Essential Question: How can you create formulas to find the distance between two points in all 1-D and 2-D situations?

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Presentation transcript:

Essential Question: How can you create formulas to find the distance between two points in all 1-D and 2-D situations?

Example 1 Find the length of AB. AB Example 2 Find the length of CD. CD

Postulate 2 Segment Addition Postulate If B is between A and C, the AB + BC = AC. If AB + BC = AC, then B is between A and C. ABC  Ex. 2 Find the distance from Denver to Boston (AC). DenverDetroit Boston A BC AB = 623 miles BC = 500 miles

Example 3 Find the distance from Detroit to Boston. DenverDetroit Boston A BC AB = 531 miles AC = 1021 miles

Example 4Use the segment addition postulate to find MP. (Two column Proof Format) M NOP Step Reason

Example 5Solve for all segment lengths: B is between A and C AB = 4x – 3 BC = 3x + 8 AC = 26