Example 9
Are these similar figures?
1.
Note that the ratio of the bases of these triangles is . If the other two pairs have the
same ratio, then these are similar figure. We see that
(how do you know this?
(check this too!). So…
Check!) And
Since corresponding sides are proportional these are similar!
2.
Note that one of the corresponding pair (left side) has the ratio .
And we also have
(check!) However,
(check!).
So, these two figures are not similar.
9