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Geometry Warm-Up Questions and Examples

This text provides warm-up questions and example problems on geometry concepts such as point, line, plane, complimentary angles, supplementary angles, and simplifying expressions. Includes solutions and diagrams.

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Geometry Warm-Up Questions and Examples

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  1. Warm Up • The three undefined terms in Geometry are ______, _______, and _____. • Draw a pair of complimentary angles. • Draw a pair of supplementary angles. • Simplify the following expression

  2. Warm Up Answers • Point, Line, Plane • Answers will vary • Answers will vary • -29

  3. 1.7 Word Problems Year 2 - Geometry

  4. Example 1 • In Mrs. Hill’s perfect world, all the streets running east – west are numbered and those streets running north – south are lettered. The even numbered streets are one way east and the odd numbered streets are one way west. All the vowel lettered avenues are one way north and the rest are two way. Can a car traveling south on H Street make a legal left turn onto 8th Street?

  5. H 6th 7th YES 8th 9th Example 1 Solution • Draw a diagram.

  6. Example 2 • Mrs. Carrasco is at the bottom of a 40 foot cliff. Each hour she climbs up 10 feet, but then slides back down 5 feet during her 30 minute break. How many hours will it take Mrs. Carrasco to get to the top of the mountain? She always climbs for one hour, then rests for 30 minutes.

  7. 40 35 30 30 25 25 20 20 15 40 ft. 15 10 10 5 Example 2 Solution • Draw a diagram. Each up arrow is an hour, each down arrow is 30 minutes. 10 Hours!

  8. Example 3 • Mrs. Chesley is building a fence in her living room to keep all her kids penned up. The area she wants to enclose measures 12 feet by 8 feet. She will set the posts 2 feet apart. How many posts will she need?

  9. 12 feet 8 feet Example 3 Solution • Draw a diagram. 20 total posts!

  10. Example 4 • In the middle of a 400 meter race between faculty members, a photo is taken of the five runners. It shows Mr. Rothery 40 meters behind Mr. Rattigan. Mr. Rattigan is 30 meters ahead of Mr. Harder, who is 10 meters behind Mr. Lowery. Mr. Lowery is 100 meters behind Mr. Castillo. Who is ahead?

  11. Example 4 Solution • Draw a diagram. Mr. Castillo is ahead. 40 R G 30 H 10 L 100 L C

  12. Summary • Explain why drawing a diagram helps to solve word problems.

  13. Homework • Page 76 #2-6, 10

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