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Geometry

Geometry. Advice from former students: “Do your homework. If you don’t you won’t know what you need help on.”. Today: Homework Questions 1.2 Instruction Practice. A. line X B. line c C. line Z D. EXAMPLE. Use the figure to name a line containing the point X. B. A. B. C. D.

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Geometry

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  1. Geometry Advice from former students: “Do your homework. If you don’t you won’t know what you need help on.” Today: • Homework Questions • 1.2 Instruction • Practice

  2. A.line X B.line c C.line Z D. EXAMPLE Use the figure to name a line containing the point X.

  3. B. A. B. C. D. EXAMPLE

  4. EXAMPLE A. 2 mm B. 1.8 mm C. 18 mm D. 20 mm

  5. EXAMPLE Name three points that are collinear. A.B, O, and X B.X, O, and N C.R, O, and B D.A, X, and Z

  6. 1.2 Linear Measure   Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Mathematical Practices 6 Attend to precision.

  7. 1.2 Linear Measure   You identified and modeled points, lines, and planes. • Measure segments. • Calculate with measures.

  8. 1.2 Linear Measure   Objectives: • Sketch relationships in Geometry. • Use the segment addition postulate • Know the differences between congruence and equality Vocabulary: line segment, ray, distance, betweenness, congruent

  9. A • 4 -5 0 1.2 Linear Measure   Vocabulary Distance: how far apart two points are. Also known as length. NOTE: length or distance is always positive. B • A is 5 units from the origin. B is 4 units from the origin AB = 9 units

  10. 1.2 Linear Measure   A B C What is the length of ? How do you know? 5.4 cm 3.2 cm Reason: Segment Addition Postulate AB + BC = AC 5.4 + 3.2 = 8.6

  11. 1.2 Linear Measure   12 in Find RS. No line means measure. S 6 in Q R By SEGMENT ADDITION POSTULATE (SAP)… QR + RS = QS Plug in and solve. QR = 6 in Put back in picture.

  12. 1.2 Linear Measure   12 in Since QR = 6in and RS = 6in, QR = RS. No line means measure, use equals sign. S 6 in Q R 6 in Vocabulary Two segments with equal measure are congruent. Notation:

  13. congruent: items that are the same size and shape. Use the symbol . = means same size means same shape means same shape and size ~ ~ =

  14. Assignment • Section 1.1-1.2 Review p 78 #1-10 • Get supplies Advise from former students: “Do your homework. If you don’t you won’t know what you need help on.”

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