a cube
Assuming there are no more sides/angles, then it is a rectangle.
symmetry
A trapezoid, specifically an isosceles trapezoid, has two sets of parallel sides, with the non-parallel sides being equal in length. This shape features a pair of matching acute angles and a pair of matching obtuse angles at each end of the non-parallel sides. The symmetry and angle properties make it distinct from other quadrilaterals.
Both have right angles Have at least some matching sides
a rhombus
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.
An irregular pentagon such as a child's silhouette of a house: a rectangle shape (open at the top) forming the body of the house, with a triangular roof on of the rectangle. The vertical line through the apex of the roof is the line of symmetry. The two walls, and the two roof lines are the two sets of equal sides. The two right angles at the base are the one set of matching angles.
A kite or an arrowhead.
The answer to this riddle is a triangle. In geometry, a triangle has three angles that are equal in measure and three sides that are equal in length, known as an equilateral triangle. The reference to "two matching dresses and shoes" likely alludes to the fact that two of the angles are congruent, forming an isosceles triangle. Finally, the mention of "one trophy" could be a playful way of referring to the triangle shape itself.
corresponding angles
Triangle = 3 sides 3 angles Square = 4 sides 4 angles Hexagon = 5 sides 5 angles Pentagon = 6 sides 6 angles No certain name for 7 sides and 7 angles Octagon = 8 sides 8 angles Nonagon = 9 sides 9 angles Decagon = 10 sides 10 angles
You don't tell us enough information. In a square, there are four sides and four angles. The sides are all equal and the angles are all right angles. In a rectangle, there are four sides and four angles The opposite sides are equal and the angles are all right angles. There is no other shape in which all angles are right angles.