If all four sides of a quadrilateral measure the same length, and one coner angle measures 90 degree, what shape can the quadrilateral be
A)rhombus B)rectangle
C)square D)parallelogram
E)all of these
all of the above will work.
so, (E)
To determine the answer, let's analyze the properties of the given shapes:
A) Rhombus: A rhombus is a quadrilateral in which all four sides are equal in length. However, a rhombus does not necessarily have a right angle (90 degrees) as one of its corner angles. Hence, we can eliminate option A.
B) Rectangle: A rectangle is also a quadrilateral in which all four sides are equal in length. Additionally, a rectangle has four right angles (90 degrees). So, a rectangle satisfies both conditions given in the question (equal sides and a 90-degree angle). Therefore, option B is a possibility.
C) Square: A square is a special type of rhombus and rectangle, where all four sides are equal in length, and all four angles are right angles. Since option C states that the quadrilateral has equal sides and a 90-degree angle, a square falls under this category. Hence, option C is also a possibility.
D) Parallelogram: A parallelogram is a quadrilateral in which opposite sides are parallel and equal in length. However, a parallelogram does not have all four sides of equal length. Consequently, option D can be eliminated.
Considering the above analysis, the correct answer is option E) all of these. A quadrilateral with equal side lengths and a 90-degree angle can be a rhombus, a rectangle, or a square.