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Chapter 1-4 Angles and Segments

Chapter 1-4 Angles and Segments. To Use and apply the Segment Addition Postulate and Angle Addition Postulate To classify angles. 1.4 Congruent Segments and Congruent Angles. If 2 segments are ≅, they are = in length. If 2 angles are ≅, they are equal in size.

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Chapter 1-4 Angles and Segments

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  1. Chapter 1-4 Angles and Segments To Use and apply the Segment Addition Postulate and Angle Addition Postulate To classify angles

  2. 1.4 Congruent Segments and Congruent Angles If 2 segments are ≅, they are = in length. If 2 angles are ≅, they are equal in size.

  3. Measuring & comparing segments -9 -7 -2 0 2 3 6 9 A B C D E F G H Compare 1. AB ___ EF2. BC____EG 3. CD ___DE

  4. Segment Addition Postulate AB + BC = AC i.e. the parts = the whole

  5. M A N 1. If MA = 12 and AN = 11, then MN =______ 2. If MN = 38 and AN = 22, then MA = ______

  6. Midpoint of a segment A point that divides a segment into 2 congruent parts.

  7. A line, line segment, ray or plane that intersects a segment at its midpoint Segment Bisector

  8. How many midpoints can a segment have? How many segment bisectors can a segment have?

  9. There are an infinite number of segment bisectors.

  10. Find a, HO, and OT.

  11. Find x and AB, BC and AC. What are the coordinates of B if C’s coordinate is 70?

  12. W X Y Z T R -14 -8 -2 0 4 9 Find the possible coordinates of M if YM = 5. Find the possible coordinates of E on YR if YE = 9

  13. 1st Part of section1.4 Assign pp. 29-31 (1-15 all, 29-35 all) • Assignments

  14. Part II • Angles

  15. What is an angle? How do you name the following angle? Angle - the union of 2 noncollinear rays whose intersection is a point called the vertex. A <ABC or <CBA or <B B C

  16. When naming an angle remember……. • The vertex point must always be in the middle • A point from each ray should be on either side of the vertex point • You can name an angle with the vertex pt if it is the only angle at the vertex

  17. Given < ABC • Vertex is B • Ray BA • Ray BC • Can be named <CBA or <B

  18. Classify Angles • Acute angles- angles less than 90 degrees • Right angles- angles whose measure = 90 degrees • Obtuse angles- angles greater than 90 degrees • Straight angles- angles = 180 degrees (a straight line)

  19. Draw an example of each type of angle. 1. 2. 3. 4.

  20. Complementary Angles 2 angles whose sum is 90

  21. Supplementary Angles Two angles whose sum is 180.

  22. Adjacent Angles Two angles that have a common ray, a common vertex, and no common interior points. H P 1 2 E L

  23. Linear Pair Two angles that are adjacent and supplementary. D 1 2 A B C

  24. Angle Addition Postulate m < 1 + m < 2 = m <TAP

  25. Find x and the measure of the 2 angles. Definition of Linear Pair

  26. Find x and each angle. Explain your answer. Definition of complementary angles.

  27. Find x and the measure of each angle.

  28. m < AOB = 4x + 3, m < BOC = 7X, m < AOD = 16X -1 Solve for x and find the angle measures.

  29. Assignments 2nd part of 1.4 Pgs 30-33 (16-19,27-28,70-72,75-78)

  30. Notebook Quiz 1. Write an equation for the following.

  31. 2. Write an equation for the following:

  32. Draw a picture to demonstrate each of the following: 3. Complementary Angles 4. Linear Pair

  33. Notebook Quiz 1. Write an equation for the following.

  34. 2. Write an equation for the following:

  35. Draw a picture to demonstrate each of the following: 3. Complementary Angles 4. Linear Pair

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