T3S-file Sketchpad Summarizing Properties of Quadrilaterals (1) updated PDF

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Sketchpad Summarizing Properties of Quadrilaterals

Name: Jillian Barber How much do you know about quadrilaterals? This is your chance to summarize and use what you know and maybe discover some things you didn’t know. In this activity you will use the individual quadrilateral created for you to measure just about everything there is to measure on this shape to observe characteristics of individual shapes. For this activity you will need to use the six Geometer Sketchpad listed below. After you are done working with these files (with diagonals created and all measurements recorded in the sketch) you will save it and return it to me with this activity worksheet as well. So I will get a total of seven files back from you. You can attach all seven files in the activity return screen.

For each shape, you must complete the following •

Measure the lengths of the four sides. (see below for an example or file posted in blackboard).

•

Measure each of the four angles. Arrange these measurements under the Sides heading.

•

Construct the diagonals and the point of intersection of the diagonals. Label the point of intersection as point E. ➢ Measure the lengths of each diagonal and arrange these measurements under Diagonals. ➢ Measure the four angles around the diagonals. Put these 4 measurements under Diagonals.(Note: in my example only one of the diagonal measurement are listed) ➢ Measure AE, EC, BE, and ED and arrange these measurement under Diagonals.

Properties of Quadrilaterals

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•

Measure the slopes of the four sides. Arrange these measures under the Slopes heading. Remember what the slope tells us about lines being parallel or perpendicular.

Here is an example of what your file should look like when sent back to me. Remember that you will have four diagonals angle measurements

Fill in the columns in the below. Write “Yes” if the property is true for all of that shape and “NO’ if it is ever not true.

Properties of Quadrilaterals

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Rectangl Rhombus e

Square

Parallelogra m

Kite

Isosceles Trapezoid

Opposite Sides ≅

YES

YES

YES

YES

YES

NO

Opposite ∠s ≅

YES

YES

YES

YES

YES

NO

Consecutive ∠’s 〫 Sum =180

YES

YES

YES

YES

YES

NO

Diagonals ≅

YES

YES

YES

YES

NO

YES

Diagonals ! ⊥

NO

YES

YES

NO

YES

NO

Diagonals bisects each other

YES

YES

YES

YES

YES

YES

Question1

Answer: Rectangle, square, rhombus, parallelogram, kite. The information in the chart showed me all of the shapes are quadrilaterals with both pairs of opposite sides parallel. Question 2

Answer: If you were to define a square as a parallelogram with opposite sides congruent, opposite angles congruent, and opposite diagonals congruent, with diagonals that bisect Properties of Quadrilaterals

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each other, a rectangle and a rhombus both fit the same description.

Question 3

Yes, an isosceles trapezoid that has 2 sets of parallel sides is called a rectangle.

Properties of Quadrilaterals

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