Similar Triangles Analysis: Comparing Angles 80°, 60°, and 40° with Given Measurements

Look for equal angle measures! In this problem, both triangles have 80° angles, 60° angles, and 40° angles. Match angles of the same size - the 80° angles correspond, the 60° angles correspond, and so on.

Ideally yes! But if you can show two angles are equal (AA similarity) AND at least one pair of sides is proportional, that's strong evidence. In this case, check if $\frac{4}{6} = \frac{3}{4.5} = \frac{6}{9}$.

This means the triangles are similar for multiple reasons: they satisfy AA similarity (two equal angles) AND they have proportional sides. Both tests confirm the same conclusion!

Absolutely! Similar triangles have the same shape but different sizes. They have equal corresponding angles and proportional corresponding sides. Size doesn't matter - shape does!

Set up the ratios and cross-multiply or convert to decimals. For example: $\frac{4}{6} = \frac{2}{3} \approx 0.67$ and $\frac{3}{4.5} = \frac{2}{3} \approx 0.67$. Equal ratios mean similar triangles!