Question

given that pentagon ABCDE is congruent to pentagon FGHIJ find the value of m

A) 2
B) 5
C)6
D)7
PICTURE IN COMMENTS

Answer 1

http://media.education2020.com/evresources/2004-02-02-02-00_files/i0210000.jpg

Answer 2

the two figures are congruent, so "corresponding sides" are equal
in this case
2m+ 1 = 3m -1

Answer 3

You need a side in one pentagon and a side in the other pentagon that are both congruent and both have expressions in m.
Do you find them?

Answer 4

@phi
Interestingly, in this problem, the figure shows that sides AB and FG are congruent, so without the statement about the congruence of the pentagons, the two lengths can be equated.

Answer 5

would it be 5

Answer 6

they want the value of m
you solve the equation
3m-1 = 2m+1
for m
can you do that?

Answer 7

I would add+1 to both sides
then add -2m to both sides

Answer 8

is it 2

Answer 9

3m-1 = 2m +1
add 1 to both sides
3m -1 + 1 = 2m + 1 + 1
on the left side -1+1 is 0. on the right side 1+1 is 2
3m = 2m +2
now add -2m to both sides
3m - 2m = 2m -2m + 2

on the right side, 2m - 2m (2 m's take away 2 m's leaves 0 m's or 0)
3m -2 m = 2
on the left side you have 3 m's take away 2 m's. how many m's are left ?

Answer 10

1

Answer 11

yes, 3m -2m is 1m
so the equation is
1m = 2
or
m=2
so that is the answer.

Answer 12

thanks