Question

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

Explanation:

Step1: Analyze Line Symmetry

A figure has line symmetry if there's a line (axis) that divides it into two mirror - image halves. For this figure (three equilateral - like triangles meeting at a point), we can draw three lines of symmetry. Each line passes through the vertex of one triangle and the mid - point of the opposite side (or the base of the opposite triangle). So, the figure has line symmetry.

Step2: Analyze Point Symmetry

A figure has point symmetry if rotating it 180° around a central point maps the figure onto itself. If we rotate this figure 180° around the central point, the top triangle will go to the bottom (but the orientation of the triangles will be reversed, and it won't match the original figure). So, it does not have point symmetry.

Step3: Analyze Rotational Symmetry

A figure has rotational symmetry if rotating it by an angle (less than 360°) around a central point maps the figure onto itself. For this figure, if we rotate it by 120° (since \(360\div3 = 120\)) around the central point, the figure will map onto itself. So, it has rotational symmetry.

Answer:

• Line Symmetry (checked)
• Rotational Symmetry (checked)
• Point Symmetry (not checked)
• None of the above (not checked)

So the correct options are:

• Line Symmetry
• Rotational Symmetry