Question

Examine the triangles shown below. (a) Are the corresponding angles of the triangles congruent? Support your answer with an explanation. (b) Are the corresponding sides proportional? Support your answer with an explanation. (c) Are the triangles similar?

Answer 1

To find if the corresponding sides are proportional you use the next:

`\begin{gathered} (AB)/(A^(\prime)B^(\prime))=(BC)/(B^(\prime)C^(\prime))=(CA)/(C^(\prime)A) \\ \\ \end{gathered}`

Then, for the given traingles:

`\begin{gathered} (7)/(12.6)=0.55 \\ \\ (24)/(43.2)=0.55 \\ \\ (25)/(45)=0.55 \end{gathered}`As the ration between the corresponding sides is the same (0.55) they are proportional.The triangles are similars as the corresponding sides are proportional.