Experiment 1: Sides & Angles

XY ZW

Figure 1

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

PS RQ

Figure 2

FigPRQSResult
Conclusion: The diagonals of a square are equal.

Experiment 3: Bisecting Perpendicularly

PS RQ O

Figure 1

PS RQ 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.

PS RQ

Figure 1

PS RQ

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.