CPM Homework Help : GC Problem 11-24

2 horizontal lines: each line with points labeled, in order from left to right, top: C, D, E, bottom: A, B. Line segments from, A, to, C, from, A, to D, from, A, to, E, from, B, to, C, from, B, to, D, from, B, to, E. Examine $ΔABC$ , $ΔABD$ , and $ΔABE$ in the diagram at right. If $\overline { C E } \ ‖ \ \overline{AB}$ , explain what you know about the areas of the three triangles. Justify your statements.

Hint:

It may help to examine the triangles when they do not overlap each other.

Triangle, A, B, C, in the same shape as in the original image.

Triangle, A, B, D, in the same shape as in the original image.

Triangle, A, B, E, in the same shape as in the original image.

What do you notice now?

More Help:

What is true about the base and height of all the triangles?