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?

No Yes

If so, how many pairs?

4 pairs 3 pairs 1 pair NO pairs of opposite sides are parallel. 2 pairs

2) Are OPPOSITE sides of a trapezoid congruent?

Yes No

If so, how many pairs?

3 pairs 1 pair 2 pairs 4 pairs NO pairs of opposite sides are congruent.

3) Are ADJACENT sides of a trapezoid congruent?

No Yes

If so, how many pairs?

2 pairs 1 pair 3 pairs NO pairs of adjacent sides are congruent. 4 pairs

4) Are OPPOSITE angles of a trapezoid congruent?

No Yes

If so, how many pairs?

4 pairs 2 pairs 1 pair NO pairs of opposite angles are congruent. 3 pairs

5) Are ADJACENT angles of a trapezoid congruent?

Yes No

If so, how many pairs?

3 pairs 2 pairs 4 pairs NO pairs of adjacent angles are congruent. 1 pair

6) What is [math]m\angle A+m\angle B=[/math]

7) What is [math]m\angle B+m\angle C=[/math]

8) What is [math]m\angle C+m\angle D=[/math]

9) What is [math]m\angle D+m\angle A=[/math]

10) What could you say about the angle pairs:[br][math]\angle A[/math] and [math]\angle B[/math] & [math]\angle C[/math] and [math]\angle D[/math]?[br]Select all that apply.

They are vertical They are Same-Side Interior Angles They are congruent They are supplementary They are Linear Pair They are complementary

11) Are the diagonals of a trapezoid congruent?

Yes No

12) Are the diagonals of a trapezoid perpendicular?

No Yes

13) Do the diagonals of a trapezoid bisect EACH OTHER?

Yes No

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?

Yes No

If so, how many pairs?

3 pairs 1 pair NO pairs of opposite sides are parallel. 4 pairs 2 pairs

15) Are OPPOSITE angles of an Isosceles Trapezoid congruent?

Yes No

If so, how many pairs?

NO pairs of opposite angles are congruent. 4 pairs 3 pairs 2 pairs 1 pair

16) Are ADJACENT angles of an Isosceles Trapezoid congruent?

No Yes

If so, how many pairs?

3 pairs 1 pair 2 pairs NO pairs of adjacent angles are congruent. 4 pairs

17) Are the diagonals of an Isosceles Trapezoid congruent?

Yes No

13) Do the diagonals of an Isosceles Trapezoid bisect EACH OTHER?

No Yes

14) Do the diagonals of an Isosceles Trapezoid bisect any angles?

No Yes

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:

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:

Information: Discover Properties of a Trapezoid