Prentice Hall Geometry

Chapter 6 Polygons and Quadrilaterals

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  • Lesson 3-2 Properties of Parallel Lines

    Algebra Use properties of parallel lines to find the value of x.

    1. Two triangles share a vertex, with corresponding adjacent sides measuring, with a set of parallel corresponding sides, adjacent to corresponding angles measuring (x + 9) degrees and (2x minus 21) degrees.
    2. A quadrilateral has two and bottom sides parallel, with left interior angles measuring (3x minus 14) degrees and (2x minus 16) degrees.
    3. A transversal intersects two parallel lines, forming X-shaped intersections. The top angle at the top intersection is 5x degrees, and bottom angle of the bottom intersection is (176 minus 3x) degrees.
  • Lesson 3-3 Proving Lines Parallel

    Algebra Determine whether eh b bar is parallel to c d bar , .

    1. Triangles ABC and DCB share side BC.
    2. Triangle ABF, with angle A measuring (3x + 18) degrees, is divided by segment CD, from C on side AF to D on side BF, forming triangle CDF with interior angles 4x degrees at C, 3x degrees at D, and 2x degrees at F.
    3. A transversal intersects horizontal lines AB and CD. Left of the transversal, the angle above AB measures (2x + 11) degrees. Right of the transversal, the angle below AB measures (3x minus 9) degrees and the angle above CD measures (6x + 9) degrees.
  • Lesson 3-8 Using Slope to Determine Parallel and Perpendicular Lines

    Algebra Determine whether each pair of lines is parallel, perpendicular, or neither.

    1. y equals , minus 2 x semicolon y equals negative , 2 x plus 4
    2. y equals negative , 3 fifths , x plus 1 semicolon y equals , 5 thirds , x minus 3
    3. 2 x minus . 3 y equals 1 semicolon 3 x minus . 2 y equals 8
  • Lessons 4-2 and 4-3 Proving Triangles Congruent

    Determine the postulate or theorem that makes each pair of triangles congruent.

    1. Triangles ABC and DCA share side AC, with sides AD and CB parallel and sides AB and CD parallel.
    2. A triangle is divided by a perpendicular bisector into two right triangles with a set of congruent legs.
    3. Two right triangles share a vertex, with a set of legs and the hypotenuses forming straight lines, and the other set of legs congruent.

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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