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which of these quadrilaterals has four right angles and four congruent sides

by Luella Haag Published 2 years ago Updated 2 years ago
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A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles.

What are 10 facts about quadrilaterals?

  • A quadrilateral is a polygon with 4 sides and 4 corners.
  • The word ‘quadrilateral’ comes from ‘quad’ meaning ‘4’ and ‘lateral’ meaning ‘of sides’.
  • The interior angles of quadrilaterals add to 360 degrees.
  • Any quadrilateral with 4 right angles is a rectangle.
  • A quadrilateral with 4 right angles and 4 equal length sides is a square. ...

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What quadrilateral has two pairs of parallel sides?

Quadrilateral

  • Parallelogram. A parallelogram is a type of quadrilateral in which two pairs of parallel sides are present. ...
  • Rhombus. A rhombus is a type of quadrilateral in which all the four sides are of equal length. ...
  • Rhomboid. ...
  • Rectangle. ...
  • Square. ...
  • Kite. ...

What are facts about quadrilaterals?

quadrilaterals have 4 corners. all 4 sides are straight lines. The 4 corners interior angles add up to 360. The 4 corners exterior angles add up to 360. 1 side is always shorter than the sum of the other 3. a quadrilateral is the shortest number of sides to have a concave polygon. a quadrilateral is the shortest number of sides to be able to flex at the corners and change its shape.

How many parallel sides does a quadrilateral have?

But each contains 4 sides and one pair of parallel sides. Not all quadrilaterals have parallel sides. Here is our final member of the quadrilateral family. A kite has got two pairs of sides next to each other that have equal length.

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What quadrilaterals has four right angles and four congruent sides?

Square and its Properties A square is a quadrilateral with four right angles and four congruent sides. All squares are rectangles and rhombuses.

What quadrilateral has four sides that are congruent?

The square is also the name of the regular quadrilateral — one in which all sides are congruent and all angles are congruent.

Which shape always has 4 congruent sides?

rhombusesThis is always true. Squares are quadrilaterals with 4 congruent sides. Since rhombuses are quadrilaterals with 4 congruent sides, squares are by definition also rhombuses.

Does a trapezoid have 4 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.

Does a rhombus have 4 congruent sides?

All four of its sides are congruent. The third special parallelogram is called a rhombus. Like a square, a rhombus has four congruent sides and pairs of congruent angles opposite each other. However, right angles are not required for a rhombus.

Does a rectangle have 4 congruent sides?

quadrilateral. A rectangle has 4 congruent sides. parallel.

Does a parallelogram have 4 congruent sides?

A parallelogram has two pairs of congruent sides. For two line segments to be congruent, they must have equal length. Since a parallelogram has fours sides, it has two pairs of opposite sides. Furthermore, since opposite sides of a parallelogram have equal length, a parallelogram has two pairs of congruent sides.

Does rhombus have 4 right angles?

If a rhombus is a square, all four of its angles are right. Otherwise, all angles are either acute or obtuse, but not right.

Is a parallelogram with 4 right angles?

Rectangle: A parallelogram with 4 right angles.

Does a kite have 4 congruent sides?

Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.

Does a parallelogram have congruent sides?

Opposite sides of parallelograms are congruent. Opposite angles of parallelograms are congruent. Adjacent angles of parallelograms are supplementary. Diagonals bisect each other.

Is a rhombus a quadrilateral?

In Euclidean geometry, a rhombus is a type of quadrilateral. It is a special case of a parallelogram, whose all sides are equal and diagonals intersect each other at 90 degrees. This is the basic property of rhombus. The shape of a rhombus is in a diamond shape.

Is a rhombus a quadrilateral?

In Euclidean geometry, a rhombus is a type of quadrilateral. It is a special case of a parallelogram, whose all sides are equal and diagonals intersect each other at 90 degrees. This is the basic property of rhombus.

Is a quadrilateral with 4 equal sides always a square?

The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.

What kind of quadrilateral has congruent sides and congruent angles?

Square. It is a quadrilateral in which all the sides and angles are equal. Every angle is a right angle (i.e. 90° each). The pairs of opposite sides are parallel to each other.

What are the congruent sides?

Congruent sides are the concept used in geometry when the sides of a figure are equal to each other. It could be two or three sides equal to each other. The word congruent or congruency means exactly equal in shape and size, irrespective of flipping or rotating a shape.

Answer

rectangle: 2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.

Answer

Therefore these two quadrilaterals (rectangle and square) have four congruent angles!

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