1 / 9

Lesson 3 : (1.5 ) Measuring Segments (1.6) Measuring Angles

Lesson 3 : (1.5 ) Measuring Segments (1.6) Measuring Angles. “Keep in mind that the true measure of an individual is how he treats a person who can do him absolutely no good.” -Ann Landers. What are we learning?. Students will…

wang-pruitt
Download Presentation

Lesson 3 : (1.5 ) Measuring Segments (1.6) Measuring Angles

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Lesson 3: (1.5)Measuring Segments (1.6) Measuring Angles “Keep in mind that the true measure of an individual is how he treats a person who can do him absolutely no good.” -Ann Landers

  2. What are we learning? • Students will… • find the measures of segments as well as angles using the segment addition and the angle addition postulates. Evidence Outcome: Students will express properties with equations (coordinate geometry). (HS 4.3a) Purpose (Relevancy): The highway can be seen as a number line. By applying the segment addition postulate, a person could find the distance from one exit to another.

  3. Postulate 1-5 The Ruler Postulate: The points of a line can be put into one-to-one correspondence with the real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers The distance between points A and B on the ruler is 7. To find the length of AB, find the absolute value of the difference of the coordinates of A and B, called “a” and “b.” AB = |a - b| A B

  4. Postulate 1-5 The Ruler Postulate: The distance between any two points is the absolute value of the difference of the corresponding numbers Example: Using AB = |a - b| Find: DE EG DG E G D -7 5 -2 0

  5. Congruence Congruent Segments: Segments that have the same length Example: Which of the following are congruent? How do we show congruence? If AB = CD, then AB ≅ CD AB ≅ CD = B 3 in. = C 4 in. A 3 in. E F D

  6. Postulate 1-6 Segment Addition Postulate: If 3 points, A, B, and C, are collinear and B is between A and C, then AB + BC = AC A B C Example: If XZ = 88, find the value of x. Then find the values of XY and YZ 3x - 2 4x + 6 X Y Z

  7. Types of Angles Acute Angle: less than 90° Right Angle: Exactly 90° Straight Angle: exactly 180° Obtuse Angle: more than 90°

  8. Postulate 1 - 8 Angle Addition:If point B is in the interior Of <AOC, then <AOB + <BOC = <AOC B A O C Example:If <POW is 97°and <POQ is 29o, what is <QOW Q P W O

  9. Lesson 3: (1.5) Measuring Segments (1.6) Measuring Angles HW: Pgs. 33-34; 6-14 e, 20-23, 35-37 Pgs. 40-41; 1-14 a “Keep in mind that the true measure of an individual is how he treats a person who can do him absolutely no good.” -Ann Landers

More Related