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Why must rhombuses have one pair of congruent sides?

Updated: 8/21/2019
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8y ago

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All four sides of a rhombus must be congruent. In order for it to have four equal sides, it must have two!

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7y ago
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Q: Why must rhombuses have one pair of congruent sides?
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Related questions

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 one pair of congruent sides?

Yes, all trapezoids must have one pair of congruent sides.


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 some trapezoids rhombuses?

Yes. To be a trapezoid, a quadrilateral must have one pair of sides that are parallel. Since rhombuses are parallelograms, they are all also trapezoids, so a subset of trapezoids are rhombuses.


If one pair of adjacent sides of a parallelogram is congruent then the parallelogram must be a?

Rhombus.


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.


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


What shapes has only 1 pair of congruent sides?

An isosceles trapezoid only has 1 pair of congruent sides. It is drawn like this:


Why is an isosceles trapezoid irregular?

Because it does't have 4 equal sides and 4 equal angles as for example such as a square.


How many congruent angles does an isosceles trapezoid have?

By definition, all trapezoids must have one pair of parallel sides. Therefore, an isosceles has one pair of congruent angles.


Does a retangle have one pair of parallel sides?

No. By definition, a rectangle must have TWO pairs of parallel sides. Also, each pair of parallel sides will be congruent. *If this is not happening with your shape, it isn't a rectangle.