Question

List pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. Given ABDF ~ VXZT

** I NEED HELP I KEEP GETTING IT WRONG**

Answer 1

Given:

`ABDF\sim VXZT`

To find:

The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.

Solution:

We have,

`ABDF\sim VXZT`

The corresponding angles of similar polygons are congruent. So,

`\angle A\cong \angle V`

`\angle B\cong \angle X`

`\angle D\cong \angle Z`

`\angle F\cong \angle T`

The corresponding sides of similar polygons are proportional. So,

`(AB)/(VX)=(BD)/(XZ)=(DF)/(ZT)=(A F)/(VT)`

Therefore, the required solutions are
`\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T` and
`(AB)/(VX)=(BD)/(XZ)=(DF)/(ZT)=(A F)/(VT)`.