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# Geometry 2.2 Segments - PowerPoint PPT Presentation

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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## PowerPoint Slideshow about ' Geometry 2.2 Segments' - caleb-holmes

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### Geometry 2.2Segments

• 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

• 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.

• If AB = 7 and BC= 12..

• Find AC

• AB + BC = AC

• 7 + 12 =

A

B

C

19

• If PQ = 18 and QR = 15...

• Find PR

• PQ + QR = PR

• 18 + 15 =

P

Q

R

33

• If LM = 22 and LN = 41...

• Find MN

• LM + MN = LN

• 22 + MN = 41

• MN = 41 – 22 =

L

M

N

19

• If three points are collinear and ...

• AD = 2 ED = 5 AE = 7

• What point is in the middle?

• If three points are collinear and ...

RS = 45 TS = 25 RT = 20

• What point is in the middle?

• 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 !!!

• XY = 15

• XZ = 7

• YZ = 22

• THE SMALL ONES ARE XY AND XZ

• THEY BOTH HAVE X

• SO X IS IN THE MIDDLE

• DR = 45

• GR = 19

• Dg = 26

• THE SMALL ONES ARE GR AND DG

• THEY BOTH HAVE G

• SO G IS IN THE MIDDLE

• 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?