Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Determine whether cap delta eh b c is scalene, isosceles, or equilateral. Explain.

  1. A graph of triangle ABC has vertices A(negative 2, 3), B(2, 2), and C(negative 2, negative 1).
  2. A graph of triangle ABC has vertices (1, 3), B(3, negative 1), and C(negative 2, 0).
  3. A graph of triangle ABC has vertices A(1, 3), B(3, 1), and C(negative 2, negative 2).

See Problem 2.

Determine whether the parallelogram is a rhombus, rectangle, square, or none. Explain.

  1. P( negative 1 comma 2), O(0, 0), S(4, 0), T(3, 2)
  2. L(1, 2), M(3, 3), N(5, 2), P(3, 1)
  3. r open minus , 2 comma negative 3 close comma S(4, 0), T(3, 2), v open minus , 3 comma negative 1 close
  4. G(0, 0), H(6, 0), I(9, 1), J(3, 1)
  5. w open minus , 3 comma 0 close comma I(0, 3), N(3, 0), d open 0 comma negative 3 close
  6. S(1, 3), P(4, 4), A(3, 1), T(0, 0)

See Problem 3.

What is the most precise classification of the quadrilateral formed by connecting in order the midpoints of each figure below?

  1. parallelogram PART

    A graph of parallelogram PART has vertices P(negative 3, 0), A(3, 2), R(1, negative 2), and T(negative 5, negative 4).

  2. rectangle EFGH

    A graph of rectangle EFGH has vertices E(0, 2), F(negative 2, 1), G(0, negative 3), and H(2, negative 2).

  3. isosceles trapezoid JKLM

    A graph of trapezoid JKLM has vertices J(negative 2, 4), K(2, 4), L(4, 0), and M(negative 4, 0).


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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