$(1)$ The quadrilateral obtained by joining in order the midpoints of the sides of a rhombus is a .......
$(2)$ The quadrilateral obtained by joining in order the midpoints of the sides of a rectangle is a ..........
$(2)$ The quadrilateral obtained by joining in order the midpoints of the sides of a rectangle is a ..........
(A) According to the Midpoint Theorem and properties of quadrilaterals:
$(1)$ When the midpoints of the sides of a rhombus are joined in order,the resulting quadrilateral is a rectangle because the diagonals of a rhombus bisect each other at right angles.
$(2)$ When the midpoints of the sides of a rectangle are joined in order,the resulting quadrilateral is a rhombus because the diagonals of a rectangle are equal in length.
$(1)$ When the midpoints of the sides of a rhombus are joined in order,the resulting quadrilateral is a rectangle because the diagonals of a rhombus bisect each other at right angles.
$(2)$ When the midpoints of the sides of a rectangle are joined in order,the resulting quadrilateral is a rhombus because the diagonals of a rectangle are equal in length.
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