7.4 Special Parallelograms and 7.5 Trapezoids and Kites

7.4 Special Parallelograms and 7.5 Trapezoids and Kites

By Mary Lett

​Objective and Standards

• ​Students will be able to identify special quadrilaterals (rhombus, rectangle, square, kite, and trapezoid), properties unique to the special quadrilaterals, and the minimum conditions needed to prove that a quadrilateral is a special quadrilateral.

• HSG-CO.C.11: Prove theorems about quadrilaterals.

​Special Parallelograms

Multiple Choice

A quadrilateral will all congruent angles would best be described as a -?-

• square
• rectangle
• rhombus
• parallelogram

Multiple Choice

A quadrilateral opposite angles congruent would best be described as a -?-

• square
• rectangle
• rhombus
• parallelogram

Multiple Choice

Diagonals are congruent in all -?-

• quadrilaterals
• rectangles
• rhombuses
• parallelograms

Multiple Choice

Diagonals are perpendicular in all -?-

• quadrilaterals
• rectangles
• rhombuses
• parallelograms

Multiple Choice

A quadrilateral will all congruent sides would best be described as a -?-

• square
• rectangle
• rhombus
• parallelogram

Multiple Choice

Find y.

• 42
• 7
• 6
• 180

Multiple Choice

Find v.

• 81
• 4
• 27
• 90

​Vocabulary

​Vocabulary

​Types of Quadrilaterals Flow Chart

Multiple Choice

$m\angle2=?$

• 55

• 125

• 110

• 27.5

Multiple Choice

$$m\angle3=?$$

• 55

• 125

• 110

• 27.5

Multiple Choice

$$XY=?$$

• 12

• 4

• 24

• 10

Multiple Choice

$$XY=?$$

• 10.5

• 4.5

• 12

• 10

Multiple Choice

$x=?$

• 3

• 4.5

• 6

• 10

Multiple Choice

$$m\angle1=?$$

• 105.5

• 101

• 48

• 90

Multiple Choice

$$m\angle3=?$$

• 63

• 27

• 90

Multiple Choice

GLOT is a kite.   $$x=?$$  

• 4

• 2

• 5.5

• 3