Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
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Exercise 43 Page 550

Try to find a line of symmetry, a line that cuts the figure into two identical pieces.

Yes

Practice makes perfect

To examine if we can fold the figure and match one side to another we should try to find a line of symmetry. The line cuts the figure into two pieces and both pieces are identical. We will draw a vertical line in the middle of the figure to see if it's a symmetry line.

As we can see in the picture, it's not a symmetry line because the two pieces are not the same. To make a symmetry line the semicircles must be one on each side of the line. Therefore, we will draw the line through the segment in the circle.

The line creates two identical pieces of the figure. Therefore, the answer is yes, the figure can be folded in half so that one side matches the other.