a) A quadrilateral with a vertical line of symmetry but no horizontal line of symmetry:

Imagine an isosceles trapezoid where the top and bottom bases are parallel, and the non-parallel sides are of the same length. This shape would have a vertical line of symmetry (cutting it vertically through the middle) but no horizontal line of symmetry since the two halves wouldn’t mirror each other when cut horizontally.

b) A quadrilateral with both horizontal and vertical lines of symmetry:

This would be a rectangle or a square. If you cut it horizontally or vertically through the middle, you’d get mirrored halves.

c) A triangle with a vertical line of symmetry:

This is an isosceles triangle. When you draw a line from the apex (the top vertex) down to the midpoint of the base, the two sides of the triangle are mirror images of each other.

d) A quadrilateral with four lines of symmetry:

This is a square. You can cut it horizontally, vertically, or along either of the two diagonals, and each time the two halves will be mirror images of each other.

e) A regular pentagon with five lines of symmetry:

A regular pentagon has all sides of equal length and all angles equal. Each of its lines of symmetry will pass through a vertex and the midpoint of the opposite side. Thus, a regular pentagon has five lines of symmetry.

If you attempt to sketch these shapes based on the descriptions, you’ll be able to visualize the symmetry lines better!