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Kifwa
The definition of a regular polygon is that the sides and angles must all equal.

Because 1 and 2 have the same tick marks and angle marks all around.

The answer would be C. Figure 1 and 2 only.
A regular polygon is a shape that is equiangular, meaning all angles are the same, and equilateral, meaning all sides are the same. You can just look at the symbols inside the angles and in the middle of every side. If there are more than one different kinds of symbols, such as two lines and one line on two different sides of the same shape (like in figure 4) or two circles and one circle in two different angles of the same shape (like in figures 3 and 4), they are irregular.

Figure 1 is regular

Figure 2 is regular

Figure 3 is irregular

Figure 4 is irregular

The answer is C. Figure 1, and 2 only