Chapter 5 Properties of Figures

kjmillikan, Dec 5, 2014

Interactive properties of parallelograms, Rhombus, Isosceles Trapezoid, Kites, Squares, and Rectangles

Table of Contents

  1. Parallelogram
    1. Parallelogram Properties
  2. Rectangle
    1. Rectangle Properties
  3. Square
    1. Square Properties
  4. Rhombus
    1. Rhombus Properties
  5. Kite
    1. Kite Properties
  6. Trapezoids
    1. Properties of Trapezoids
  7. Review

1.

Parallelogram

Properties of a Parallelogram

  • 1. Parallelogram Properties

1.1.

Parallelogram Properties

Click on Show Side Lengths, select point A or B and move it around. 1. What do you notice is always true about the side lengths? Hide the side lengths, and click on Show Angle Measures. Now move around point A or B again. 2. What do you notice is always true about the angle measures? Hide the angle measures, now show the slopes. Again Move around point A or B. 3. What is always true about the slopes? 4. What can you infer because of question 3? Hide the slopes, and click on the "Show Lengths of BE, DE, CE, AE" and move point A or B again. 5. What do you notice is always true about these lengths? 6. This means the Diagonals __________ each other. Hide the lengths, finally select "other angle measures", move points A or B. 7. List all pairs of congruent angles you see. 8. Label the angles you listed in question 7 with the following angle relationships: Vertical Angles, Alternate Interior Angles, Interior Angles on the Same Side/ Supplementary. 9. Using the picture, and your answers to this exercise, what are the properties of Parallelograms that are always true?
– kjmillikan

2.

Rectangle

Properties of a Rectangle

  • 1. Rectangle Properties

2.1.

Rectangle Properties
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3.

Square

  • 1. Square Properties

3.1.

Square Properties

Click on Side Lengths, select point A and move it around. 1. What do you notice is always true about the side lengths? Hide the side lengths, and click on Corner Angle Measures. Now move around point A again. 2. What do you notice is always true about the angle measures? Hide the angle measures, now show the slopes. Again Move around point A. 3. What is always true about the slopes? 4. What can you infer because of your answer to question 3? Hide the slopes, and click on "and lengths", move around point A 5. What do you notice is always true about the diagonals? Click "and lengths" again, and then click on the "Show Lengths of BE, DE, CE, AE" and move point A again. 6. What do you notice is always true about these lengths? 7. This means the Diagonals __________ each other. Hide the lengths, finally select "other angle measures", move point A. 8. List all pairs of congruent angles you see. 9. Label the angles you listed in question 7 with the following angle relationships: Vertical Angles, Right Angles, Alternate Interior Angles, Interior Angles on the Same Side/ Supplementary. 10. What is true about the angle formed by the two diagonals? 11. Using the picture, and your answers to this exercise, what are the properties of Squares that are always true?
– kjmillikan

4.

Rhombus

  • 1. Rhombus Properties

4.1.

Rhombus Properties
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5.

Kite

  • 1. Kite Properties

5.1.

Kite Properties
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6.

Trapezoids

  • 1. Properties of Trapezoids

6.1.

Properties of Trapezoids

Properties of Trapezoids
Click on Show Side Lengths, select point A or B and move it around.[br]1. What do you notice is always true about the side lengths?[br][br]Hide the side lengths, and click on Corner Angle Measures. Now move around point A or B again.[br]2. List any pairs of congruent angles or supplementary angles. Do these pairs always stay supp or congruent?[br][br]Hide the angle measures, now show the slopes. Again Move around point A or B.[br]3. What is always true about the slopes?[br]4. What can you infer because of the answer to question 3?[br][br]Hide the slopes, and click on the "Show Lengths of AE, BE, CE, DE" and move point A or B again.[br]5. What do you notice is always true about these lengths?[br][br]Hide the lengths, and now click on "and Lengths" next to diagonals, and move around A or B.[br]6. What do you notice is always true about the diagonals.[br][br]Hide the lengths, finally select "other angle measures", move points A or B.[br]7. List all pairs of congruent angles you see.[br]8. Label the angles you listed in question 7 with the following angle relationships: Vertical Angles, Alternate Interior Angles, Interior Angles on the Same Side/ Supplementary.[br][br]9. Using the picture, and your answers to this exercise, what are the properties of Isosceles Trapezoids that are always true?[br][br]10. Figure FGIH is not and Isosceles Trapezoid. It is jsut a trapezoid. What properties from your answer to question 9 still remain true? What properties no longer apply?
– kjmillikan

7.

Review


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