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Congruent Segments

Congruent Segments. What You'll Learn. You will learn to identify congruent segments and find the midpoints of segments. Congruent Segments. What You'll Learn. You will learn to identify congruent segments and find the midpoints of segments.

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Congruent Segments

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  1. Congruent Segments What You'll Learn You will learn to identify congruent segments and find the midpoints of segments.

  2. 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 ________ _________

  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

  4. 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

  5. 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

  6. S B A C R P Q Congruent Segments

  7. S B A C R P Q Congruent Segments

  8. S B A C R P Q Congruent Segments

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

  10. 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.

  11. 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 ________.

  12. 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

  13. 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.

  14. 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.

  15. 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.

  16. 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.

  17. 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.

  18. 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.

  19. 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.

  20. Congruent Segments There is a unique point on every segment called the _______.

  21. Congruent Segments There is a unique point on every segment called the _______. midpoint

  22. 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 S M T Congruent Segments There is a unique point on every segment called the _______. midpoint What do you notice about SM and MT?

  23. 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 S M T Congruent Segments There is a unique point on every segment called the _______. midpoint What do you notice about SM and MT?

  24. 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

  25. Congruent Segments

  26. M S T Congruent Segments SM = MT

  27. M S T Congruent Segments SM = MT The midpoint of a segment separates the segment into two segments of_____ _____.

  28. M S T Congruent Segments SM = MT The midpoint of a segment separates the segment into two segments of_____ _____. equal length

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

  30. 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 _________.

  31. In the figure, B is the midpoint of . C B A 2x 5x - 6 Congruent Segments Find the value of x.

  32. In the figure, B is the midpoint of . C B A 2x 5x - 6 Congruent Segments Find the value of x. Since B is the midpoint: AB = BC

  33. In the figure, B is the midpoint of . C B A 2x 5x - 6 Congruent Segments Find the value of x. Since B is the midpoint: AB = BC Write the equation involving x: 5x – 6 = 2x

  34. In the figure, B is the midpoint of . C B A 2x 5x - 6 Congruent Segments Find the value of x. Since B is the midpoint: AB = BC Write the equation involving x: 5x – 6 = 2x 5x – 2x – 6 = 2x – 2x Solve for x:

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

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

  37. 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

  38. 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

  39. Congruent Segments To bisect something means to separate it into ___ congruent parts.

  40. Congruent Segments To bisect something means to separate it into ___ congruent parts. two

  41. Congruent Segments To bisect something means to separate it into ___ congruent parts. two The ________ of a segment bisects the segment because it separates thesegment into two congruent segments.

  42. 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.

  43. 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.

  44. 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.

  45. 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.

  46. 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.

  47. 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.

  48. Congruent Segments End of Lesson

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