Prentice Hall Geometry

Chapter 8 Right Triangles and Trigonometry

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  • Lesson 7-1 Solving Proportions

    Algebra Solve for x. If necessary, round answers to the nearest thousandth.

    1. 0.2734 , equals , x over 17
    2. 0.5858 , equals , 24 over x
    3. 0.8572 , equals , 5271 over x
    4. 0.5 equals . fraction x , over 3 x plus 5 end fraction
  • Lesson 7-3 Proving Triangles Similar

    Name the postulate or theorem that proves each pair of triangles similar.

    1. c d bar , double vertical bar . eh b bar

      Triangles ABE and DCE share vertex E, with AD and BC straight.

    2. A large triangle has sides measuring 9.6, 21, and 27. A smaller triangle has sides measuring 6.4, 14, and 18.
    3. j k bar , up tack , m l bar

      Triangle KMN has side KN on side KJ of triangle KLJ. Side MK, measuring 21, forms a straight segment with side LK, measuring 28. Side KN measures 15 and segment NJ measures 5.

  • Lesson 7-4 Similarity in Right Triangles

    Algebra Find the value of x in cap delta eh b c with right angle c and altitude c d bar , .

    1. Triangle ABC is divided by a segment measuring x from C to D on side AB, creating triangles ACD and BCD, with side AD measuring 9 and side BD measuring 16.
    2. Triangle ABC is divided by a segment measuring from C to D on side AB, which measures 32, creating triangles ACD and BCD, with side BC measuring 16 and side BD measuring x.
    3. Triangle ABC is divided by a segment from C to D on side AB, creating triangle ACD and BCD, with side AC measuring x, side AD measuring 4, and side BD measuring 9.
    4. Triangle ABC is divided by a segment from C to D on side AB, creating triangles ACD and BCD, with side AD measuring 16, side BC measuring 15, and side BD measuring x.

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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