A four-sided shape has four congruent angles and sides. Which quadrilateral could it be? A. quadrilateral B. trapezoid C. square D. parallelogram

Sagot :

Answer:

square

Step-by-step explanation:

Option A is also correct somehow

  • These things can be possible in three options
  1. quadrilateral (Off course)
  2. Parallelogram
  3. Square

but we are not sure about first 2 if they have equal sides or angles

only square have each angle 90 and all sides equal

So Option C is correct

Answer:

C. square

Step-by-step explanation:

Congruent means "the same" (having the same shape and size).

Any four-sided, 2-dimensional shape with straight sides is called a quadrilateral.

There are 6 special types of quadrilaterals:

Rectangle

  • Opposite sides are parallel and equal in length
  • All interior angles are 90°

Square

  • All sides are equal in length
  • All interior angles are 90°

Rhombus

  • All sides are equal in length
  • Opposite sides are parallel
  • Opposite angles are equal

Parallelogram

  • Opposite sides parallel and equal in length
  • Opposite angles are equal

Trapezoid

  • One pair of opposite parallel sides

Isosceles Trapezoid

  • One pair of opposite parallel sides
  • One pair of non-parallel sides equal in length
  • Two pairs of equal base angles

Kite

  • Two pairs of adjacent sides equal in length
  • The angles included between the sides of differing lengths are equal

Conclusion

A four-sided shape that has four congruent angles and sides is a SQUARE.