Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Use the figure below for Exercises 6–8.

Triangle JKM, with side JM measuring 9x minus 18 and side KM measuring 3x, has a segment from M bisecting side JK at a right angle at B.

  1. What is the relationship between m b bar  and j k bar , question mark
  2. What is value of x?
  3. Find JM.

See Problem 2.

Reading Maps For Exercises 9 and 10, use the map of a part of Manhattan.

A map has equal rectangular blocks between perpendicular streets.
Image Long Description

  1. Which school is equidistant from the subway stations at Union Square and 14th Street? How do you know?
  2. Is St. Vincent's Hospital equidistant from Village Kids Nursery School and Legacy School? How do you know?
  3. Writing On a piece of paper, mark a point H for home and a point S for school. Describe how to find the set of points equidistant from H and S.

See Problem 3.

Use the figure below for Exercises 12–15.

Angle KHF has interior ray HL6y degrees from ray HK and (4y + 18) degrees from ray HF. From L, equal segments, one measuring 27, meet rays HK and HF at right angles.

  1. According to the diagram, how far is L from h k vector , question mark  From h f vector , question mark
  2. How is h l vector  related to angle k h f question mark  Explain.
  3. Find the value of y.
  4. Find m angle k h l  and m angle f h l .

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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