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Geometry Class Review: Measuring Segments and Postulates

In yesterday's geometry class, we achieved an impressive 88% on the Bell Question review. Students gained extra credit through participation, focusing on critical concepts such as measuring distances between points, the Ruler Postulate, and the Segment Addition Postulate. Essential examples emphasized calculating segment lengths and congruence. Additional homework involves even-numbered problems from page 24 and finishing examples in notes. For extra assistance, students can meet with their teachers before or after school for support in mastering the material.

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Geometry Class Review: Measuring Segments and Postulates

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  1. Bell Question: Review Yesterday's Bell Question 1. Please answer the following

  2. Bell Question

  3. Room Activity: Class Results: 88% Answers Vocabulary Activity Results: Extra Credit Gained? YES

  4. Page 7 answers: # 4, 6-8, 10, 14, 18, # 21, 22, 27, 32, 34-38a Page 16 answers: # 8-11, (12-36 evens) # 40-45 # 53-58 – do on graph paper. #66, 69, 72, 75, 78

  5. Where to find help: Before School: Mr. Bloch AAA: Mr. Boggess A111 After School: Mrs. Bauman Can sign up for Bison Time as well.

  6. Measuring Segments D F A

  7. Postulate 1-5 "Ruler Postulate" point Every ________ on a line can be paired with a real number called the coordinate of the __________. point Remember to add to notes and postulate sheet What do this really mean? We can measure the distance between points using a ruler or the coordinates (locations) or the points. Lets look at a few examples.

  8. Ex. What is ST? S R T V 10 8 9 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 B A Distance Formula: a b AB = |a - b| Now lets try for ST.

  9. S R T V 10 8 9 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 ST = 12 RT = ? TV = ? What is RV?

  10. Congruent Congruent When two segments have the same length, they are called _____________ The geometric symbol for congruence is ______ C A B

  11. Postulate 1-6 "Segment Addition Postulate" If three __________ A, B, and C are collinear and B is between A and C, then AB + BC = AC A B C

  12. Ex. If EG = 59, what are EF and FG? G E F 4x + 1 8x - 14 EF + FG = EG 8x - 14 = EF 4x + 1 = FG 8(6) -14 = EF 4(6) +1 = FG (8x - 14) + (4x + 1) = 59 48 -14 = EF 24 + 1 = FG 12x - 13 = 59 34 = EF 25 = FG 12x = 72 x = 6

  13. Ex. In the diagram, JL = 120. What are JK and KL? * J K L 7x +15 4x + 6 JK + KL = JL 4x + 6 = JK 7x +15 = KL (4x + 6) + (7x +15) = 120 4(9) +6 = JK 7(9) +15 = KL 11x + 21 = 120 36 + 6 = JK 63 +15 = KL 42 = JK 11x = 99 78 = KL x = 9

  14. Finish examples 4 and 5 in your notes.

  15. Homework: Page 24 #'s 8-28 evens, 36, 40, 43-44, 48-53

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