Question

can anyone help plz

Answer 1

Place a penny on each vertex of the polygon(9 PENNYS). Take turns removing one penny or two pennies from adjacent vertices. The player who picks up the last coin(s) is the winner.
TELL WEATHER ITS TRUE OR FALSE WHY

Connor: If the first player removes one penny, I’ll visualize the line of symmetry containing the “empty” vertex and remove the two adjacent pennies on opposite sides of the symmetry line. If the first player removes two pennies on the first move, then I’ll visualize the line of symmetry between the two empty vertices and remove the penny on the symmetry line.

This strategy will always leave three pennies on each side of the symmetry line after we each make our first move. After that, I’ll match each play the first player makes by choosing the mirror image. So, I’ll be able to remove the final coin(s)

Answer 2

@skullpatrol thanks for your help!

Answer 3

Are you convinced, there will be 3 pennies on either side of line-of-symmetry, after each makes their first move ?

Answer 4

so is this strategy true or not? @ganeshie8

Answer 5

@Chineseboy15 can u help if u are a lifesaver?

Answer 6

well the question is not just asking if its true or not.
the question is asking, if its true why its true; and if its false, why its false

Answer 7

you will have to take it step by step and convince urself if it works always

Answer 8

ya thats right @ganeshie8

Answer 9

can u try, and answer my question above (my first reply)

Answer 10

Sorry, I cannot open your attachment, sanra123.

Answer 11

@Chineseboy15 here

Answer 12

im convinced

Answer 13

and we assume that the strategy is only for Nonagon; we dont care about other polygons

Answer 14

ok..

Answer 15

true

Answer 16

good, so we're left wid 3 pennies on either side of the line-of-symmetry.

Answer 17

true..

Answer 18

lets talk about second move now

Answer 19

ok

Answer 20

second move : the first player has two choices : he can take two ADJACENT pennies, or just one penny

Answer 21

yes thats true

Answer 22

@ganeshie8 ? are u there

Answer 23

@Chineseboy15 i posted it can u help

Answer 24

Place a penny on each vertex of the polygon(9 PENNYS). Take turns removing one penny or two pennies from adjacent vertices. The player who picks up the last coin(s) is the winner.
TELL WEATHER ITS TRUE OR FALSE WHY

Connor: If the first player removes one penny, I’ll visualize the line of symmetry containing the “empty” vertex and remove the two adjacent pennies on opposite sides of the symmetry line. If the first player removes two pennies on the first move, then I’ll visualize the line of symmetry between the two empty vertices and remove the penny on the symmetry line.

This strategy will always leave three pennies on each side of the symmetry line after we each make our first move. After that, I’ll match each play the first player makes by choosing the mirror image. So, I’ll be able to remove the final coin(s)

Answer 25

I will try.

Answer 26

kk

Answer 27

Let us play this game, all right?

Answer 28

kk

Answer 29

9 coins

Answer 30

u

Answer 31

sorry was on phone,
can we finish now ?

Answer 32

okk lets finish

Answer 33

now as u said he will have 2 choices

Answer 34

Continued...

that means : In second move, the First player can only take two pennies from ONLY ONE SIDE

Answer 35

yes

Answer 36

if he takes two pennies, he CANNOT take them from opposite sides of line of symmetry. (WHY ? )

Answer 37

there will be space

Answer 38

right?

Answer 39

Exactly ! there will be space, and the pennies on opposite sides are NEVER adjacent... Cuz, he broke it in the first move... he divided the pennies into two groups... both are disconnected

Answer 40

ya now i get it

Answer 41

So, on second move : IF the first player takes 2 pennies on one side, the second player can take 2 pennies on opposite side

Answer 42

so now how will we write it false, because...................

Answer 43

After second move, there will be two pennies left, one on each side of line-of-symmetry

Answer 44

wat happens during third move ?

Answer 45

each one takes 1 penny?

Answer 46

whi is the winner ?

Answer 47

*who

Answer 48

why ? u forgot the rules it seems

Answer 49

whoever takes the LAST penny is the winner

Answer 50

ohhhh right sorry!

Answer 51

Sorry, my computer lost the connection.

Answer 52

now.. the strategy is false,.........................

Answer 53

right?

Answer 54

the second player always has the tempo
he is forcing the first player to leave one penny in the end.

Answer 55

second player is always winning, by this strategy. so... ?

Answer 56

id leave the conclusion to you, you may have to go through this exercise again to *see* why the second player always wins if he sticks to this strategy.

Answer 57

I have said that we can play this game.