Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Which lines or segments are parallel? Justify your answer.

  1. Two nearly vertical lines intersect two nearly horizontal lines, at B, C, G, and E, from top left intersection clockwise. The top right angle at G is equal to the top right angle at E.
  2. Two rays connected by a horizontal segment, at S on the left and T on the right, intersect a horizontal line above at P on the left and Q on the right. A diagonal connects P and T. The bottom left angle at P is equal to the bottom left angle at Q.
  3. Triangles MCA and AHR are connected at corner A with MA and AR horizontal and C and H above. Angle A in MCA and angle R in AHR are each 45 degrees.
  4. Segment JKLM is connected to segment QRST below to form a quadrilateral, divided into parts by KR and LS. The top angle left of KR is equal to angle M.

See Problem 2.

  1. Developing Proof Complete the flow proof below.

    Given: angle 1  and angle 3  are supplementary.

    Prove: eh vertical linevertical line b

    A diagonal transversal intersects two nearly horizontal lines, a above b. Above a, angle 1 is left of the transversal and angle 2 right of the transversal. Angle 3 is above b right of the transversal.

    A flow proof has five incomplete parts.
    Image Long Description


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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