Singer + Busch = Theorem 6-14/6-15
- Author:
- ElizabethBusch
- Topic:
- Geometry
Warm Up: What are the properties of a rhombus and a rectangle which makes them special parallelograms? Draw an example of each.
Guided Discovery: Open the file SingerBusch_GroupProjectw2.html
Exploring Angle Measures
• Use the measuring tools to determine the lengths and angles of quadrilateral MEOW and BARK.
• What type of shape is MEOW? What type of shape is BARK?
• Explain how you determined that.
• Now create the diagonal MO and BR.
• Find the angle measures MOE and MOW in MEOW and the angle measures BRA and BRK.
• What do you observe?
• Make a prediction of the angle measures OME and OMW and the angle measures RBA and RBK.
• Check your prediction using measuring tools.
• Create the diagonals EW and AK.
• Make a prediction about the angles created by diagonal EW and AK.
• Use the applet to check your prediction.
• What are the angle measures of angles MEW and OEW? What is the angle measure of angle MEO?
• Now using the Length slider change the length of the quadrilateral MEOW, and using the Height and Width slider change the height and width of BARK.
• What do you notice?
• Make a conjecture related to the diagonals and angle measures in specific special parallelograms.
Exploring Diagonal Lengths
• Use the measuring tools to determine the lengths of diagonals MO, EW, BR, AK.
• What do you notice?
• Now using the Length slider change the length of the quadrilateral MEOW, and using the Height and Width slider change the height and width of BARK.
• What do you notice about the length of the diagonals?
• Make a conjecture related to the diagonal lengths in specific special parallelograms.