Learn symmetry with Top Tutors

Sure, here are four English letters that have no line of symmetry:

1. Letter "S"
2. Letter "J"
3. Letter "R"
4. Letter "K"

Certainly! Here are five English letters that have a horizontal line of symmetry:

1. Letter "A"
2. Letter "H"
3. Letter "M"
4. Letter "O"
5. Letter "U"

Let's address each shape one by one:

(a) Rectangle: A rectangle has two lines of symmetry: one vertical line passing through the center, and one horizontal line passing through the center. These lines divide the rectangle into four congruent quadrants.

(b) Square: A square has four lines of symmetry: two diagonal lines passing through the center, and two lines of symmetry, one vertical and one horizontal, passing through the center and perpendicular to each other. These lines divide the square into four congruent quadrants.

(c) Parallelogram: A parallelogram has no lines of symmetry, except in the special case where it is a rectangle or a square. In general, a parallelogram does not have any lines of symmetry because its opposite sides are parallel but not necessarily congruent.

(d) Right-angled triangle: A right-angled triangle has one line of symmetry, which is the perpendicular bisector of the hypotenuse (the side opposite the right angle). This line divides the triangle into two congruent right-angled triangles.

In summary:

• Rectangle: 2 lines of symmetry
• Square: 4 lines of symmetry
• Parallelogram: 0 lines of symmetry (except for rectangles and squares)
• Right-angled triangle: 1 line of symmetry

The letter "Z" of the English alphabet has 2 lines of symmetry.

1. The first line of symmetry is vertical, passing through the center of the letter, dividing it into two mirror-image halves.
2. The second line of symmetry is diagonal, passing from the upper-left corner to the lower-right corner, dividing the letter into two congruent triangles.

So, the letter "Z" has 2 lines of symmetry.