CPM Homework Help : INT2 Problem 4-22

Examine the triangles in the diagram at right.

Are the triangles similar? If you decide that they are, then justify your conclusion using a flowchart.
Hint (a):
What do the two arrows mean?
What do they tell you about angle relationships?
Answer (a):
Yes, by $\text{AA~}$ .
Draw a flowchart to display your conclusions.
Solve for $x$ . Show all work.
Hint (b):
Corresponding sides of similar triangles are proportional.
More Help (b):
$\frac{20}{x}\ =\ \frac{_{\ \ \ \ \ \ \ \ \ \ \ }}{ }$

Line segments, EG, &, FH, intersect at a point labeled, Z, with segments from, E, to, H, & from, F, to, G, creating 2 triangles with a shared vertex, labeled as follows: Side, EZ, 20, Side, HZ, 24, side, FZ, x + 2, side, GZ, labeled, x, sides, E,H, & FG, each have one arrow.