A four-sided figure with 4 equal sides and no right angles?
A four-sided polygon with all sides equal and no right angles would be a rhombus. A rhombus consists of two acute angles and to obtuse angles.
A rectangle is a plane figure with four straight sides and four right angles, esp. one with unequal adjacent sides. A square is a plane figure with four equal straight sides and four right angles. A rhombus is a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.
Such a figure is called a square. Actually only one right angle is enough to force the the other angles to be right, and if three sides are equal, that forces all sides in such a figure to be equal. Exercise: Prove that any 4-sided figure( called a quadrilateral in math books) with three equal sides and one right angle is a square.
A parallelogram is a figure with different lengths and widths(also called breadth) where opposite sides and opposite angles are equal. But the angles are not 900 each. In fact, no angle in a parallelogram is a right angle as presence of 1 right angle proves all the angles to be right angles. A parallelogram with 4 right angles is called as a ''rectangle''
What type of figure must a quadrilateral be if its diagonals are perpendicular bisectors of each other and are congruent?
nothing fits the definition of rhombus and rectangles becauses the definition for rectangle is : a plane figure with four straight sides and FOUR RIGHT ANGLES but the definition of rhombus is... a parallelogram with ,OPPOSITE EQUAL ACUTE ANGLES and OPPOSITE EQUAL OBTUSE ANGLES, and four equal sides.
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.
If one set of opposite sides is equal and parallel then both are. The figure is a PARALLELOGRAM and the opposite angles of course must be equal. (see related links below) Parallelograms include rectangles (four right angles) and rhomboids (two opposite acute angles and two opposite obtuse angles). A square is a type of rectangle (all sides equal). A rhombus is a type of rhomboid (all sides equal). Although a square could be considered an…
An isosceles trapezoid will have diagonals of equal length but will never contain right angles by definition. A square and rectangle will have diagonals of equal length but will contain 4 right angles. A rhombus and any other parallelogram that does not contain right angles will not have diagonals of equal length.