If the length of the diagonals of a parallelogram are equal, then which of these conditions is always true? plz ans fast
Answers
Answer:
Parallelogram
Parallelogram, as the name suggests, has a close association with parallel lines. Yes, this four-sided closed figure has parallel lines. In short, it is a closed figure with four sides with each pair of opposite sides parallel to each other.
In the figure above, all the shapes have parallel opposite sides, this means that all the closed figure shapes in the image above are parallelograms. Yes, a rectangle and square are also types of parallelograms which show properties peculiar to their names as well.
Properties of Parallelogram
A parallelogram has four sides and four angles. Sometimes the sides and angles may be equal while sometimes they may be different. The difference in sides and angles gives the final shape a different name. For example Square, rectangle, rhombus etc.
Parallelogram
The figure above is of a parallelogram PQRS. What do you notice? PQ and RS are opposite sides and are parallel to each other. Another pair of opposite sides PS and QR are also parallel to each other. PQ and PS are adjacent sides, where PS starts when PQ ends.
These adjacent sides when intersecting with each other from adjacent angles. In the figure above ∠ P is adjacent to ∠S and ∠Q is adjacent to ∠R. ∠P is opposite to ∠R and is equal in measurement. In a parallelogram, two adjacent angles are supplementary while opposite angles are equal in measurement.