Decompose special quadrilaterals — Guided Practice — page 1
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Decompose special quadrilaterals — Guided Practice — page 2
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Worksheet directions

Grade 6 • Guided Practice • Work with your teacher or a partner. Discuss the model or strategy, then complete each problem.

Sample questions

  1. A trapezoid has parallel bases 9 cm and 5 cm and height 4 cm. Draw a second congruent copy to form a parallelogram. Use it to explain the trapezoid’s area.
  2. A student uses only the longer base 10 cm and height 5 cm to get area 50 cm² for a trapezoid whose shorter base is 6 cm. Explain why this overcounts and find the correct area.
  3. All measurements are in centimeters. Split this trapezoid into a rectangle and triangles, then find its area. Show your component areas.
  4. A student uses only the longer base 13 cm and height 5 cm to get area 65 cm² for a trapezoid whose shorter base is 6 cm. Explain why this overcounts and find the correct area.
  5. A trapezoid has parallel bases 12 cm and 5 cm and height 4 cm. Draw a second congruent copy to form a parallelogram. Use it to explain the trapezoid’s area.

See the preview for diagrams, answer spaces, and the complete layout.

Common Core connections

Source labels: 6.G.A.1. Review the learning goals below to check the fit for your class.

  • 6.G.A.1 — Area of triangles and polygons

Bring it into your lesson

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