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Properties Of Trapezoids And Isosceles Trapezoids Assignment Of Rents

By Mark Ryan

A trapezoid is a quadrilateral with exactly one pair of parallel sides (the parallel sides are called bases). The following figure shows a trapezoid to the left, and an isosceles trapezoid on the right.

  • The properties of the trapezoid are as follows:

    • The bases are parallel by definition.

    • Each lower base angle is supplementary to the upper base angle on the same side.

  • The properties of the isosceles trapezoid are as follows:

    • The properties of trapezoid apply by definition (parallel bases).

    • The legs are congruent by definition.

    • The lower base angles are congruent.

    • The upper base angles are congruent.

    • Any lower base angle is supplementary to any upper base angle.

    • The diagonals are congruent.

Perhaps the hardest property to spot in both diagrams is the one about supplementary angles. Because of the parallel sides, consecutive angles are same-side interior angles and are thus supplementary. (All the special quadrilaterals except the kite, by the way, contain consecutive supplementary angles.)

Here’s an isosceles trapezoid proof for you:

Statement 1:


Reason for statement 1: Given.

Statement 2:

Reason for statement 2: The legs of an isosceles trapezoid are congruent.

Statement 3:

Reason for statement 3: The upper base angles of an isosceles trapezoid are congruent.

Statement 4:

Reason for statement 4: Reflexive Property.

Statement 5:

Reason for statement 5: SAS, or Side-Angle-Side (2, 3, 4)

Statement 6:

Reason for statement 6: CPCTC (Corresponding Parts of Congruent Triangles are Congruent).

Statement 7:

Reason for statement 7:If angles, then sides.

Product Description

Quadrilaterals Properties of Trapezoids and Isosceles Trapezoids Notes and Assignment

This is a set of notes, examples and a complete assignment on the special quadrilaterals that are Trapezoids and Isosceles Trapezoids.

The packet includes:
***fully illustrated teachers notes
***matching student notes
***a teacher's set of examples that are fully worked out
***a matching set of student examples for them to follow along and fill in
***a two page assignment for students to practice that includes a complete answer key.

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If you are looking for other resources on polygons, please look at:

Geometry Quadrilaterals Bellwork Exit Cards Station Questions
Geometry Quadrilaterals Bellwork Exit Cards Station Questions.

Polygon Investigation:
Interior and Exterior Angles of Polygons Investigation Activity and Assignment.

Polygon and Quadrilateral Vocabulary Assignment:
Polygons and Quadrilaterals Vocabulary Assignment.

Polygon and Quadrilaterals Vocabulary Matching Activity
Geometry Quadrilaterals and Polygons Vocabulary Matching Activity.

Quadrilaterals Wall Posters:
Properties of Special Quadrilaterals Wall Posters and Graphic Organizers.

Notes with examples and assignments attached:
Properties of Parallelograms Notes and Assignment.
Properties of Rectangles Notes and Assignment .
Properties of Rhombi and Squares Notes and Assignment.
Properties of Kites Notes and Assignment.

Reviews:
Geometry Quadrilaterals Polygons Note Cards.
The Family of Quadrilaterals Graphic Organizers.
Geometry The Family of Quadrilaterals Unit Review.
Geometry Properties of Quadrilaterals Riddle Worksheet.

While each product can be purchased individually at the above links -- You can save 20% by buying the entire unit bundled together!!!

Quadrilaterals Complete Unit Bundle
Geometry The Family of Quadrilaterals Complete Unit Bundle.
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