Sometimes rhombus are called as diamond, but not all rhombi are diamond in shape. Which of the following statements is true about rhombus? All the sides of a rhombus are congruent.
The diagonals of a rhombus are congruent. Rhombus has 4 right angles. All of the above. Which of the following statements are true about the square?
The diagonals of a square are congruent. The sides of a square are congruent. The square has four right angles. The diagonals of a square are perpendicular. Square Rhombus A square is a four - sided figure or parallelogram with 4 right angles meet at the vertex A rhombus is also a parallelogram whose opposite angles are equal in length. These diagonals also cut each other exactly in half. Geometricians say they bisect each other. That means the two diagonals divide the rhombus up into four right-angle triangles.
Once you watch this lesson and read about a rhombus, you will know how this plane figure fits into the whole family of plane figures, what properties make a rhombus unique, and how to recognize a rhombus by finding its two special identifying properties. How To Find the Area of a Rhombus. Get better grades with tutoring from top-rated professional tutors. Get help fast. Want to see the math tutors near you?
Rhombus Shape Properties of a Rhombus Rhombus Angles Diagonals of a Rhombus Rhombus Definition A rhombus is a quadrilateral plane figure, closed shape, four sides with four equal-length sides and opposite sides parallel to each other. How To Construct a Rhombus You can build a rhombus right now, on any flat surface, if you have four identical, linear objects.
What does a Rhombus look like? This means every rhombus is: A plane figure it has two dimensions A closed shape it has an interior and exterior A quadrilateral four-sided plane figure with straight sides. Every rhombus you see will also be a parallelogram, but not every parallelogram you meet will be a rhombus.
Every square you see will be a rhombus, but not every rhombus you meet will be a square. Need help? Tutors are standing by. Ask a question or Get instant tutoring Need help? A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, a quadrilateral with two pairs of parallel sides.
In addition to this, a rhombus also has four equal sides, but it is still a type of parallelogram with four congruent sides. Hence, a rhombus fits all the properties of a parallelogram. We can notice how the four sides remain the same length and the opposite sides remain parallel. In the above-given figure, we can notice that every rhombus we see will also be a parallelogram, but not every parallelogram we see will be a rhombus.
A square can be considered as a special case of a rhombus because it has four equal-length sides. All the angles of a square are right angles, but the angles of a rhombus need not necessarily have to be right angles. And, hence a rhombus with right angles can be considered a square. Hence, we can conclude that:. A rhombus is considered to be one of the special parallelograms as it has all the properties of a parallelogram.
A rhombus has its two diagonals as its two lines of symmetry. Axis of symmetry can be considered as a line that divides an object into two equal halves. It creates a mirror-like reflection of both the side of the object. A rhombus is said to have reflection symmetry over both of its diagonals.
The general properties of a parallelogram are as follows:. A rhombus, like all geometric shapes, has properties that are unique to it. Q: Why is a square a rectangle? A: A square is a rectangle because it fulfills all the properties of a rectangle. Remember, for a parallelogram to be a rectangle is must have four right angles, opposite sides congruent, opposite sides parallel, opposite angles congruent, diagonals bisect each other, and diagonals are congruent.
A square satisfies all of these requirements, therefore a square is always a rectangle. Q: When is a rhombus a rectangle? A: A rhombus can be a rectangle only if all four angles of the rhombus are 90 degrees.
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