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 –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 If AB = 7 and BC= 12.. Find AC AB + BC = AC = ABC 19

Line Segment Stuff If PQ = 18 and QR = Find PR PQ + QR = PR = PQR 33

Line Segment Stuff If LM = 22 and LN = Find MN LM + MN = LN 22 + MN = 41 MN = 41 – 22 = LMN 19

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

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 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 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 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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