Lines of Symmetry Practice

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Question 2
How many lines of symmetry does this parallelogram have?
parallelogram picture

Answer

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A. 0
B. 2
C. 4
D. 6
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Step by Step Solution 

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Step 1
When we fold the parallelogram along this line, both sides of are not the identical.

Therefore, this line is not a line of symmetry
parallelogram with vertical line
parallelogram folded along the vertical line
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Step 2
Again, we observe the same thing when this star is folded along this line.
parallelogram folded along the diagonal line
parallelogram with diagonal line
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Step 3
Same here...
parallelogram folded along the horizontal line
parallelogram with horizontal line
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Step 4
...and here as well...
parallelogram folded along the diagonal line
parallelogram with diagonal line
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Step 5
From Step 1 to Step 4, we can see that this parallelogram has 0 line of symmetry.

Clearly, the answer is A.
parallelogram with all the lines
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