<p> Lab Partner 1______Lab Partner 2______Quadrilateral Lab – Day 1</p><p>Part I - Parallelograms</p><p>Write the definition of a Parallelogram –</p><p>1. a. Using graph 1, plot and label A(-4, 5); B(4, 5); C(2, -1); D(-6, -1). b. Connect all 4 points in order from A->B. c. What shape does it make?</p><p>2. How else do you know it’s a parallelogram? Could you prove it? How?</p><p>3. What is true about the length of opposite sides? Use facts. (Hint: The distance formula is helpful here.)</p><p>4. a. What is the measure of  CBA and  CDA? b. What is the measure of  DAB and  DCB? c. What can you conclude about the measure of the opposite angles?</p><p>5. a. What is the measure of  ABC and  BCD? b. What is true about the measure of 2 angles that are adjacent (right next to each other) to each other?</p><p>6. Draw a diagonal (a line) from point A to C and another from point B to D.</p><p>7. Label the intersection point E and write the coordinates.</p><p>8. Find EB, EC and EA, ED (length of each). (Again, the distance formula.)</p><p>9. What can you conclude about the diagonals of a parallelogram? Lab Partner 1______Lab Partner 2______</p><p>Part II – Rhombus</p><p>Write the definition of a Rhombus –</p><p>1. If a rhombus is a parallelogram – what else is true? a. About opposite sides?</p><p> b. About opposite angles?</p><p> c. About their diagonals?</p><p>2. Use graph 2 for the following problems. Graph and label the points: A(1,-3); B(-4,- 3); C(-1,1); and D(4,1). Connect the points in order. a. What is the length of each side?</p><p> b. What shape does it make?</p><p>3. a. Connect B and D (Create a diagonal). What is the m  ABD? </p><p> b. m CBD?</p><p> c. What is the m  ADB? m  CDB?</p><p> d. What does the diagonal do to the 2  ’s?</p><p> e. What kind of triangle is ∆ABD?</p><p> f. What kind of triangle is ∆BCD?</p><p>4. a. Connect A and C. Label the intersection point F.</p><p> b. What is the m AFB?</p><p> c. What does that mean the m  AFD;  DFC and  CFB are?</p><p> d. What can you conclude about the diagonals of a rhombus? Lab Partner 1______Lab Partner 2______</p><p>Part III – Rectangles</p><p>Write the definition of a rectangle –</p><p>1. In graph 3, plot and label the following points: A(-5, 4); B(5, 4); C(5, -2) and D(-5, -2). Connect in order.</p><p>2. What shape does it create?</p><p>3. Connect A & C and B & D (Create 2 diagonals).</p><p>4. What is the length of BD and AC? Hint: You will need to use the distance formula.</p><p>5. What can you conclude about the diagonals of a rectangle?</p><p>Try:</p><p>If LMNP is a rectangle, find x & the length of each diagonal. Hint: Draw the rectangle (when in doubt – draw it out!). LN = 3x + 1 and MP = 8x - 4 Lab Partner 1______Lab Partner 2______</p><p>Part IV – Square</p><p>Write the definition of a square –</p><p>1. In graph 4, draw and label with coordinates a square. Make sure it fits the definition of a square.</p><p>2. What can you conclude about a square? a. Is it also a parallelogram? How do you know?</p><p> b. What can you conclude about it’s diagonals?</p><p> c. What can you conclude about it’s sides? Is it a rhombus? Why or Why not?</p><p> d. What else can you conclude about the square based on previous rules?</p><p>Homework for Day 1 – DRAW OUT every diagram and show ALL work! Lab Partner 1______Lab Partner 2______Quadrilateral Lab – Day 2</p><p>Part V - Kites</p><p>Write the definition of a Kite –</p><p>1. Using graph space 5, plot and label A(-4, 4); B(0, 8); C (4, 4); D (0, -3). Connect all points in order. </p><p>2. What shape is it? Could you prove it? How?</p><p>3. What is BC? BA? CD? DA?</p><p>4. What is the m BCD? What is the m  BAD?</p><p>5. What is the m ABC? What is the m  ADC?</p><p>6. What can you conclude about the opposite angles of a kite (if anything)?</p><p>7. Draw a diagonal from A to C.</p><p>8. What kind of triangle is ΔABC? What kind of triangle is ΔACD?</p><p>9. Draw a diagonal (or use the y-axis) from B to D.</p><p>10. Label the intersection of the 2 diagonals point E. What is the m  BEC? Knowing that, what is the measure of  ’s BEA/CED/DEA?</p><p>11. What can you conclude about the diagonals of a kite? Lab Partner 1______Lab Partner 2______</p><p>Part VI – Trapezoids and Isosceles Trapezoids</p><p>Write the definition of a Trapezoid –</p><p>1. In graph 6, plot and label the following points and connect them in order: A(-3,2); B(2,2); C(5,-2); D(-6,-2)</p><p>2. What is the length of each side? (Use the distance formula where necessary.)</p><p> a. What special type of trapezoid is this and why?</p><p>3. Draw diagonals AC and BD. a. What is the length of AC?</p><p> b. What is the length of BD?</p><p> c. What can you conclude about diagonal lengths in this special type of trapezoid?</p><p>Homework for Day 2 – DRAW OUT every diagram and show ALL work! Lab Partner 1______Lab Partner 2______</p><p>1.</p><p>2. Lab Partner 1______Lab Partner 2______</p><p>3.</p><p>4. Lab Partner 1______Lab Partner 2______</p><p>5.</p><p>6.</p>