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Answer:
See the solutions below
Step-by-step explanation:
First note that the opposite side of a parallelogram are equal, hence;
For Parallelogram FIRE
fi = re
ef = ir
Given
fi = (3x-5)cm
ir = (2y -7)cm
re = (x+7)cm
ef = (y+3)cm\
a) If fi = re, then;
3x - 5 = x+7
3x - x = 7+5
2x = 12
x = 12/2
x = 6
b) Since FI = 3x - 5
FI = 3(6) - 5
FI = 18 - 5
FI = 13cm
c) Also ef = ir
y+3 = 2y - 7
y - 2y = -7-3
-y = -10
y = 10
d) EF = y+3
EF = 10 +3
EF =13cm
e) Perimeter of the parallelogram = FI + IR + RE + EF
Perimeter of the parallelogram = 13cm + 13 + 13cm + 13cm
Perimeter of the parallelogram = 52cm
Keep in mind that whenever you have a variable inside an expression, you have to think of it as a placeholder, hiding a certain value which we haven't specified yet.
Expressions with variables are a mean to express the generic idea underneath the expression, rather than its particular value.
So, an expression like x-7 represents the idea of subtracting 7 from a particular number. Once you give a specific value to x, the expression will become an actual subtraction between numbers, and you will be able to compute its value.
So, we have several values for x, which are several ways to turn our "abstract" subtraction into an actual, computable subtraction.
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They are not equivalent.
Answer:
I think it's 4. reflection and glide refection.