Question

Which polygons are congruent?

Choose all answers that are correct.

https://static.k12.com/calms_media/media/1574000_1574500/1574335/1/07d22464142c5d848873609268c9dba467e92839/MS_IMC-141231-111307.jpg

https://static.k12.com/calms_media/media/1574000_1574500/1574336/1/59e0c10ca51cb3ae880b17bc418e4a71cab6b777/MS_IMC-141231-111308.jpg

https://static.k12.com/calms_media/media/1574000_1574500/1574337/1/63a02b13cafa811a1cc04102d3ecd2b75dfa306c/MS_IMC-141231-111309.jpg

Answer 1

@WhatTehHeck

Answer 2

i think it is a and c

Answer 3

A and C are, but what about B?

Answer 4

How do you know if two polygons are congruent?
What is the definition of congruent polygons?

Answer 5

so then it would be all of them now that i look at it

Answer 6

Yes.

Answer 7

thanks can u help wih more

Answer 8

I can try.

Answer 9

Figure LMNOPQ ≌ figure STUVWX, m∠M = 25°, m∠P = 103°, and m∠Q = 47°.

What is m∠X?

Answer 10

Is there a picture?

Answer 11

no. but i think that the answer is 47 though

Answer 12

This goes back to the definition of congruent polygons.
If two polygons are congruent, then all pairs of corresponding sides are congruent, and all pairs of corresponding angles are congruent.
Corresponding angles are easy to tell because the vertices are written in the order they correspond.
Since the way you were given the polygons to be congruent is figure LMNOPQ ≌ figure STUVWX, you see that angle Q corresponds to angle X. That makes them congruent.
Since you are told that m∠Q = 47°, then m∠X = 47°.
You are correct.

Answer 13

A sporting goods store sells triangular team pennants in two sizes. The base of one pennant is 18 in. and the length of the side is 9 in. The other pennant is similar to the larger pennant and has a base that is 6 in.

What is the length of the side of the smaller pennant?

Answer 14

3?

Answer 15

Correct.
Since the figures are similar, and the small base is 3 times smaller than the large base, then the side is also 3 times smaller.
That makes the small side 9 in./3 = 3 in.

Answer 16

Figure WXYZ ~ figure WꞌXꞌYꞌZꞌ.

What is the value of a?

Answer 17

https://static.k12.com/calms_media/media/1574000_1574500/1574338/1/6a9c3ac4de3fd4faee45bb962a67c8556c39e1de/MS_IMC-141231-111310.jpg

Answer 18

Please, in the future, stick to OS rules, and start a new post for each new problem.

Answer 19

Look at the two rectangles.
Is there a pair of sides in the large and small rectangles that is corresponding and that you know both lengths?