Question

Determine whether the two triangles shown are similar. If so, state why (AA, SSS, or SAS) andcomplete the similarity statement.

Answer 1

Given:

The triangle ABC is,

Consider the traingle ABC and ADE,

`\begin{gathered} BC\parallel DE\text{ ans AC is the transversal.} \\ \Rightarrow\angle B=\angle D\text{ and }\angle C=\angle E \\ \text{Also, }\angle A=\angle A\text{ ( common angle)} \end{gathered}`

Hence, the traingles are congruent by AA property.

Answer:

`\Delta ABC\approx\Delta ADE\text{ by AA}`