Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

Tell what type(s) of symmetry each figure has. If it has line symmetry, sketch the figure and the line(s) of symmetry. If it has rotational symmetry, tell the angle of rotation.

  1. A parallelogram has the pair of opposite vertices aligned vertically closer together than the pair of opposite vertices aligned horizontally.
  2. A trapezoid has short base centered over the longer base.
  3. A figure has equal curves extending from right of the top side, the top of the left side, the left of the bottom side, and bottom of the right side.
  4. A hexagon has six equal sides.
  5. A figure has a diagonal section extending down to the right, with equal shapes falling from the top left of the diagonal and rising from the bottom right of the diagonal.
  6. A hexagon appears to have one pair of congruent sides.
  7. A right triangle appears to have congruent legs on the bottom and right.
  8. A figure is a circle.
  9. A circle is divided by six equal curves meeting at the center.
  10. A figure has top and bottom sides congruent, two congruent sides meeting at a vertex on the left, and right side curving outward.
  11. A figure is shaped like the outline of two congruent, overlapping squares, with top section of the left side of the top right square congruent with the bottom section of the right side of the bottom left square.
  12.   A figure is shaped like the outline of two congruent rectangles, one vertical and one horizontal, with their middle sections overlapping.

Determine how many lines of symmetry each type of quadrilateral has. Include a sketch to support your answer.

  1. rhombus
  2. kite
  3. square
  4. parallelogram

See Problem 3.

Tell whether the subject of the photo has reflectional symmetry in a plane, rotational symmetry about a line, or both.

  1. A sand dollar is a circle with five congruent petal shapes extending out from the center at equal distances apart.
  2. A square photograph shows the head of a leopard with neck extending from the bottom right.

B Apply

  1. Alphabets Use the letters of the alphabets below.

    English: ABCDEFGHIJKLMNOPQRSTUVWXYZ

    Greek:

    1. Copy the table. Classify the letters of the alphabets. You will list some letters in more than one category.
    2. Which alphabet has more symmetrical letters? Explain.
    Alphabet Symmetry
      Type of Symmetry
    Language Horizontal Line Vertical Line Point
    English white square white square white square
    Greek white square white square white square

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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