Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the area of each trapezoid

  1. A trapezoid has top base 21 inches, bottom base 38 inches, and height 16 inches between them.
  2. A trapezoid has top base 24.3 centimeters, bottom base 9.7 centimeters, and height 8.5 centimeters between them.
  3. A trapezoid has left base 18 feet, right base 6 feet, and height 9 feet between them.
  4. Find the area of a trapezoid with bases 12 cm and 18 cm and height 10 cm.
  5. Find the area of a trapezoid with bases 2 ft and 3 ft and height 1 third , ft .
  6. Geography The border of Tennessee resembles a trapezoid with bases 340 mi and 440 mi and height 110 mi. Estimate the area of Tennessee by finding the area of the trapezoid.

See Problem 2.

Find the area of each trapezoid. If your answer is not an integer, leave it in simplest radical form.

  1. A trapezoid is formed by a rectangle of height 6 feet with a leg of a right triangle spanning the top side, with other leg 3 feet and hypotenuse 5 feet.
  2. A trapezoid has bottom base 15 feet, right side perpendicular to the bases, left side 8 feet, and bottom left angle 60 degrees.
  3. A trapezoid has top base 6 meters, vertical height 8 meters, right side perpendicular to the bases, and left side 10 meters.

See Problem 3.

Find the area of each kite.

  1. A kite has diagonals intersecting, with the horizontal diagonal divided into 8-inch segments and vertical diagonal divided into a 2-inch segment and an 8-inch segment.
  2. A kite has diagonals intersecting, with the vertical diagonal divided into 3-meter segments and horizontal diagonal divided into a 2-meter segment and a 4-meter segment.
  3. A kite has diagonals intersecting, with the horizontal diagonal divided into 4-foot segments, and vertical diagonal 6 feet.

See Problem 4.

Find the area of each rhombus.

  1. A rhombus has diagonals intersecting, one with a 20-foot segment and one with a 30-foot segment.
  2. A rhombus with sides measuring 10 inches has diagonals intersecting, one with an 8-inch segment.
  3. A rhombus with sides measuring 5 meters has a 6-meter diagonal.

B Apply

  1. Think About a Plan A trapezoid has two right angles, 12-m and 18-m bases, and an 8-m height. Sketch the trapezoid and find its perimeter and area.
    • Are the right angles consecutive or opposite angles?
    • How does knowing the height help you find the perimeter?

End ofPage 626

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