A point is chosen along the diagonal of a parallelogram, and segments parallel to the sides are constructed through that point. This applet allows you to investigate an interesting phenomenon regarding the areas of the four smaller parallelograms formed by this construction.
- Change the configuration of the parallelogram by dragging point B
- Click Show Diagonal BD or Show Diagonal AC
- Drag point P along the diagonal
How do the relationships between the areas change as the location of point P changes?
As point P is moved, the area of each of the squares changes.With bisector AC, as point P moves up the diagonal, the green square gets larger and all the others get smaller.
ReplyDeletemoving p makes one area smaller and the others bigger
ReplyDelete-T
Moving point p made certain areas go up, and certain areas go down.
ReplyDelete- Brianna
While moving point "p", the area of the quadrilterals formed inside the parallelogram increased while the area in the other quadrilaterals formed decreased.
ReplyDelete**Some of the quadrilaterals formed were: parallelograms, squares, rectangles, and rhombus'
-Rebeca Eller
As point p moved the area of the other shapes got smaller as in decreased in size.
ReplyDeleteWhen you move pont P, the area of the different quadrilaterals within the parallelogram changes. You could also form different qudrilaterals by moving point P.
ReplyDeleteGreih Wilson-McClain
when i moved the 'P', the squares forming the midpoint of the diagonal changed, so i basically tried to match them both up to create as close to the same point as possible.
ReplyDelete-erin vb