Prentice Hall Geometry

Visualization Without using your ruler, sketch a segment with the given length. Use your ruler to see how well your sketch approximates the length provided.

  1. 3 cm
  2. 3 in.
  3. 6 in.
  4. 10 cm
  5. 65 mm
  6. Think About a Plan The numbers labeled on the map of Florida are mile markers. Assume that Route 10 between Quincy and Jacksonville is straight.

    A map shows Quincy at mile 181, Tallahassee at 199, Monticello at 225, Madison at 251, Live Oak at 283, Lake City at 303, Macclenny at 335, and Jacksonville at 357.

    Suppose you drive at an average speed of 55 mi/h. How long will it take to get from Live Oak to Jacksonville?

    • How can you use mile markers to find distances between points?
    • How do average speed, distance, and time all relate to each other?
  7. Travel Use the map above. Suppose you drive at an average speed of 58 mi/h. How long will it take to get from Macclenny to Tallahassee?

Error Analysis Use the highway sign for Exercises 37 and 38.

  1. A driver reads the highway sign and says, “It's 145 miles from Mitchell to Watertown.” What error did the driver make? Explain.

    A sign shows 9 miles until Hudson, 65 miles until Mitchell, and 80 miles until Watertown.

  2. Your friend reads the highway sign and says, “It's 71 miles to Watertown.” Is your friend correct? Explain.

Algebra Use the diagram below for Exercises 39 and 40.

Line segments AC and EB intersect at D. Segment ED and DB each have one vertical mark. Segments AD and DC each have two vertical marks.

  1. If eh d equals 12  and eh c equals 4 y minus 36 comma  find the value of y. Then find AC and DC.

  2. If e d equals x plus 4  and d b equals 3 x minus 8 comma  find ED, DB, and EB.
  3. Writing Suppose you know PQ and QR. Can you use the Segment Addition Postulate to find PR? Explain.

C Challenge

  1. C is the midpoint of eh b bar , comma  D is the midpoint of eh c bar , comma  E is the midpoint of eh d bar , comma  F is the midpoint of e d bar , comma  G is the midpoint of e f bar , comma  and H is the midpoint of d b bar , .  If d c equals 16 comma  what is GH?
    1. Algebra Use the diagram below. What algebraic expression represents GK?

      A line contains points G, H, J, and K, from left to right. Segment GJ measures 2x + 3, segment HJ measures X, and segment HK measures 4x minus 3.

    2. If g k equals 30 comma  what are GH and JK?

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Table of Contents

Prentice Hall Geometry Chapter 1 Tools of Geometry Chapter 2 Reasoning and Proof Chapter 3 Parallel and Perpendicular Lines Chapter 4 Congruent Triangles Chapter 5 Relationships Within Triangles Chapter 6 Polygons and Quadrilaterals Chapter 7 Similarity Chapter 8 Right Triangles and Trigonometry Chapter 9 Transformations Chapter 10 Area Chapter 11 Surface Area and Volume Chapter 12 Circles Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments