Discover Properties of a Trapezoid
The applet below contains a quadrilateral that ALWAYS remains a trapezoid. The purpose of this applet is to help you understand many of the geometric properties a trapezoid has. Some of these properties are unique and only hold true for a trapezoid (and
Use the features within this GeoGebra applet to investigate the answers to the following questions:
1) Are OPPOSITE sides of a trapezoid parallel?
If so, how many pairs?
2) Are OPPOSITE sides of a trapezoid congruent?
If so, how many pairs?
3) Are ADJACENT sides of a trapezoid congruent?
If so, how many pairs?
4) Are OPPOSITE angles of a trapezoid congruent?
If so, how many pairs?
5) Are ADJACENT angles of a trapezoid congruent?
If so, how many pairs?
6) What is
7) What is
8) What is
9) What is
10) What could you say about the angle pairs: and & and ? Select all that apply.
11) Are the diagonals of a trapezoid congruent?
12) Are the diagonals of a trapezoid perpendicular?
13) Do the diagonals of a trapezoid bisect EACH OTHER?
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. Some of these properties are unique and only hold true
Use the features within this GeoGebra applet to investigate the answers to the following questions:
14) Are OPPOSITE sides of an Isosceles Trapezoid congruent?
If so, how many pairs?
15) Are OPPOSITE angles of an Isosceles Trapezoid congruent?
If so, how many pairs?
16) Are ADJACENT angles of an Isosceles Trapezoid congruent?
If so, how many pairs?
17) Are the diagonals of an Isosceles Trapezoid congruent?
13) Do the diagonals of an Isosceles Trapezoid bisect EACH OTHER?
14) Do the diagonals of an Isosceles Trapezoid bisect any angles?