what are congruent diagonals
Answers
Answer:
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 are equal. Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other
Answer : A parallelogram is a special type of quadrilateral.
And just as its name suggests, a parallelogram is a figure with two pairs of opposite sides that are parallel.
But there are even more attributes of parallelograms that enable us to determine angle and side relationships.
Step by step explanation :
Properties Parallelograms Explained.
6 Properties of Parallelograms Defined.
1. Opposite sides are parallel
Segment AB is parallel to segment DC, and segment AD is parallel to segment BC.
2. Opposite sides are congruent
Segment AB is congruent to segment DC, and segment AD is congruent to segment BC.
3. Opposite angles are congruent
Angle A is congruent to angle C, and angle D is congruent to angle B.
4. Same-Side interior angles (consecutive angles) are supplementary
Angles A and D are supplementary, angles B and C are supplementary, angles A and B are supplementary, and angles D and C are supplementary.
5. Each diagonal of a parallelogram separates it into two congruent triangles
Triangle DAB is congruent to triangle DCB.
6. The diagonals of a parallelogram bisect each other
Segment AE is congruent to segment CE, and segment DE is congruent to segment BE.
And as Math Planet accurately points out, if one angle in a parallelogram is a right angle, then all angles are right angles.
I hope it will be helpful for you.
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