Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Identify three pairs of parallel segments in each diagram.

  1. Triangle TVX has midsegments connecting midpoints U on side TV, W on side VX, and Y on side TX, forming triangle UWY.
  2. Triangle FHK has midsegments connecting midpoint G, dividing side FH into two segments measuring 5, midpoint J, dividing side HK into two segments measuring 6, and midpoint L, dividing side FK into two segments measuring 7.

Name the segment that is parallel to the given segment.

  1. eh b bar
  2. b c bar
  3. e f bar
  4. c eh bar
  5. g e bar
  6. f g bar

Triangle ABC has midsegments connecting midpoint G on side AB, midpoint F on side AC, and midpoint E on side BC.

See Problem 2.

Points E, D, and H are the midpoints of the sides of cap delta t u v . u v equals 80 comma t v equals 100 comma , and h d , equals 80 .

  1. Find HE.
  2. Find ED.
  3. Find TU.
  4. Find TE.

Triangle TUV has segments connecting E on side TU, D on side UV, and H on side TV.

Algebra Find the value of x.

  1. A triangle with a side measuring 26 has segments connecting each side. The midsegment connecting the other two sides measures x.
  2. A triangle has a side measuring 45. The midsegment connecting the midpoints of the other two sides measures 5x.
  3. A triangle has a side measuring 72. The midsegment connecting the midpoints of the other two sides measures 6x.

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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