Question

GHJ PQR and PQR – STU. Complete the following using a side or angle of STU

Answer 1

(a)

The angle R of triangle PQR is congruent to the angle U of triangle STU. So

`\angle R\cong\angle U`

(b)

The angle H of triangle GHJ is congruent to angle Q of triangle PQR and angle Q of triangle PQR is congruent to angle T of triangle STU, which means

`\begin{gathered} \angle H\cong\angle Q \\ \angle Q\cong\angle T \end{gathered}`

So,

`\angle H\cong\angle T`

(c)

The side QR of triangle PQR is congruent to the side TU of triangle STU. So

`QR\cong TU`

(d)

The side JG of triangle GHj is congruent to side RP of triangle PQR and side RP of triangle PQR is congruent to side US of triangle STU. So

`JG\cong US`