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If it has exactly two lines of symmetry it must be a quadrilateral?
Wiki User
∙ 14y ago
Not at all. There are an infinite number of figures that have two lines of symmetry. For a start, an ellipse.
Wiki User
∙ 14y ago
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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.
What is the rule to Polygons and lines of symmetry?
Lines of symmetry must be equal halves.
How many lines of symmetry does a paraelleogram have?
A parallelogram need have no lines of symmetry.
Can a trapezoid have two lines of symmetry?
Yes, a trapezoid may have two lines of symmetry, but the trapezoid must also be a rectangle.If the trapezoid is not also a rectangle, the the most symmetry lines it can have possible is 1 (this can only occur it's an isosceles trapezoid.)
What quadrilateral must have exactly one pair of congruent angles?
A kite or arrowhead.
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.
What is the rule to Polygons and lines of symmetry?
Lines of symmetry must be equal halves.
How many lines of symmetry does a paraelleogram have?
A parallelogram need have no lines of symmetry.
If a shape is a regular pentagon with five sides what must be true?
It has reflectional symmetry It has five lines of symmetry It is symmetrical
Example of lines of symmetry in a nonagon?
A line of symmetry must go from one vertex to the midpoint of the opposite side.
Can a trapezoid have two lines of symmetry?
Yes, a trapezoid may have two lines of symmetry, but the trapezoid must also be a rectangle.If the trapezoid is not also a rectangle, the the most symmetry lines it can have possible is 1 (this can only occur it's an isosceles trapezoid.)
What quadrilateral must have exactly one pair of congruent angles?
A kite or arrowhead.
Which quadrilateral must have perpendicular lines?
The quadrilaterals that have right angles must have a perpendicular line because that's where it meets.
If a shape is a regular hexagon with six sides what must be true?
. It has reflectional symmetry It has six lines of symmetry All the internal angles are the same
How many possible line of symmetry does a pentagon have?
At most 5, since all symmetry lines must pass by a vertex. It has 5 if and only if the pentagon is regular.
Definition of a quadrilateral that is not a parallelogram and could have exactly two opposite right angles?
A rectangle is a parallelogram, and neither a trapezoid nor an isosceles trapezoid could have exactly two opposite right angles.So, a quadrilateral that is not a parallelogram and could have exactly two opposite right angles must be a kite.
How do you sketch a figure with rotational symmetry but no line symmetry?
When a shape is rotated about its centre, if it comes to rest in a position and looks exactly like the original, then it has rotational symmetry. A shape like an equilateral triangle would therefore have an order of rotational symmetry of 3. The general rule for a regular polygon (shapes such as pentagons, heptagons, octagons etc. is, that the number of sides is the same as the number of lines of symmetry, which is also the same as the rotational symmetry order). This means that a regular hexagon has 6 sides, 6 lines of symmetry and an order of rotational symmetry of 6. Following from this, then a square, which is a regular polygon, has 4 sides, 4 lines of symmetry and an order of rotational symmetry of 4. If a shape has rotational symmetry, it must have either line symmetry or point symmetry or both. For example, a five pointed star has 5 lines of symmetry and rotational symmetry of order 5, but does not have point symmetry. A parallelogram has no line of symmetry, but has rotational symmetry of order 2 and also point symmetry. Only a shape which has line symmetry or point symmetry can have rotational symmetry. When there is point symmetry and also rotational symmetry, the order of the latter is even. For example, the letter 'S' has rotational symmetry of order 2, the regular hexagon of order 6. On this basis, we would suggest that the letter 'F' does not have a rotational symmetry order as it does not have either line symmetry or point symmetry. It doesn't have a centre around which you could rotate it. Sounds weird, but given the definitions, we think this is the case.
