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What shapes have exactly 1 pair of opposite sides that are congruent?
a trapeziod
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.
Does an isosceles trapezoid have one pair of congruent opposite sides and congruent base angles?
Yes, an isosceles trapezoid has one pair of congruent opposite sides and congruent base angles
What is a trapezoid with two congruent sides?
A trapezoid with two congruent, opposite sides is an isosceles trapezoid.
What is the Opposite Sides Parallel and Congruent Theorem?
The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.
What shapes have exactly 1 pair of opposite sides that are congruent?
a trapeziod
What makes up a pair of shapes congruent?
all sides being equal
Do all trapezoids have exactly one pair of congruent sides?
By definition, a trapezoid only must have exactly one pair of parallel sides. An isosceles trapezoid does have one pair of congruent sides, but not all trapezoids will have exactly one pair of congruent sides.
Are parrallellograms same as trapezoids?
No, a parallellogram is a quadrilateral with two pair of congruent sides and a trapezoid is a quadrilateral with only one pair of congruent sides.
What trapezoid must have a pair of parallel sides and a pair of congruent sides?
An isosceles trapezoid must have a pair of parallel sides and a pair of congruent sides
Do all trapezoids have only one pair of congruent sides?
No. Most trapezoids don't even have one pair of congruent sides. Only isosceles trapeoids have one pair; none have more than one pair.
A quadrilateral with exactly 1 pair of parrell sides and exactly 1 pair of congruent sides?
This quadrilateral is a trapezoid. In a trapezoid, one pair of opposite sides is parallel, and one pair of opposite sides is congruent. The other two sides are not parallel or congruent.
Is it possible to have two noncongruent triangles that have two pairs of congruent angle and one pair of congruent sides?
not possible, they only have 3 sides so they have to be congruent by ASA or AAS
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.
Do all trapezoids have one pair of congruent sides?
Yes, all trapezoids must have one pair of congruent sides.
What quadrilateral has 2 sets of parallel sides and 2 pairs of congruent sides?
An isosceles trapezoid has a pair of parallel bases and a pair of congruent sides
Does an isosceles trapezoid have one pair of congruent opposite sides and congruent base angles?
Yes, an isosceles trapezoid has one pair of congruent opposite sides and congruent base angles
