Question

Challenge! Ready? Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figure is not drawn to scale.

Answer 1

If they are, tell me the reason why. Hint, what sides go together? What ratio?

Answer 2

That is the key to knowing ;)

Answer 3

do you see any angles that are the same?

Answer 4

are the corresponding sides in the same ratio?

Answer 5

Polygons are similar if the following two conditions are met:
1. All angles of one polygon are congruent to the corresponding angles of the other polygon.
2. All pairs of corresponding sides have the same ratio of lengths.

Answer 6

If you can meet those conditions they are similar.

Answer 7

Indeed.

Answer 8

Whoever gets the answer will win~!

Answer 9

Look at the polygons.
One has sides 6, 6, 2.8, 2.8
The other has sides 4.5, 4.5, 2.1, 2.1
Since in each polygon, each pair of opposite sides is congruent, both polygons are parallelograms.

Answer 10

mhm

Answer 11

Agreed

Answer 12

In a parallelogram, opposite angles are congruent.
That means each polygon has opposite angles measuring 110 degrees and another pair of opposite angles measuring 70.
That means the corresponding congruent angles are present.

Answer 13

You are correct about the decimals!

Answer 14

What sides go together?

Answer 15

Since you agree, and it seems you really know about this, I'll let you finish.

Answer 16

Hopefully no one says the answer before you

Answer 17

I'm hoping you tell me the answer. I'd like to hear it from you.

Answer 18

Why would I tell? It is a challenge

Answer 19

Whoever answers correctly wins the medal

Answer 20

You got it right so far

Answer 21

Begins with T

Answer 22

another hint....after that is U

Answer 23

Who will get it?

Answer 24

No more hints?

Answer 25

You need more professor?

Answer 26

don't need a medal. you already know they are similar. DGE = VTU

Answer 27

That is not it.

Answer 28

Here: The first four are TUWV=??

Answer 29

What is congruent to those?

Answer 30

scale factor 3/4

Answer 31

What is congruent to those? Thats all that needs to be solved, too bad that professor is not here

Answer 32

defg

Answer 33

That is correct. But since you are different person; actually. You also have to tell me the decimals

Answer 34

/ratio

Answer 35

Ignore this

Answer 36

Anyone??

Answer 37

wb mathstudent, looks like you are going to be the winner

Answer 38

To finish, you must look at the ratios of the lengths of the sides:

\(\dfrac{6}{4.5} = \dfrac{4}{3} \)

\(\dfrac{2.8}{2.1} = \dfrac{4}{3} \)

The ratios of the corresponding sides are equal, so the quadrilaterals are similar.
Now we need to write the correct statement of similarity.

Answer 39

quadrilateral TUWV ~ quadrilateral DEFG

Answer 40

Correct

Answer 41

thanks