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Is it possible for a quadrilateral to have three lines of symmetry?
Wiki User
∙ 15y ago
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.
Wiki User
∙ 15y ago
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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.
What is a quadrilateral that has 3 lines of symmetry?
A quadrilateral cannot have just 3 lines of symmetry. If it has three, then it must have 4 and is a square.
Is it possible for a pentagon to have three lines of symmetry?
No, it can only have 0, 1 or 5 lines of symmetry.
What figure has exactly three lines of symmetry?
An equilateral triangle has exactly three lines of symmetry. It is the only shape that contains exactly three lines of symmetry.
How can I Draw 2 lines of symmetry on a triangle?
You cannot. An equilateral triangle has 3 lines of symmetry, an isosceles has one and a scalene none. So there is no triangle with two lines of symmetry. Of course, you could draw only two of the three possible lines of symmetry for an equilateral triangle.
What are the three lines of symmetry?
An equilateral triangle has 3 lines of symmetry
Which shape has three lines of symmetry?
An equilateral triangle has 3 lines of symmetry
How many lines of symmetry of a equalateral triangle?
An equilateral triangle has three lines of symmetry.
Do all triangles have three lines of symmetry?
no, only equilateral triangles have 3 lines of symmetry
Which quadrilateral has no order of rotational symmetry but one line of symmetry?
A kite, An arrowhead, an isosceles trapezium are three possibilities.
How many lines of symmetry does an equilateral have explain?
An equilateral triangle has three lines of symmetry. Each line of symmetry passes through a vertex and bisects the opposite side, resulting in three equal parts.
How many line of symmetry does a hexagon have?
A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.
How many lines of symmetry does aequilateral triangel have?
three line of symmetry
