geometry 2 2 segments
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Geometry 2.2 Segments

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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

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silly properties
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 properties1
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.
line segment stuff
Line Segment Stuff
  • If AB = 7 and BC= 12..
  • Find AC
  • AB + BC = AC
  • 7 + 12 =

A

B

C

19

line segment stuff1
Line Segment Stuff
  • If PQ = 18 and QR = 15...
  • Find PR
  • PQ + QR = PR
  • 18 + 15 =

P

Q

R

33

line segment stuff2
Line Segment Stuff
  • If LM = 22 and LN = 41...
  • Find MN
  • LM + MN = LN
  • 22 + MN = 41
  • MN = 41 – 22 =

L

M

N

19

what is in the middle
What is in the middle?
  • If three points are collinear and ...
  • AD = 2 ED = 5 AE = 7
  • What point is in the middle?
what is in the middle1
What is in the middle?
  • If three points are collinear and ...

RS = 45 TS = 25 RT = 20

  • What point is in the middle?
easy way to do this
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 !!!
let s try
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
let s try1
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
let s try2
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?
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