Answer
Congruent angles:
$\angle R ≅ \angle D$
$\angle S ≅ \angle E$
$\angle T ≅ \angle F$
$\angle V ≅ \angle G$
Extended proportions:
$\frac{RS}{DE} = \frac{ST}{EF} = \frac{TV}{FG} = \frac{VR}{GD}$
Work Step by Step
First, we identify all the pairs of congruent angles:
$\angle R ≅ \angle D$
$\angle S ≅ \angle E$
$\angle T ≅ \angle F$
$\angle V ≅ \angle G$
Now, let's take a look at the corresponding sides in both triangles. An extended proportion is given when at least two of the ratios are equal, as they are in similar polygons:
$\frac{RS}{DE} = \frac{ST}{EF} = \frac{TV}{FG} = \frac{VR}{GD}$
