Mathematics
bill533:

How many lines of symmetry does this figure have? [Note: The black ball is part of the figure.] A) 0 B) 1 C) 5 D) 10 E) infinitely many

bill533:

bill533:

@dude

dude:

Ideas? Usually a pentagon has 5 lines of symmetry but because of the black ball, it is limited

dude:

Thats the opposite of what I just said It's limited, not unlimited Try to make lines on the pentagon and see if the sides are equal |dw:1571501409138:dw|

dude:

Usually a pentagon has 5 lines of symmetry but because of the black ball, it is limited

bill533:

ok C

bill533:

@dude

dude:

Stop guessing I am telling you what to do, please read what you are told and perhaps you'll be able to get your answer on your own It is not 5 |dw:1571502362383:dw| It that equal on both sides?

bill533:

yes

Gdeinward:

There are no lines of symmetry: |dw:1571503361547:dw|

Gdeinward:

Although the image is crude, look at the plotted lines of symmetry. How many of the lines split the figure into 2 symmetrical halves?

Gdeinward:

And by equal, dude means, is the shape mirrored on either side of the line.

Gdeinward:

If you folded it in half, would the sides match?

bill533:

well since you put it like that, it wouldn't

Gdeinward:

Why? because of that black ball. So which of the plotted lines of symmetry actually split the shape in the described method.

Gdeinward:

$$\color{#0cbb34}{\text{Originally Posted by}}$$ @Gdeinward There are no lines of symmetry: Created with RaphaëlReply Using Drawing $$\color{#0cbb34}{\text{End of Quote}}$$ THere are no lines of symmetry is inaccurate. Forget I said that.

bill533:

0

Gdeinward:

Why do you think that?

bill533:

oh wait my mistake

bill533:

i believe it would only be 1

Gdeinward:

Okay, how did you arrive to this conclusion.

bill533:

by the question you asked: How many of the lines split the figure into 2 symmetrical halves? i looked at the figure with the lines you did and i seen it would be only 1 split

Gdeinward:

You are correct. I just wanted to ensure that you understood the factors at play. You can see that the line |dw:1571504636919:dw|

Gdeinward:

cuts the ball into two equal halves. Otherwise, there are no other lines of symmetry that do this

bill533:

ok i get it now, could you help check over more

Gdeinward:

sure, just do one question per post.

bill533:

yes sir

bill533:

i posted it

bill533:

The figure has 1 line of symmetry, passing through the black ball from lower left to upper right.