Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.

  1. Triangles FGH and KJH share vertex H, with sides FG and KJ parallel.
  2. Triangle MPR has a right angle at P with side MP measuring 6 and side PR measuring 10. Triangle NAD has a right angle at A with side NA measuring 6 and side AD measuring 8.
  3. Triangle RST has segment PQ forming triangle PSQ, with side SP measuring 24, segment PR measuring 12, side SQ measuring 16, and segment QT measuring 8.
  4. Triangle JKL has side JK measuring 32, side KL measuring 45, and side JL measuring 60. Triangle QRP has side QR measuring 22, side RP measuring 30, and side QP measuring 40.
  5. Triangle SUN has angle S 25 degrees and angle N 35 degrees. Triangle RAY has angle A 110 degrees and angle Y 35 degrees.
  6. Triangle ABC has side AB measuring 24, side BC measuring 22, and side AC measuring 18. Triangle GHK has side GH measuring 9, side GK measuring 11, and side HK measuring 12.

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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