# Glog-7019

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**hfxBingam2**

Last updated 9 years ago

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C-52: The opposite angles of a parallelogram are congruent.C-53: The consecutive angles of a parallelogram are supplementary.C-54: The opposite sides of a parallelogram are congruent.C-55: The diagonals of a parallelogram bisect each other.

How To

How To Construct a Parallelogram:1. draw a line segment with a straightedge.2. extend the line segment with a dotted line.3. draw a line from one of the endpoints.4. duplicate the angle: a. swing an arc that instersects both sides of the angle. b. duplicate the same arc on the opposite endpoint. c. measure distance between the intersection points on the original. d. duplicate the same distance on the oppostie endpoint and keep your construction marks. e. from the opposite endpoint draw in a line segment through the intersection point on the angle.5. draw a line segment from the new endpoint to the other endpioint to create a quadirlateral.6. you now have constructed parallelogram.

Conjectures

Parallelogram- a quadrilateral whose opposite sides are parallel.

Definition

Each pair of oppostie sides parallel Yes Opposite sides congruent Yes Oppostie angles congruent Yes Diagonals bisect each other YesDiagonals are perpendicular NoDiagonals are congruent NoExactly one line of symmetry NoExactly two lines of symmetry No

Table

Pictures

Parallelogram

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