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Since the statement does not say that they have exactly two lines of symmetry, I do not believe that there is a counter example.

Q: What is a counterexample of All rectangles have two lines of symmetry?

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NO rectangles are trapezoids

They may have no lines of symmetry or they may have some - it all depends upon the shape of the irregular octagon. Only regular octagons have 8 lines of symmetry.

If your asking what shape has three lines of symmetry, your answer would be an equilateral triangle. You can tell how many lines of symmetry a shape that has all angles of the same measure has by looking at it's angles. Ex., pentagon has five angles--five lines of symmetry; octagon has eight angles, eight lines of symmetry; etc.

Depending on the triangle, there can be 0, 1, or three lines of symmetry. A scalene triangle (all sides of different lengths) will have no lines of symmetry, an isosceles triangle (exactly two sides of the same length) will have one line of symmetry, and an equilateral triangle (all three sides of the same length) will have three lines of symmetry.

A scalene triangle. Though it's usually defined as having three sides of different lengths, this is an equivalent definition: all equilateral triangles have three lines of symmetry, and all isosceles triangles have one (no triangle has two lines of symmetry).

Related questions

4

All squares are rectangle, but not all rectangles are square. The expected answer is "a square" ... A square has 4 lines of symmetry. A rectangle that is not a square has 2 lines of symmetry. However, the question is ambiguous. Since a square is a rectangle you can say that some rectangles have 4 lines of symmetry. A better question is, "Which has more lines of symmetry; a square, or a rectangle that is not a square?"

any parallelogram that does not have right angles.

All rectangles have 2 axes of symmetry, which are the lines joined by the two pairs of midpoints of opposite sides.

They make two congruent rectangles, not to rectangles! This is because the line joining the midpoints of opposite sides are lines of [reflective] symmetry.

The only known shapes with two lines of symmetry are rhombus and rectangles. These shapes are found by the test of line of symmetry of certain shapes.Sketch a rectangle, which has two pair of congruent and parallel lines and all right angles. Indicate the lines of symmetry. They should pass through each opposite midpoint of the segments of the rectangles.Sketch a rhombus, the shape that has all congruent sides, but have two pairs of congruent angles, which are different from another. Indicate the lines of symmetry. They should pass through both opposite vertices of the rhombus.

not all shapes have lines of symmetry. one example is a triangle.

All regular octagons have the same number of lines of symmetry, but octagons with unequal sides would have fewer lines of symmetry.

The square is the only one I can think of. The lines are vertical, horizontal, and both diagonals.

Not all 4 sided quadrilaterals have lines of symmetry although some of them do have lines of symmetry.

Yes!

no, only equilateral triangles have 3 lines of symmetry