Bell Work

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Bell Work
GEOMETRY LESSON 6-5
Find the values of the variables. Then find the
lengths of the sides.
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6.5 Trapezoids and Kites

• Objective
• Verify and use properties of trapezoids and kites.

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Geo Board

• Use the geoboard to make an isosceles trapezoid.
• Answer the following questions by comparing your
  geoboard with your group members.
• List any segments that appear congruent.
• Are there any angles that appear congruent?
• What can you say about the diagonals?

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Theorem 6-15

• The base angles of an isosceles trapezoid are
  congruent. (sketch a diagram and label the base
  angles there are two sets of base angles)

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Theorem 6-16

• The diagonals of an isosceles trapezoid are
  congruent.

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Bell Work

• Complete each with sometimes, always, or never.
• The diagonals of a rhombus are ______ congruent.
• A square _____ has perpendicular diagonals.
• The diagonals of a trapezoid _____ bisect each
  other.
• The diagonals of a trapezoid are _____ congruent.
• The opposite angles of an isosceles trapezoid are
  _______ congruent.
• The non-parallel sides of a trapezoid _____ form
  pairs of same side interior angles.
• The diagonals of a parallelogram ______ bisect
  the angles of the parallelogram.
• The diagonals of a square _________ create 4
  pairs of congruent isosceles right triangles.

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Bell Work

• Complete each with sometimes, always, or never.
• The diagonals of a rhombus are sometimes
  congruent.
• A square always has perpendicular diagonals.
• The diagonals of a trapezoid never bisect each
  other.
• The diagonals of a trapezoid are sometimes
  congruent.
• The opposite angles of an isosceles trapezoid are
  never congruent.
• The non-parallel sides of a trapezoid always form
  pairs of same side interior angles.
• The diagonals of a parallelogram sometimes bisect
  the angles of the parallelogram.
• The diagonals of a square always create 4 pairs
  of congruent isosceles right triangles.

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Geo Board Activity 2

• Make a kite on your geo board.
• Compare your kite with those of your group.
• Write a conjecture about the diagonals of a kite.
• Are there any pairs of angles that seem to be
  congruent?
• List any other pairs of congruency that exist.

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Theorem 6-17

• The diagonals of a kite are perpendicular.

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Practice Workbook

• Page 72

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Homework

• Pgs 323-324(2-16 even, 20-25, 27-29, 32-37)