1-1a

1. (over Lesson 2-2) 1-1a Slide 1 of 1

2. (over Lesson 2-2) 1-1b Slide 1 of 1

3. Congruent Segments What You'll Learn You will learn to identify congruent segments and find the midpoints of segments. In geometry, two segments with the same length are called ________ _________ congruent segments they have the same length

4. S B A C R P Q Congruent Segments

5. x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 S Y R T Because RS = 4 and TY = 5, Congruent Segments Use the number line to determine if the statement is True or False. Explain you reasoning.

6. Congruent Segments Since congruence is related to the equality of segment measures, there areproperties of congruence that are similar to the corresponding propertiesof equality. These statements are called ________. theorems Theorems are statements that can be justified by using logical reasoning.

7. On the number line below, M is the midpoint of . x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 M T S Congruent Segments There is a unique point on every segment called the _______. midpoint What do you notice about SM and MT? SM = MT

8. M S T Congruent Segments SM = MT The midpoint of a segment separates the segment into two segments of_____ _____. equal length congruent So, by the definition of congruent segments, the two segments are _________.

9. In the figure, B is the midpoint of . C B A 2x 5x - 6 x = 2 Congruent Segments Find the value of x. Check! Since B is the midpoint: AB = BC AB = 5x – 6 = 5(2) – 6 = 10 – 6 = 4 Write the equation involving x: 5x – 6 = 2x 5x – 2x – 6 = 2x – 2x Solve for x: 3x – 6 + 6 = 0 + 6 3x = 6 BC = 2x = 2(2) = 4

10. E A B G C D Congruent Segments To bisect something means to separate it into ___ congruent parts. two midpoint The ________ of a segment bisects the segment because it separates thesegment into two congruent segments. A point, line, ray, or plane can also bisect a segment.

11. Congruent Segments End of Lesson