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Yes, all isosceles trapezoids have reflectional symmetry. This symmetry occurs along a vertical line that bisects the shape, passing through the midpoints of the two bases. The two non-parallel sides are equal in length, ensuring that one half mirrors the other across this line of symmetry. Thus, an isosceles trapezoid can be folded along this line, and the two halves will match perfectly.

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1mo ago

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Related Questions

Are all trapezoids isosceles?

No. Most Trapezoids are not isosceles. The non parallel sides must be congruent to be isosceles.


Are all isosceles trapezoids similar?

No


Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point of symmetry?

False


What symmetry is the quality a design has if it maintains all characteristics when it is rotated about an axis lying in its plane?

Reflectional symmetry


Reflectional symmetry is the quality a design has if it maintains when it is reflected across an axis or line of symmetry.?

All characteristics


Are The lengths of the legs of all isosceles trapezoids are equal?

Yes


Are all trapezoids scalene?

No, not all trapezoids are scalene. A trapezoid is defined as a quadrilateral with at least one pair of parallel sides, and it can have varying side lengths and angles. Some trapezoids can have two sides of equal length, making them isosceles trapezoids, while others can have all sides of different lengths, classifying them as scalene. Thus, trapezoids can be either scalene or isosceles.


Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane is it true?

No, that statement is not true. Reflectional symmetry refers to a design that is identical on both sides of a central line, meaning it can be folded along that line and the two halves will match. The quality of maintaining characteristics when rotated about a point describes rotational symmetry, not reflectional symmetry.


Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point of symmetry.?

Actually, reflectional symmetry refers to a design's ability to be divided into two identical halves that are mirror images of each other along a line of symmetry. It does not involve rotation; instead, it is about flipping the design over the line. For a shape to exhibit reflectional symmetry, one side must be a mirror image of the other side.


What kinds of polygons are symmetrical?

All regular polygons A polygon is symmetrical if its sides that cross the line of symmetry are halved by the line of symmetry and if the sides that do not cross the line of symmetry have the same positions in space, the same lengths, and the same angles with their neighboring sides as do the sides on the other side of the line of symmetry. The only symmetrical triangles are isosceles triangles (equilateral triangles are isosceles). The only symmetrical quadrilaterals are squares, rectangles, rhombi (the line of symmetry connects either pair of opposite corners), isosceles trapezoids, and kites.


Reflectional symmetry is the quality a design has if it maintains all characteristics when it is lying in its plane?

True APEX


Is the quality a design has if it maintains all characteristics when it is rotated about an axis lying in its plane?

Reflectional symmetry