Now see if you can write some similarity statements on your own. First review these steps for analyzing two similar triangles. Then answer the questions beneath the list of steps.
| Write a similarity statement for the triangle itself, being careful that the vertices match up. |
| Write statements about the congruent angles. |
| Write statements about the proportions for the corresponding sides. |
Analyze this triangle and answer the questions beneath it. When you get to the last screen, compare your answers with those that are given.
Are the two triangles above similar? Why or why not?
What statements can you write about the angles?
What statements can you write about the sides?
| Your Responses | Sample Answers |
|---|---|
| These two triangles are similar because the corresponding angles are congruent and the corresponding sides can be written in a common ratio. | |
| \(\small\mathsf{ \angle{A} \cong \angle{D} }\) \(\small\mathsf{ \angle{B} \cong \angle{E} }\) \(\small\mathsf{ \angle{C} \cong \angle{F} }\) |
|
| \(\small\mathsf{ \frac{AB}{DE} = \frac{AC}{DF} = \frac{BC}{EF} }\) |
