Question

Which is the most accurate name for the polygon shown?

concave pentagon

convex hexagon

concave hexagon

convex pentagon

Answer 1

how many sides are there?

Answer 2

6 sides, so it's definitely one of the two hexagons.

Answer 3

well i no its a hexagon but the other part i dont know

Answer 4

now ask yourself this: are there any interior angles that are greater than 180 degrees?

Answer 5

do you see any such angle?

Answer 6

i think so

Answer 7

which angle (or angles)?

Answer 8

honestly i dont really know

Answer 9

it turns out that all the angles you see there are less than 180 degrees

Answer 10

so because of this, the polygon is a convex polygon

Answer 11

alright

Answer 12

so it's a convex hexagon

Answer 13

ohh okay and thats cause there less than 180 degrees?

Answer 14

yes

Answer 15

ohh okay

Answer 16

here's a polygon where the angle is NOT less than 180 degrees

Answer 17

This interior angle I just highlighted is greater than 180 degrees

Answer 18

So it's a concave polygon

Answer 19

thats good to know