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It can't have exactly three (it can be a square and have four). Reflecting about a line of symmetry swaps at least two corners of the quadrilateral: a corner has to be symmetric to a corner, and if all four were symmetric to themselves, they'd all have to be on a line, which is impossible. Moreover, different lines of symmetry swap different pairs of corners. Once you pick two corners, there is only one line of symmetry which could possibly swap them - the perpendicular bisector of a segment drawn between the two corners. If two different corners are symmetric, that means that their angles are equal. So three lines of symmetry means that there are three pairs of corners with equal angles. Since there are only four corners total, the only way for this to happen is for all four corners to have equal angles. Then it's either a rectangle (which doesn't work - only two lines of symmetry) or a square (which has four lines of symmetry). Neither possibility has exactly three.
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Show three 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.
Which of these letters have no lines of symmetry ABCDEFG?
Of the the seven letters, ABCDEFG, F and G have no lines of symmetry. However,Êall of them could have lines of symmetry if theyÊwere presented in three dimensions.
How many lines of symmetry does a regular triangle have?
A regular triangle (aka equilateral triangle) has three lines of symmetry - these are its medians, In general, a regular n-gon has n lines of symmetry.
What Three digit numbers that have 3 lines of symmetry?
111 and 888 are two possible examples, although it all depends on the font.
Does a triangle have more than 1 line of symmetry?
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.
