Question

Determine whether each pair of figures is similar. Justify your answers. Problem number 12

Answer 1

Step 1

Given;

Step 2

In the figure;

`\begin{gathered} Both\text{ triangles share the same side XW} \\ \end{gathered}`
`Also\text{ sides XY }\cong XW\cong XZ(Given)`
`Also\text{ YW}\cong WZ\cong10\text{ \lparen Given\rparen}`

Thus; the triangles are congruent by Side Side Side (SSS)

Since all congruent triangles are similar, then it follows that the triangles are similar.

Answer; They are similar