What information could be helpful to determine if these triangles have corresponding sides that are proportional?
Are the triangles similar? No. Additional information: JH=3
Practice makes perfect
Let's notice that â–ł JHK and â–ł XYW have one congruent corresponding angle, and we are given two sides of each triangle. Since we have no information about the other angle measures, let's think how we can prove similarity using one angle measure and two side lengths.
Now recall the Side-Angle-Side Similarity Theorem.
If two lengths of two sides of one triangle
are proportional to two lengths of two
corresponding sides of another triangle
and the included angles are congruent,
then the triangles are similar.
Using this postulate, we should check if corresponding sides that include congruent angles are proportional.
JH/XW=JK/XY
Let's assume that the above proportion is true and evaluate the length of JH. To do this, we will substitute the given lengths.
If JH had a length of 3, then these triangles would be similar. However, since we do not have such information, we cannot determine if these triangles are similar.
