Which type of quadrilateral has two pairs of parallel sides and four congruent sides
What quadrilateral has two parallel sides and what if two of its sides are congruent?
| Name of Quadrilateral | Description |
|---|---|
| Parallelogram | 2 pairs of parallel sides. Opposite sides and opposite angles are congruent. |
| Rectangle | 2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent. |
What are the names of the four quadrilaterals with two pairs of parallel sides?
Therefore, any parallelogram MUST have 2 pairs of parallel sides. This includes all squares, rhombuses, and rectangles.
What is the name of a quadrilateral with two pairs of equal sides and two pairs of opposite angles that are equal?
Parallelogram
Parallelogram. A parallelogram has two pairs of equal sides. It has two pairs of equal angles. The opposite sides are parallel.
What is a quadrilateral with 4 congruent sides called?
A rhombus is a parallelogram with four congruent sides. The plural of rhombus is rhombi .
Does a quadrilateral have 2 pairs of parallel sides?
A shape with four sides. The shape has one set of parallel sides and does not have right angles. A shape with four sides. The shape has one set of parallel sides and has two right angles.
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Quadrilateral Summary.
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Quadrilateral Summary.
| Name | Definition | Example |
|---|---|---|
| Parallelogram | 2 pairs of parallel sides | Created with Raphaël |
What are pairs of parallel sides?
The parallelogram, rectangle, and square all have two pairs of parallel sides. Other less common shapes with parallel sides include any of the ‘-gons’ with an even number of sides, such as a hexagon, octagon, decagon, etc. A hexagon and octagon with parallel sides.
Are congruent sides parallel?
One is that each pair of parallel sides is congruent. In the first figure above, the two short sides are the same length and the two long sides are the same length. This special relationship between the pairs of sides affects the angles of a parallelogram: the angles opposite each other are congruent.
What is a quadrilateral with four congruent sides and four congruent angles?
Explanation: A quadrilateral with four congruent sides with one acute or obtuse angle is always a rhombus. This can be easily proved by joining a diagonal and using SSS postulate for congruent triangle, which leads to corresponding angles equal and hence opposite sides parallel.
What type of quadrilateral has all sides congruent?
The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent.
What is a congruent quadrilateral?
By definition, two quadrilaterals are congruent if four corresponding. sides and four corresponding interior angles are congruent– that’s a total.
Does a trapezoid have congruent sides?
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
Which quadrilateral has four congruent sides and no right angles?
1 Answer. Daniel L. It is a rhombus.
How do you find congruent quadrilaterals?
Generally, you have to put sides an interior angles of one quadrilateral in correspondence with sides and angle of another and to prove that all corresponding pairs of sides and angles are congruent.
What is an example of a congruent?
The word ‘congruent’ means ‘exactly equal’ in terms of shape and size. Even when we turn, flip, or rotate the shapes, they remain equal. For example, draw two circles of the same radius, then cut them out and place them on one another.
Is a parallelogram congruent?
Inside a parallelogram, opposite angles are always congruent. Angles that lie next to each other are always supplementary (add up to 180 degrees).
Are the two quadrilaterals congruent?
It turns out that knowing all four sides of two quadrilaterals are congruent is not enough to conclude that the quadrilaterals are congruent. Unlike with triangles, some information about angles is needed in order to conclude that two quadrilaterals are congruent.
Are congruent shapes?
Two shapes that are the same size and the same shape are congruent. Shapes A, B, E and G are congruent. They are identical in size and shape.
Is a rhombus congruent?
A rhombus, like a parallelogram, has two pairs of congruent, parallel sides. However, unlike a parallelogram, all sides of a rhombus are congruent. The diagonals of the parallelogram bisect the angles that they connect.
Is a kite congruent?
A kite is defined as a quadrilateral with two distinct pairs of congruent adjacent sides. Figure 15.5 The kite ABCD. In a kite, one pair of opposite angles are congruent.
Is a square congruent?
Square: A quadrilateral with four congruent sides and four right angles. Squares are special types of parallelograms, rectangles, and rhombuses. It has properties of all three, yet also has its own unique features. All the sides in a square are congruent.
Is a rectangle congruent?
Opposite sides of a rectangle are the same length (congruent). The angles of a rectangle are all congruent (the same size and measure.) Remember that a 90 degree angle is called a “right angle.” So, a rectangle has four right angles.
Is a trapezoid a parallelogram?
A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.