Properties of Square - Interactive Geometry Lab

Experiment 1: Sides & Angles
90° 90° 90° 90° XY ZW

Figure 1

90° 90° 90° 90° XY ZW

Figure 2

Fig∠X∠Y∠Z∠WXYWXYZZWResult
Conclusion: All the angles and sides of a square are equal.
Experiment 2: Diagonals are Equal
PS RQ

Figure 1

P Q R S

Figure 2

FigPRQSResult
Conclusion: The diagonals of a square are equal.
Experiment 3: Bisecting Perpendicularly
90° 90° P S R Q O

Figure 1

90° 90° P Q R S O

Figure 2

FigPOORQOOS∠POQ∠POSResult
Conclusion: The diagonals of a square bisect each other perpendicularly.
Experiment 4: Diagonals Bisect Vertex Angles

Click on each vertex (P, Q, R, S) in Figure 1 and Figure 2.

90° 90° 90° 90° PS RQ

Figure 1

90° 90° 90° 90° P Q R S

Figure 2

Table for Figure 1

Angle of verticesMeasure of subsidiary angleResult

Table for Figure 2

Angle of verticesMeasure of subsidiary angleResult
Conclusion: The diagonals bisect vertex angles in a square.