geometry 2.2Segments

  2. Silly Properties • Reflexive Property • For any number a: a=a • Symmetric Property • For any a and b: if a=b then b=a • Transitive Property • For any a, b, and c: if a=b and b=c then a=c

  3. Silly Properties • Addition and Subtraction Property • For numbers a, b, c: if a=b then a+c=b+c • Multiplication and Division Property • For numbers a, b, c: if a=b then axc=bxc • Substitution Property • For numbers a, b: if a=b then a can go anywhere that b is.

  4. Line Segment Stuff • If AB = 7 and BC= 12.. • Find AC • AB + BC = AC • 7 + 12 = A B C 19

  5. Line Segment Stuff • If PQ = 18 and QR = 15... • Find PR • PQ + QR = PR • 18 + 15 = P Q R 33

  6. Line Segment Stuff • If LM = 22 and LN = 41... • Find MN • LM + MN = LN • 22 + MN = 41 • MN = 41 – 22 = L M N 19

  7. What is in the middle? • If three points are collinear and ... • AD = 2 ED = 5 AE = 7 • What point is in the middle?

  8. What is in the middle? • If three points are collinear and ... RS = 45 TS = 25 RT = 20 • What point is in the middle?

  9. Easy way to do this... • The two short measures add up to the long one. • Look at the two shorties • The letter they have in common is in the middle !!!

  10. Let’s try • XY = 15 • XZ = 7 • YZ = 22 • THE SMALL ONES ARE XY AND XZ • THEY BOTH HAVE X • SO X IS IN THE MIDDLE

  11. Let’s try • DR = 45 • GR = 19 • Dg = 26 • THE SMALL ONES ARE GR AND DG • THEY BOTH HAVE G • SO G IS IN THE MIDDLE

  12. Let’s try • Roy to Layton is 8 miles • Layton to Salt Lake is 25 miles • Roy to Salt Lake is 33 miles • Which city is in the middle?

  13. 2.24-7, 10-22

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