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"do now"LMNO is a rhombus.

1. Find x

2. Find y

QRST is a square.

4. Find w if QR = 5w + 4 and RS = 2(4w – 7).

3. Find n if m<TQR = 8n + 8.

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Whiteboards

1. The diagonals of a rectangle ...

2. A rectangle has ...

3. The diagonals of a rhombus ...

4. A rhombus has ...

5. The diagonals of a rhombus ...

6. A square has ...

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Trapezoid Parallelogram Kite

Rhombus Rectangle Square

+ =

Quadrilaterals

Only one pair of opposite sides are parallel

Opposite sides are parallel

No sides are parallel;

Two pairs of adjacent sides are congruent

All sides are congruent

All angles are congruent

(4 right angles)

All sides and all angles are congruent

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Unit 7: Quadrilaterals6.6 Trapezoids and Kites

Date

Trapezoid

Base Angles and Legs

IsoscelesTrapezoid

Legs are congruent

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Stations

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BASKET Each side of the basket shown is anisosceles trapezoid.

If m∠JML = 130, KN = 6.7 feet,and JL is 10.3 feet, find MN.

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The midsegment of a trapezoid is parallel to the bases and its length is their average.

Midsegment

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In the figure, MN is the midsegment of trapezoidFGJK. What is the value of x?

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Quadrilateral ABCD has vertices A(5, 1), B(–3, –1),C(–2, 3), and D(2, 4).

Show that ABCD is a trapezoidand determine whether it is an isosceles trapezoid.

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Kite

Vertex and Non­Vertex Angles

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If MNPQ is a kite, find NP.

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Unit 7 ­ Quadrilaterals6.1 ­ Angles of Polygons

Interior Angle SumMeasure of 1 Interior AngleExterior Angle SumMeasure of 1 Exterior Angle

6.2 ­ Parallelogram Properties

6.3 ­ Tests for Parallelograms (Conditions)

6.4 ­ Properties of Rectangles

6.5 ­ Properties of Rhombi and Squares

6.6 ­ Properties of Trapezoids and KitesIsosceles TrapezoidsMidsegment of Trapezoids

Coordinate Proofs ­ How to prove each specific quadrilateral

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Optional Practice Problems (Review)

pg. 449 (#1­10 all, 11 ­ 43 odd)

Ms. Stalvey will post an answer key