Questions: Select the correct answer from each drop-down menu. There are seven lines of reflection across which the regular polygon ABCDEFG can reflect to map onto itself. One of them is a of

Select the correct answer from each drop-down menu.

There are seven lines of reflection across which the regular polygon ABCDEFG can reflect to map onto itself. One of them is a of

Transcript text: Select the correct answer from each drop-down menu. There are seven lines of reflection across which the regular polygon ABCDEFG can reflect to map onto itself. One of them is a $\square$ of $\square$

Solution

Solution Steps

Step 1: Identify the Type of Polygon

The given polygon is a regular heptagon (7-sided polygon).

Step 2: Determine the Lines of Reflection

A regular heptagon has lines of reflection that pass through its vertices and the midpoints of its opposite sides.

Step 3: Count the Lines of Reflection

For a regular heptagon, there are 7 lines of reflection. These lines can be categorized into two types:

Lines passing through one vertex and the midpoint of the opposite side.
Lines passing through two opposite vertices.

Final Answer

There are seven lines of reflection across which the regular polygon ABCDEFG can reflect to map onto itself. One of them is a line of reflection passing through a vertex and the midpoint of the opposite side.

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