Question

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

Answer 1

square

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 2

C. square

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.