<p>Lesson: Properties of Quadrilaterals</p><p>Objective: Students will discover, prove, and apply properties of quadrilaterals.</p><p>Directions: 1. Teacher will lead brainstorming activity in which students will develop a list of terms they will need to use when identifying the properties of the various quadrilaterals. Students will share the meaning of the terms with the members of their groups. The terms should include the following: a. parallel/perpendicular b. supplementary c. diagonal d. perpendicular bisector e. consecutive angles/adjacent angles f. opposite angles</p><p>2. Students will complete worksheet #1 and construct the following figures: Parallelogram, rectangle, rhombus, square, trapezoid, kite. They will then make conjectures about each quadrilateral. Remind students to verify their conjectures using the measurements of the angles, sides and diagonals.</p><p>3. Students will then complete worksheet #2 and make conjectures about the resulting quadrilaterals EFGH and IJKL.</p><p>4. Students will make a chart with rows for different quadrilaterals and columns for properties and check off boxes to match quadrilaterals with properties. Then use this chart to create a Venn Diagram to classify quadrilaterals.</p><p>5. Additional Exploration: The students will complete the “Mystery Quadrilaterals” Activity found on the Intermath website. Worksheet #1 – Quadrilaterals Name ______</p><p>Directions: 1. Construct the following quadrilaterals: parallelogram; rectangle; rhombus; square; trapezoid; kite (a quadrilateral with two distinct pairs of adjacent, congruent sides)</p><p>2. Construct the diagonals of each quadrilateral.</p><p>3. Measure all sides, diagonals and angles.</p><p>4. List any properties you discover next to the sketchpad figure you constructed. Justify verify your conjectures using the measurements you made in step 3. </p><p>5. Print your sketchpad diagram and attach to this page. Worksheet #2 – Quadrilaterals Name ______</p><p>Directions: 1. Construct the following figure:  First construct any convex Quadrilateral ABCD.</p><p> Measure angles A, B, C, and D A  Measure sides AB, BC, CD and AD.  Construct the midpoints of each side E L and label E, F, G and H. H  Connect these points to form Quadrilateral EFGH B I  Measure angles E, F, G and H  Measure sides EF, FG, GH and EH D K  Construct the midpoints of each side of the quadrilateral EFGH and F J label these I, J, K and L. G  Connect these points to form Quadrilateral IJKL C  Measure the angles I, J, K and L.  Measure the sides IJ, JK, KL and IL.</p><p>2. Now drag the points A, B, C and/or D to form the figure in listed in the chart. Then state your conjecture of what type of quadrilateral EFGH and IJKL are formed.</p><p>Quadrilateral ABCD Quadrilateral EFGH Quadrilateral IJKL</p><p>Rectangle Square Parallelogram Rhombus Kite Trapezoid</p>