7.5 - proving kite, trapezoid, isosceles trapezoid 2018 ... · chapter 7 test thursday 2/8 •4...

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7.5 Proving Kite, Trapezoid, Isosceles Trapezoid 2018.notebook 1 February 04, 2018 Mental Floss: Thur, Feb 1 st Determine whether quadrilateral WXYZ is a parallelogram, rhombus, rectangle, or square. 7.5 More Special Quadrilaterals Trapezoid = Quadrilateral with exactly one pair of opposite sides parallel . The parallel sides are called the bases The other sides (nonparallel) are called the legs If the legs are congruent, then the trapezoid is an Isosceles Trapezoid . Example #1 1. Each pair of base angles is congruent. 2. Diagonals are congruent. Example #2

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Page 1: 7.5 - Proving Kite, Trapezoid, Isosceles Trapezoid 2018 ... · Chapter 7 Test Thursday 2/8 •4 polygon formulas •Names of polygons •Properties of parallelograms •Properties

7.5 ­ Proving Kite, Trapezoid, Isosceles Trapezoid 2018.notebook

1

February 04, 2018

Mental Floss:  Thur, Feb 1st

Determine whether quadrilateral WXYZ is a parallelogram, rhombus, rectangle, or square.

7.5 ­ More Special Quadrilaterals

Trapezoid = Quadrilateral with exactly one pair of opposite sides parallel.  

• The parallel sides are called the bases

• The other sides (non­parallel) are called the legs

• If the legs are congruent, then the trapezoid is an Isosceles Trapezoid.

Example #1

1.  Each pair of base angles is congruent.

2.  Diagonals are congruent.

Example #2

Page 2: 7.5 - Proving Kite, Trapezoid, Isosceles Trapezoid 2018 ... · Chapter 7 Test Thursday 2/8 •4 polygon formulas •Names of polygons •Properties of parallelograms •Properties

7.5 ­ Proving Kite, Trapezoid, Isosceles Trapezoid 2018.notebook

2

February 04, 2018

7.5 ­ More Special Quadrilaterals

Kite = Quadrilateral with two pairs of consecutive sides congruent, but opposite sides are not congruent.

• Diagonals are perpendicular to each other

• Exactly one pair of opposite angles congruent

Chapter 7 Test ­ Thursday 2/8• 4 polygon formulas

• Names of polygons

• Properties of parallelograms

• Properties of rhombuses and rectangles

• Properties of trapezoids and kites

• Naming specific quadrilaterals in coordinate plane using – Parallel sides (same slopes)– Perpendicular sides and diagonals (opposite reciprocal slopes)– Congruent sides (distance formula)