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determine if the figure has line, point, and/or rotational symmetry. ch…

Question

determine if the figure has line, point, and/or rotational symmetry. check all that app
line symmetry
point symmetry
rotational symmetry
none of the above

Explanation:

Brief Explanations
  1. Line Symmetry: A figure has line symmetry if there's a line that divides it into two mirror - image halves. For this double - arrow - like figure, we can find a vertical line (or a horizontal line? Wait, actually, if we draw a vertical line through the center of the figure, the left and right parts are mirror images. Wait, no, looking at the figure, it's two arrows pointing in opposite directions (left and right) connected. If we draw a horizontal line through the center, the top and bottom? Wait, no, let's think again. The figure is symmetric about the vertical line that passes through the middle of the connecting part. Also, it's symmetric about the horizontal line through the center? Wait, no, the correct way: the figure can be folded along a vertical line (through the center) so that the left arrow maps to the right arrow and vice - versa. So it has line symmetry.
  2. Point Symmetry: A figure has point symmetry if rotating it 180 degrees about a point (the center) maps the figure onto itself. If we rotate this figure 180 degrees about the center point, the left - pointing arrow will point right and the right - pointing arrow will point left, and the shape will match the original. So it has point symmetry.
  3. Rotational Symmetry: Rotational symmetry means that rotating the figure by an angle (less than 360 degrees) about a center maps it onto itself. Since rotating it 180 degrees (which is less than 360) maps it onto itself, it has rotational symmetry (specifically, 180 - degree rotational symmetry).

Answer:

  • Line Symmetry
  • Point Symmetry
  • Rotational Symmetry