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Complete the figure and draw its lines of symmetry.

Mathematics

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Step-by-step solution

3 steps

To complete the figure and draw its lines of symmetry, follow these steps using a ruler and compass (and a protractor for angle measurement, as precise construction of 72∘72^\circ with only ruler and compass is complex and usually not expected in this context when a figure is already partially drawn).

Part 1: Complete the figure

  1. Identify the center of rotation O and the two given segments.

    Let the endpoints of these segments be P and Q. So, you have segments OP and OQ.

  2. Using a ruler, measure the length of segment OP.

    Let this length be LL. (Verify that OQ also has length LL. If not, assume they should be equal for rotational symmetry).

  3. The figure has rotational

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