If two triangles are similar, what can you say about the ratios of the two side lengths within one triangle and the ratios of the corresponding side lengths in the other triangle?
blah!
this is cheating!
isnt it?
No, this is homework help.
Recall the definition of a similar triangle (or look it up), and that should help you.
If two triangles are similar, it means that their corresponding angles are congruent, and the ratios of their corresponding side lengths are equal.
Let's say we have two triangles, triangle ABC and triangle DEF. If these triangles are similar, it means that angle A is congruent to angle D, angle B is congruent to angle E, and angle C is congruent to angle F.
Now, let's look at the ratios of the side lengths within one triangle. Let's consider the ratio of side AB to side BC in triangle ABC. If triangle ABC is similar to triangle DEF, then the corresponding side in triangle DEF would be DE to EF. The ratio of side AB to side BC would be equal to the ratio of side DE to side EF.
In general, the corresponding side lengths in similar triangles have equal ratios. For example, if side AB is twice the length of side BC in triangle ABC, then side DE would also be twice the length of side EF in triangle DEF.
So, if two triangles are similar, we can say that the ratios of the corresponding side lengths in one triangle will be equal to the ratios of the corresponding side lengths in the other triangle.