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# Quadrilateral Diagonal Properties and Measurement

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This activity is especially good for reviewing and comparing the properties about the diagonals of the various quadrilaterals and also gives students practice in measuring accurately with a ruler.
In this activity students will be accurately drawing the named quadrilateral by first drawing its diagonals and then connecting the four endpoints of the diagonals to form the specific quadrilateral.
Students will first think about and write down what the diagonal properties are for the named quadrilateral they are to draw. Based on those properties they will draw the diagonals to the specified length and connect the endpoints to achieve the quadrilateral indicated. If the diagonals are not placed correctly in relationship to each other the correct quadrilateral will not be achieved.
I have included a single sheet where all 6 quadrilaterals can be drawn by using centimeters rather than inches. This can be used for the final product to save on paper or be used as a practice sheet before they draw their neat and accurate models. I usually have my students work on the final product with a partner to allow them to discuss and collaborate their work for the best results.
All students should have the same size figure for those figures with perpendicular diagonals - the square and the rhombus. The other shapes, parallelogram, rectangle, isosceles trapezoid, and kite can end up being different sizes even thought the diagonals will be of the specified lengths. The isosceles trapezoid may prove tricky for some so you might give them hints if you wish. The diagonals can not be bisected or it will become a rectangle but the diagonals have to intersect at the same distance on each diagonal. For instance draw the diagonal 5 inches and put a dot at the 2 inch mark and then when drawing the second diagonal be sure the 2 inch mark of the second diagonal lands on the 2 inch dot you marked on the first diagonal, then connect the endpoints and it will form an isosceles trapezoid!
For the kite they need to be sure that only one of the diagonals is bisected.

I have included a poster of Diagonal Properties filled in and a copy where the students can review by summarizing the properties of diagonals for each quadrilateral.

I have also included a procedural example for each quadrilateral with steps and diagrams.
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