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Geometry 10-2 Complete Lesson: Areas of Trapezoids, Rhombuses, and Kites

By Matt Richardson
Last updated about 3 years ago
28 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

Solve It! Draw a trapezoid on a sheet of graph paper. Label its bases b₁ and b₂. Draw its midsegment. Cut out the trapezoid, and then cut it along the midsegment. Rotate the top part of the trapezoid 180° so that b₁ and b₂ now form one long base. How can you use this new figure to find the area of a trapezoid? Explain your reasoning?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Problem 4 Got It?

Vocabulary: Can a trapezoid and a parallelogram with the same base and height have the same area? Explain.

Reasoning: Can you find the area of a rhombus if you only know the lengths of its sides? Explain.

Reasoning: Do you need to know the lengths of the sides to find the area of a kite? Explain.

Review Lesson 10-1: Find the area of a right isosceles triangle that has one leg of length 12 cm.
Respond using this format: 36 cm^2

Review Lesson 10-1: A right isosceles triangle has area 112.5 ft². What is the length of the legs?
Respond using this format: 43 ft

Review Lesson 6-1: Find the measure of the interior angle of a regular nonagon.
Enter only a number to represent the angle's measure in degrees.

Review Lesson 8-2: Find the area of the regular triangle. Leave radicals in simplest radical form.

Review Lesson 8-2: Find the area of the regular quadrilateral. Leave radicals in simplest radical form.

Review Lesson 8-2: Find the area of the regular triangle. Leave radicals in simplest radical form.

Vocabulary Review: Classify each statement as true or false.

  • All rhombuses are parallelograms.
  • All rhombuses are squares.
  • All squares are rhombuses.
  • True
  • False

Vocabulary Review: Identify the figure that is NOT a rhombus.

Use Your Vocabulary: Find the kite.

Use Your Vocabulary: The figure in the diagram is a kite. What is the value of x? Enter only a number.

Reflection: Math Success