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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