Lesson 1 2 Linear Measures Lesson 1 21

Between Definition: X is between A and B if _______ Lesson 1 -2: Segments

Segment Definition: Part of a line that consists of two points called the _______

Congruent Segments Definition: Segments with equal lengths. (congruent symbol: ) Congruent segments can be

Example 1 Length in Metric Units Find the length of each using the ruler.

Example 2 Length in Customary Units Find the length of each ruler. using Lesson

Example 3 Find Measurements Find XY. XY is the measure of . Lesson 1

Example 4 o Find FG. o FG is the measure of Lesson 1 -2:

Example 5 Example: If C is between A and B and AC = x

Example 6 o Find x and MN if N is between M and P,

Example 7 – Congruent Segments o Are the following segments congruent? 5 in A

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Lesson 1 -2 Linear Measures Lesson 1 -21 -2: – Segments line measures Lesson and Rays 1

Between Definition: X is between A and B if _______ Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 2

Segment Definition: Part of a line that consists of two points called the _______ and all _________ them. How to sketch: How to name: AB (without a symbol) means the _______ of the segment or the ______ between points A and B. Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 3

Congruent Segments Definition: Segments with equal lengths. (congruent symbol: ) Congruent segments can be marked with dashes. If numbers are equal the objects are congruent. AB: the segment AB ( an object ) AB: the distance from A to B ( a number ) Correct notation: Incorrect notation: Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 4

Example 1 Length in Metric Units Find the length of each using the ruler. a. b. Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 5

Example 2 Length in Customary Units Find the length of each ruler. using Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 6

Example 3 Find Measurements Find XY. XY is the measure of . Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 7

Example 4 o Find FG. o FG is the measure of Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures . 8

Example 5 Example: If C is between A and B and AC = x , CB = 2 x and AB = 12, then, find x, AC and CB. Step 1: Draw a figure Step 2: Label fig. with given info. Step 3: Write an equation Step 4: Solve and find all the answers Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 9

Example 6 o Find x and MN if N is between M and P, MP = 60, = 6 x - 7, and NP = 2 x + 3. o MN Draw a figure to represent this information. Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 10

Example 7 – Congruent Segments o Are the following segments congruent? 5 in A B 3 in C 4 in D __ __ • AB, CD __ __ • AB, BD __ __ • AC, DB Lesson 1 -2: Segments and Rays Lesson 1 -2 – line measures 11