Question

Tell whether the pair of polygons is similar. Explain why or why not. (3 points) I get the general idea of this but I’m having trouble finding the ratio and scale factor.

Answer 1

Answer:

PQRS and TUVW are similar.

Step-by-step explanation:

We are give two polygons.

Sides of first polygon are :

PQ = 8 ft

QR= 13ft

RS = 8ft

PS = 13ft.

Sides of second polygon:

TW = 2.4 ft

TU = 5.2 ft

UV = 2.4 ft

VW = 5.2 ft.

We can see that PQRS and TUVW are parallelograms.

Note: If an angle of a parallelogram is equal to an angle of another parallelogram then parallelograms would be similar.

We can see that <Q ≅ <T = 120°.

Therefore, PQRS and TUVW are similar.

Answer 2

Answer:

Parallelograms are not similar.

Step-by-step explanation:

In geometry, similarity between to figures, refers to a proportion. Between both figures there's a ratio that make bigger one from another, that ratio is a constant number for all sides, otherwise it won't be proportional, and not similar.

In this case, we don't have proportional sides, because the longer side has a reason of 2.5, and the smaller sides have a reason of 3.33. We can find these reasons by dividing:

$\frac{13}{5.2}=2.5$

$\frac{8}{2.4}=3.33$

So, the absence of a constant ratio means that they are not similar. The 8 side must be equal to 6ft, that way parallelograms would be similar becaur 6/2.4=2.5