Question

Complete the table. One has been done for you.

Triangles	corresponding angles	corresponding sides
$∆PET$ and $∆WHO$	$\angle P\leftrightarrow \angle W$	$PE\leftrightarrow WH$
	$\angle E\leftrightarrow \angle H$	$ET\leftrightarrow HO$
	$\angle T\leftrightarrow \angle O$	$PT\leftrightarrow WO$
$∆EPT$ and $∆OHW$

Answer 1

Step 1: Comparing $∆PET$and $∆WHO$

Pairs of the corresponding sides and angles of the two triangles can be found depending on the relative position of the sides and angles as named in the triangles.

From $∆PET$and $∆WHO$

$\angle P\leftrightarrow \angle W,$$\angle E\leftrightarrow \angle H,$$\angle T\leftrightarrow \angle O$ $[$ corresponding angles$]$

$PE\leftrightarrow WH$ $ET\leftrightarrow HO$ $PT\leftrightarrow WO$ $[$ corresponding sides$]$

Step 2: Comparing $∆EPT$ and $∆OHW$

$\angle E\leftrightarrow \angle O,$$\angle P\leftrightarrow \angle H,$$\angle T\leftrightarrow \angle W$ $[$ corresponding angles$]$

$EP\leftrightarrow OH,$$PT\leftrightarrow HW,$ $ET\leftrightarrow OW$ $[$ corresponding sides$]$

Triangles	Corresponding angles	Corresponding sides
$∆PET$ and $∆WHO$	$\angle P\leftrightarrow \angle W$	$PE\leftrightarrow WH$
	$\angle E\leftrightarrow \angle H$	$ET\leftrightarrow HO$
	$\angle T\leftrightarrow \angle O$	$PT\leftrightarrow WO$
$∆EPT$ and $∆OHW$	$\angle E\leftrightarrow \angle O$	$EP\leftrightarrow OH$
	$\angle P\leftrightarrow \angle H$	$PT\leftrightarrow HW$
	$\angle T\leftrightarrow \angle W$	$ET\leftrightarrow OW$