Prentice Hall Geometry

C Challenge

Algebra Find the value of x in the rhombus.

  1. A rhombus has a diagonal from bottom left to top right, forming two triangles. The left triangle has bottom left angle measuring (7x squared minus 10) degrees and top right angle measuring (6x squares minus 3x) degrees.
  2. A rhombus has two diagonals forming four triangles. The left triangle has top left angle measuring (2x squared minus 25x) degrees. The bottom triangle has bottom left angle measuring (3x squared + 60) degrees.

Standardized Test Prep

SAT/ACT

  1. Which statement is true for some, but not all, rectangles?
    1. Opposite sides are parallel.
    2. It is a parallelogram.
    3. Adjacent sides are perpendicular.
    4. All sides are congruent.
  2. A part of a design for a quilting pattern consists of a regular pentagon and five isosceles triangles, as shown. What is m angle 1 question mark

    A star-shaped pattern consists of a pentagon with a triangle on each side. Angle 1 is inside one triangle, opposite the side on the pentagon.

    1. 18
    2. 36
    3. 72
    4. 108
  3. Which term best describes eh d bar in cap delta eh b c question mark

    Triangle ABC has a segment from A meeting side BC at a right angle at D.

    1. altitude
    2. angle bisector
    3. median
    4. perpendicular bisector

Short Response

  1. Write the first step of an indirect proof that cap delta p q r is not a right triangle.

Mixed Review

See Lesson 6-3.

Can you conclude that the quadrilateral is a parallelogram? Explain.

  1. A quadrilateral has left and right sides measuring 4 and top and bottom sides measuring 5.
  2. A quadrilateral has top and bottom sides measuring 6. A diagonal from bottom left to top right forms 25-degree angles between the left and right sides.
  3. Quadrilateral ABCD has two diagonals bisecting each other.

See Lesson 5-1.

In cap delta p q r comma points S, T, and U are midpoints. Complete each statement.

Triangle PQR has a triangle with vertices at midpoints S on side PR, T on side RQ, and U on side PQ. Segment PS measures 5, segment RT measures 6, and segment ST measures 8.

  1. t q equals , modified under bar with question mark above
  2. p q equals , modified under bar with question mark above
  3. t u equals , modified under bar with question mark above
  4. s u bar . parallel to , modified under bar with question mark above
  5. t u bar . parallel to , modified under bar with question mark above
  6. p q bar . parallel to , modified under bar with question mark above

See Lesson 6-4.

Get Ready! To prepare for Lesson 6-5, do Exercises 68 and 69.

  1. Draw a rhombus that is not a square.
  2. Draw a rectangle that is not a square.

End ofPage 382

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