
Can a rectangle be a rhombus? - Socratic
Nov 15, 2015 · Only if the rectangle is a square A rectangle is a parallelogram with all its interior angles being 90 degrees. A rhombus is a parallelogram with all its sides equal. This means that for a rectangle to be a rhombus, its sides must be equal. When this is satisfied, we have a square.
Which is always a rhombus? Parallelogram, Trapezoid, Rectangle, …
Nov 12, 2015 · Rectangle - Four sides connected at four right angles, thus giving two pairs of parallel sides. Square - Four sides, all the same length, all connected at right angles. Between mentioned figures you can write following dependencies: Every rhombus is a …
If rectangles must have right angles explain how a rhombus
Apr 19, 2018 · A rhombus MAY be a rectangle. The rectangle (right angles) is really just a special form of the rhombus - not the other way around. Rhombus Definition: A 4-sided flat shape with straight sides where all sides have equal length.
If a quadrilateral is both a rectangle and a rhombus, then is it a ...
Dec 29, 2015 · A rectangle is a plane figure bounded by four sides with all angels right. A rhombus is a plane figure bounded by four sides with all sides equal. A square is a plane figure bounded by four sides with all angels right and all sides equal. If a quadrilateral is both rectangle and a rhombus then the quadrilateral will have all angels right and all sides equal. which is definition of a square ...
Why do the midpoints of a rhombus form a rectangle? Solved in a ...
Mar 18, 2018 · see explanation. Some of the properties of a rhombus : 1) all sides are congruent, => AB=BC=CD=DA, 2) opposite angles are congruent, => angleADC=angleABC=y, and angleBAD=angleBCD=x, 3) adjacent angles are supplementary, => x+y=180^@ 4) opposite sides are parallel, => AD // BC, and AB // DC, given that P,Q, R and S are midpoints of AB,BC,CD, and DA, respectively, => AP=PB=BQ=QC=CR=RD=DS=SA ...
Can a quadrilateral be both a rhombus and a rectangle ... - Socratic
Nov 20, 2015 · Yes. A square is both a rectangle and a rhombus. A rhombus is a quadrilateral with all four sides of the same length. A rectangle is a quadrilateral all of whose corner angles are right angles. A square satisfies both of these definitions.
Why is a square always a rhombus, but a rhombus is not ... - Socratic
Apr 30, 2016 · It is important to work with definitions first. A parallelogram is a quadrilateral with two pairs of opposite sides parallel. A rhombus is a parallelogram with equal sides A square is a rhombus with all the angles equal (to 90°). Students often make the mistake of defining a rhombus as "A rhombus is a square pushed over." It would be better to say that a square is a rhombus pushed up straight ...
What shape is both a rhombus and a rectangle? - Socratic
Jan 26, 2016 · A rhombus is a parallelogram with 4 sides of equal length.. A rectangle is a parallelogram with 4 interior right angles.
Is every rectangle a rhombus? - Socratic
Apr 5, 2018 · No, every rectangle is not a rhombus. Rhombus has all its sides equal, but all its angles are not equal. However, opposite angles are equal. While rectangle has all its angles equal, but all its sides are not equal. However, opposite sides are equal.
Which of the following is always a rhombus: Parallelogram
Nov 13, 2015 · A square is always a rhombus, whereas each of a parallelogram, a trapezoid, and a rectangle do not have to be. A rhombus is a quadrilateral with all four sides being of equal length. To see which of the given shapes fall into this category, let's look at their definitions. A parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid is a quadrilateral with at least one pair ...