Discovering Properties of Isosceles Trapezoids (Scaf…
- Author:
- Julian Ornelas, Tim Brzezinski
- Topic:
- Trapezoid
The applet below contains a quadrilateral that ALWAYS remains an ISOSCELES TRAPEZOID.
The purpose of this applet is to help you understand many of the geometric properties an ISOSCELES TRAPEZOID has.
The questions you need to answer are displayed below this applet.
Questions:
Use your observations from interacting with this applet to investigate the answers to the following questions:
1) Is an isosceles trapezoid a parallelogram? Why or why not?
2) Are opposite sides of an isosceles trapezoid congruent? If so, how many pairs?
3) Are opposite angles of an isosceles trapezoid congruent?
4) Look at the two pairs of consecutive angles between the parallel bases. What is the sum of the measures of the angles in each pair?
5) Look at the measures of each pair of base angles (ADC and DCB; DAB and ABC). What do you notice about these pairs of angles?
6) Do the diagonals of an isosceles trapezoid bisect EACH OTHER?
7) Does a diagonal of an isosceles trapezoid bisect a pair of opposite angles?
8) Are the diagonals of an isosceles trapezoid perpendicular?
9) Are the diagonals of an isosceles trapezoid congruent?