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Geometry 2.2 Segments

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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

- 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.

- 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?

2.24-7, 10-22