Congruent Triangles will have corresponding angles that are congruent and corresponding sides that are congruent. [br]Check to determine if the two triangles are congruent and then answer the questions below.
Are the two triangles congruent?
Divide the corresponding lengths:[br][math]\frac{BC}{ZY},\frac{AC}{XY},\frac{AB}{XZ}[/math][br]What do you always get? Why does this make sense?
Are the two triangles above congruent?[br][br]Explain in detail why or why not?[br]Are the angles congruent?[br]Are the sides congruent?
Divide the corresponding lengths:[br][math]\frac{BC}{ZY},\frac{AC}{XZ},\frac{AB}{XY}[/math][br][br]What do you notice?
**Spoiler** The two triangles above are not congruent....they are however similar. This is why I didn't like when you used "similar" or "same shape" to describe congruency. [br][br][b]Finish this sentence:[/b][br][br]Two triangles are similar when the angles are ______________________________ and the sides ________________________________
Are the two triangles above similar? Explain your reasoning.
Are the two triangles above similar? Explain your reasoning.
Are the two triangles above similar? Explain your reasoning.