if the angle of a quardilateral are eaqual , prove that it is a rectangle.
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3
Answer:
If all angles in a quadrilateral are right angles then it's a rectangle (reverse of the rectangle definition) If the diagonals of a parallelogram are congruent, then it's a rectangle (neither the reverse of the definition nor the converse of a property)
Answered by
7
Answer:
There needs to be either one right angle or the diagonals have to be congruent.
Step-by-step explanation:
Let's say you have quadrilateral ABCD. If the opposite angles are congruent, then it is automatically a parallelogram as well.
According to the properties of a rectangle, it needs to have either one right angle or congruent diagonals.
To prove that ABCD has one right angle:
Prove that two sides are perpendicular. To find this, you can use the slope formula (Δy/Δx), also known as (y2−y1/x2−x1).
To prove diagonals are congruent:
Do the distance formula of the two diagonals. If they come out to be the same answer, then they are congruent.
√(x2−x1)2+(y2−y1)2 (Everything is under the radical here)
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