Use segments and congruence

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Presentation transcript:

Use segments and congruence Lesson 1.2 Use segments and congruence

Objective Use segment postulates to identify congruent segments.

Standard 1.0 – Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning.

Academic Language

Postulate or axiom A rule that is accepted without proof

Postulate 1 The points on a line can be matched one to one with real numbers

Coordinate Points Coordinates the real number that corresponds to a point Points A B X1 X2 Coordinates

Distance The absolute value of the difference of 2 points A and B, written as AB AB A B X1 X2

Example 1 What is the distance between points S and T? S T 2 5.4

Indy Practice What is the distance between points A and B? A B -4 7

Adding Segment Lengths When 3 points are collinear, you can say that one point is between the other two. Example D F C E B A Which point is between? Why?

Postulate 2 – Segment addition Postulate If B is between A and C, then AB + BC = AC If AB + BC = AC, then B is between A and C AC A B C AB BC

The Real World The cities Lubbock, Tulsa, and St. Louis lie approximately in a straight line on a map. Tulsa is between Lubbock and St. Louis, 380 miles from Lubbock and 360 miles from St. Louis. Find the distance from Lubbock, Texas to St. Louis, Missouri

Indy Practice 1. Find the length of XZ 2. WY = 30. Can you use segment addition to find the distance between W and Z? Explain 23 50 X Y Z W

More Practice Find GH 36 F 21 G H

Congruent Segments Line segments that have the same length

Example Plot J(-3, 4) K(2, 4) L(1, 3) M(1, -2) Congruent?

Homework p.12 #1, 2, 3, 11, 13, 17, 21, 29, 33