A rhombus is a special kind of parallelogram, in which all the sides are equal. We’ve seen that one of the properties of a rhombus is that. A parallelogram is a quadrilateral with opposite sides parallel and congruent. This does not require right angles (perpendicular sides) but it does not exclude. Click here to get an answer to your question ?? Prove that, if the diagonals of a parallelogram are perpendicular to each other, the parallelogram is a. One special kind of polygons is called a parallelogram. There are six important properties of parallelograms to know:. Perpendicular and parallel.Special types of parallelogram with perpendicular diagonals are square and rhombus. So the correct answer is option C. NOTE. The above mentioned question can be.

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## a parallelogram with perpendicular diagonals is a rhombus

Prove that, if the diagonals of a parallelogram are perpendicular to each other, the parallelogram is a rhombus. · Since the diagonals of a parallelogram bisect. Theorem 16.6: If the diagonals of a parallelogram are perpendicular, the parallelogram is a rhombus. Let’s just jump right into the game plan. You know that ¯AC. Proof that the diagonals of a rhombus divide it into 4 congruent triangles Its diagonals divide the figure into 4 congruent triangles. Its. Answer: true. Step-by-step explanation: because based on theorem 3:the diagonals of a rhombus are perpendicular.We want to prove, using vectors, that a parallelogram with diagonals perpendicular to each other is a rhombus. Let be the parallelogram, as given in the figure.

## do squares have perpendicular diagonals

We want to prove that the diagonals of a quadrilateral are perpendicular if and only if the sum of the squares of one pair of opposite sides is equal to the sum. The diagonals of a square must be perpendicular. 15.) The diagonals of a square bisect the opposite angles. Circle the quadrilaterals that have each property.All of the properties of a rectangle apply (the only one that matters here is diagonals are congruent). All sides are congruent by definition.Now, take the square with vertices (1,0), (0,1), (-1,0), (0,-1). Its diagonais are obviously perpendicular, which completes the proof. Read more.True. In square all sides are equal. All angles are right angles. Also, The diagonals are right angle to each other. Was this answer helpful? upvote.

## properties of parallelogram

The seven properties of a parallelogram are as follows: The opposite sides are equal. The opposite angles of a parallelogram are equal. The consecutive angles. Properties of Parallelogram: A parallelogram is a type of quadrilateral in which the opposite sides are parallel and equal. A parallelogram is a. The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. · The opposite angles of a parallelogram are equal. · The sum. Properties of a Parallelogram · The opposites sides of a parallelogram are parallel. · The opposite sides of a parallelogram are equal. · The opposite angles of a. Properties of Parallelogram · The opposite sides are parallel and congruent · The opposite angles are congruent · The consecutive angles are supplementary · If any.

## a parallelogram with perpendicular diagonals is a square

When the diagonals of a parallelogram are perpendicular to each other then it is called. A. Square. B. Rectangle. C. Then ABCD is a parallelogram because its diagonals bisect each other. EXERCISE 7. The square on each diagonal is the sum of the squares on any two adjacent. A Parallelogram with Perpendicular Diagonals is a Rhombus. A rhombus is a special kind of parallelogram, in which all the sides are equal. We’. Theorem 16.8: If the diagonals of a parallelogram are congruent and perpendicular, the parallelogram is a square. There’s not much to this proof, because you’ve. The diagonals are congruent. The diagonals are perpendicular to and bisect each other. A square is a special type of parallelogram whose all angles and sides.