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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Geometry 2.2 Segments

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Geometry 2 2 segments

Geometry 2.2Segments


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?


2 2 4 7 10 22

2.24-7, 10-22


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