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What are necessary when proving that the opposite sides of a parallelogram are congruent?

A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent


What are some characteristics of a trapezoid?

The only real characteristic of a trapezoid is that one pair of opposite sides is parallel. For an isosceles trapezoid, in addition to one pair of opposite sides being parallel; the legs are congruent; each pair of base angles is congruent; and the diagonals are congruent.


Probability of 2 consecutive angles of a square being congruent?

As all the angles in a square measure 90°, the probability of 2 consecutive angles being congruent is 1.


What is the probability of 2 randomly chosen angles of a square being congruent?

As all the angles in a square measure 90°, the probability of 2 randomly chosen angles being congruent is 1.


What type of quadrilateral has 4 congruent angles but not necessarily 4 congruent sides?

RectangleA rectangle has 4 congruent angles, but two pairs of congruent sides instead of all sides being congruent.


What happen to a transversal intersect two parallel line?

A transversal is a line that intersects two or more other lines. If the corresponding angles are congruent then the two lines being intersected are parallel and vice verso.


Why is a rectangle a parallelogram but a parallelogram is not a rectangle?

A rectangle has three rules: -2 pairs of parallel sides -four 90 degree angles -2 pairs of congruent sides A parallelogram has three rules: -2 pairs of parallel sides - 2 pairs of congruent angles -2 pairs of congruent sides The only difference is that a rectangle has 90 degree angles, which a parallelogram doesn't have. That's why a parallelogram can't be a rectangle. A rectangle follows all the rules of being a parallelogram, so it can be a parallelogram.


How many degerees in a isosceles triangle?

That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)That may vary. The only requirement for being called "isosceles triangle" is that two of the angles are congruent. (This is equivalent to the statement that two of the sides are congruent.)


Is a pentagon a parallelogram?

No, a parallelogram is 4 sided with each 2 sides being parallel to one another. The opposite angles in a parallelogram are congruent. A pentagon is a 5 sided figure with each angle being the same.


What shape has 2 pairs of congruent sides with those sides being non-adjacent and the angles are not all congruent?

This is a parallelogram. The first requirement is 2 pairs of congruent sides where the congruent sides are not adjacent. This is like a rectangle (excluding a square) that has two pairs of congruent sides where the congruent sides are not adjacent. But the angles are not all congruent (as set in the question) which pushes the shape into the "next less regular" shape, the parallelogram. The angles will not all be congruent, but it will have 2 pairs of congruent angles. There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement).


What quadrilaterals have opposite sides that are congruent and parallel?

They all do. That is part of being a quadrilateral.


Transversal means what?

A transversal is simply a line that passes through two or more other lines . (the lines should be in the same plane) Transversals are important becasue if a transverals passes through or intersects two parallel lines we get some special angle congruences. The alternate interior angles are on opposite sides of the transversal line and inside the lines being transversed. Alternate exterior angles are on opposite sides of the transferal line and outside the lines being transversed. The alternate interior and alternate exterior angles are congruent if the lines being crossed by the transversal are parallel ( NOT to each other, the two alternate interiors are congruent and the two alternate exteriors are congruent.