6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon...
Transcript of 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon...
![Page 1: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/1.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
Bellringer:Find the value of each variable.
1. x 2. y 3. z
![Page 2: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/2.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
Prove and apply properties of parallelograms.
Use properties of parallelograms to solve problems.
Objectives
![Page 3: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/3.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
parallelogram
Vocabulary
![Page 4: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/4.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties. These special quadrilaterals are given their own names.
![Page 5: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/5.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
Opposite sides of a quadrilateral do not share a vertex. Opposite angles do not share a side.
Helpful Hint
![Page 6: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/6.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
A quadrilateral with two pairs of parallel sides is a parallelogram. To write the name of a parallelogram, you use the symbol .
![Page 7: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/7.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
![Page 8: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/8.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
![Page 9: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/9.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
Example 1A: Properties of Parallelograms
In CDEF, DE = 74 mm, DG = 31 mm, and m∠∠∠∠FCD = 42°. Find CF.
![Page 10: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/10.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
Example 1B: Properties of Parallelograms
In CDEF, DE = 74 mm, DG = 31 mm, and m∠∠∠∠FCD = 42°. Find m∠∠∠∠EFC.
![Page 11: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/11.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
Example 1C: Properties of Parallelograms
In CDEF, DE = 74 mm, DG = 31 mm, and m∠∠∠∠FCD = 42°. Find DF.
diagonals bisect each other
![Page 12: 6-2Properties of Parallelograms - Scott County …...6-2Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties.](https://reader035.fdocuments.in/reader035/viewer/2022071014/5fcc8f4b1af19f603e29a5a4/html5/thumbnails/12.jpg)
Holt McDougal Geometry
6-2 Properties of Parallelograms
Check It Out! Example 1a
In KLMN, LM = 28 in., LN = 26 in., and m∠∠∠∠LKN = 74°. Find KN.