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Discovery Activity - Quadrilaterals & Isosceles Trapezoids

Author:Jessica Tentinger
Quadrilateral: a four sided figure.
Draw any quadrilateral below. Measure each angle.

What is the sum of the angles?

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Answer the questions below
Measure the angles of the figure below.

What is the sum of all the angles?

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What do you notice about angles A and B?

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What do you notice about angles A and D?

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What is the sum of angles B and C?

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What do you notice about angles C and D?

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Is side AB parallel to DC? Explain

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Is side AD parallel to BC? Explain

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Measure the sides of the figure below.

What do you notice about the of the sides of the figure?

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One diagonal has been added to the figure. Measure all the angles created by the diagonal.

What do you notice about the angles?

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Why do you think only one pair of angles is congruent?

If the second diagonal was drawn to connect A to C, which pair of angles do you think would be congruent? Verify your answer on the figure below by measuring the angles.

Measure all the angles created by the diagonal.
The second diagonal has been added to the figure. Measure the segments created.

Are the diagonals congruent?

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Do the diagonals bisect each other?

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What kind of triangles are AEB and DEC? Explain.

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Summarize the information you learned about Isosceles Trapezoids. Create a way to present this to the class.

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