Yes.
always
Yes, if two triangles have two congruent angles and two congruent sides then the triangles are guaranteed to be congruent. They only need two angles and one side congruent or two sides and one angle in order to be congruent.
A rhombus, or a square if there is a 90o angle.
A parallelogram has two sets of parallel sides. It can have four sides that are equal in length. That is why a square is also a parallelogram. You can have a parallelogram with two sets of parallel sides, all of which are equal in length, but they do not meet in right angles. It looks kind of like a lopsided or squished square, and it is called a rhombus.
A trapezoid.
A parallelogram has the 2 pair of opposite congruent sides, but a rectangle (special case of parallelogram) also has the four congruent angles.
If it is a parallelogram, then it has two sets of parallelogram sides. Parallelograms' opposite angles are congruent A parallelogram's bisectors are congruent. * * * * * A parallelogram's bisectors are NOT congruent.
A parallelogram
All sides congruent = square Two pairs of mutually congruent sides = rectangle
It is a parallelogram
A parallelogram is a quadrilateral with opposite sides parallel and congruent.
No, a quadrilateral with congruent diagonals but no right angles is not necessarily a parallelogram. In order for a quadrilateral to be classified as a parallelogram, it must have both pairs of opposite sides parallel. The property of having congruent diagonals does not guarantee that the sides are parallel, so the quadrilateral may not be a parallelogram.
parallelogram
A parallelogram has two pairs of sides that are parallel when a trapezoid only has one. A parallelogram's opposite sides are congruent and opposite angles are congruent. A trapezoid has no opposite congruent sides or angles, unless it's an isosceles trapezoid, which base angles are congruent. They both have four sides and four interior angles that add up to 360 degrees.
A square has 4 congruent sides and 4 right angles, in addition to having all of the properties of a parallelogram. A kite is not a parallelogram. It has two pairs of consecutive congruent sides, and a pair of congruent opposite angles.
A parallelogram.