Question

Sam made this cardboard cutout below.
Sam wants to add 4 polygons to PQRST to create rectangle ABCD, where the points P, Q, R, S, T lie on the sides of the rectangle. Which statement about the polygons he adds must be true?
-Each has 4 sides.
-Each has all acute angles.
-All four polygons are concave.
-All four polygons are irregular.

Answer 1

@Hero

Answer 2

@apoorvk

Answer 3

@AccessDenied

Answer 4

so does this mean it is A)all have four sides?

Answer 5

@apoorvk

Answer 6

I thought I did help you

Answer 7

yea but is it A, then?

Answer 8

Does a triangle have 4 sides?

Answer 9

nope

Answer 10

If you look closely, you'll see that the 4 smaller polygons that were added form triangles. Sure, the larger polygon is a rectangle, but the smaller ones are triangles.

Answer 11

but its talking about a polygin and a rectangle? im confused ;/ theres something I am doing wrong

Answer 12

i looked at the image, its true....so it is B

Answer 13

You have to look closer to see that 4 smaller polygons added are triangles

Answer 14

I'm still here

Answer 15

I looked at the image, so it is B

Answer 16

The angles aren't ALL acute. They form 90 degree angles at certain points

Answer 17

because option c doesnt seem fit, it doesnt indicate wether they are concave(similar side and angles)

Answer 18

actually with what you just wrote, seems like it is option c?

Answer 19

What about option D ?

Answer 20

You seemed to have automatically eliminated that as a possibility

Answer 21

well option D, can be a possibilty but at the same time there is a point where the form 90 degree angles

Answer 22

Do those smaller polygons look regular to you? A polygon is either regular or irregular. We both know that the only way a triangle can be regular is if all three angles are 60 degrees.

Answer 23

Do you want me to explain this to you in vyew?

Answer 24

please ;)

Answer 25

they are not regular

Answer 26

Precisely. So they must be irregular