nothing
A kite.
The shape is called a "kite" - which fits well with the shape of a lot of the kites flown for fun.
The shape is called a "kite" - which fits well with the shape of a lot of the kites flown for fun.
A rectangle perhaps?
A symmetric trapezium.
A kite.
The shape is called a "kite" - which fits well with the shape of a lot of the kites flown for fun.
The shape is called a "kite" - which fits well with the shape of a lot of the kites flown for fun.
A rectangle perhaps?
A symmetric trapezium.
A symmetric trapezium.
they are congruent: exactly equal
a square
A rectangle has four equal angles (each measuring 90 degrees) and two pairs of matching sides, with opposite sides being equal in length. Additionally, a rectangle has two lines of symmetry: one vertical and one horizontal.
The description given could be that of an isosceles trapezoid * * * * * No it could not. An isosceles trapezoid has two pairs of equal angles. The correct answer is a kite or arrowhead.
They are equal vertical opposite angles or 2 pairs of equal angles.
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.