Lesson 1 - Dorchester School District Two
Friday, January 31, 2020
Lesson 1.2
Segments and Congruence
Segments and their Measure
The Ruler Postulate
The points on a line can be matched one to one with the real numbers.
?A
?B
The real number that corresponds to a point is the coordinate of the point
What is the coordinate of:
1) Point A = 1 2) Point B = 4.5
Segments and their Measure
Distance between point A and B in symbol is AB
AB = | coordinate of A - coordinate of B|
Example: Find the distance between the given points
1.)
?A
?B
Solution: AB = | coordinate of A - coordinate of B|
AB = | 1 - 4.5 | = |-3.5 | = 3.5
Segments and their Measure
Distance between point A and B in symbol is AB
AB = | coordinate of A - coordinate of B|
Example: Find the distance between the given points
2.)
G
R
A
C E
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Find: AG GR AE
=| 2 - -7 | = |9| = 9 =|-7 - -3 | = |-4| = 4 =| 2 - 7 | = |-5| = 5
Segments and their Measure
Distance between point A and B in symbol is AB
AB = | coordinate of A - coordinate of B|
Try it yourself: Find the distance between the given points
3.)
G
R
A
C E
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Find: CG ER EG
=| 6 - -7 | = |13| = 13 =| 7 - -3 | = |11| = 11 =| 7 - -7 | = |14| = 14
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