Question

A quadrilateral has vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4). Quadrilateral ABCD is a . If the vertex C(11, -1) were shifted to the point C′(11, 1), quadrilateral ABC′D would be a .

Answer 1

Answer:

Quadrilateral A(11, -7), B(9, -4), C(11, -1), and D(13, -4) forms a rhombus.

Quadrilateral A(11, -7), B(9, -4), C'(11,1), and D(13, -4) forms a kite.

Step-by-step explanation:

Rhombus is a quadrilateral whose all sides have equal length.

Kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides which are adjacent to each other.

The quadrilateral formed by the vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4) would result in a rhombus (see figure below) because it had four equal sides.

If C(11,-1) is shifted to the point C'(11,1), it would become a kite (see figure below) because it has two pairs of equal sides.