Geometry Section 8.2-8.3  I can use the properties of parallelograms to set up and solve equations to find variables.

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Presentation transcript:

Geometry Section 8.2-8.3  I can use the properties of parallelograms to set up and solve equations to find variables.

Parallelograms By definition, a Parallelogram is a quadrilateral that has two pairs of parallel sides.

EXAMPLE 1 Use properties of parallelograms ALGEBRA Find the values of x and y. ABCD is a parallelogram by the definition of a parallelogram. In ABCD, x = 8 and y = 65. ANSWER

EXAMPLE 2 Use properties of parallelograms Desk Lamp As shown, part of the extending arm of a desk lamp is a parallelogram. The angles of the parallelogram change as the lamp is raised and lowered. Find m BCD when m ADC = 110°.

Find the missing variables.

Segment JK is parallel to segment ML. JK = 7x + 5 and ML = 3x + 17 Segment JK is parallel to segment ML. JK = 7x + 5 and ML = 3x + 17. Find the value of x that make the quadrilateral a parallelogram.