Construct line segments AB and BC as shown below.

Choose point A and line segment BC, construct "parallel line".

Choose point C and line segment AB, construct "parallel line."

Choose these two parallel lines and construct "point at intersection", label as point D.

Choose point A and point D and construct "segment", choose points D and C and construct "segment". Hide parallel lines.

AB = CD = BC = AD =

= = = =

Name the two sets of opposite sides of the parallelogram.

, and ,

What can you conclude about the measurements of the opposite sides of the parallelogram?

, and ,

What can you conclude about the measurements of the opposite angles of the parallelogram?

, and ,

What can you conclude about the measurements of the consecutive angles of the parallelogram?

Additional Construction

Choose points A and C, construct "segment".

Choose points B and D, construct "segment".

Choose each diagonal, AC and BD, and construct "point at intersection", label as point X.

(Choose each endpoint to measure "distance".)

Distance from A to X =

Distance from X to C =

Distance from B to X =

Distance from X to D =

What can you conclude about the diagonals AC and BD of the parallelogram? (Hint: What do they do to each other?)

Define Parallelogram.

List the five characteristics of a Parallelogram (use the text if needed).

1.

2.

3.

4.

5.

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