26. Open-Ended If you stack the letters of MATH vertically, you can find a vertical line of symmetry. Find two other words for which this is true.
27. Think About a Plan A quadrilateral with vertices at (1, 5) and ( − 2 , − 3 ) open negative 2 comma negative 3 close  has point symmetry about the origin. Show that the quadrilateral is a parallelogram.
    • How can you use point symmetry to find the other vertices?
    • How can you show a quadrilateral is a parallelogram?

Tell what type(s) of symmetry each figure has. For line symmetry, sketch the figure and the line(s) of symmetry. For rotational symmetry, tell the angle of rotation.

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30. Reasoning Is the line that contains the bisector of an angle also a line of symmetry of the angle? Explain.
31. Reasoning Is the line that contains the bisector of an angle of a triangle also a line of symmetry of the triangle? Explain.
32. Open-Ended The equation 10 10 − 1 = 0 ÷ 83 83 10 over 10 , minus 1 equals 0 divides , 83 over 83  is not only true, but also symmetrical (horizontally). Write four other equations or inequalities that are both true and symmetrical.

Logos Describe the types of symmetry, if any, of each automobile logo.

Tell whether each three-dimensional object has reflectional symmetry in a plane, rotational symmetry about a line, or both.

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