Question

Please help its past due!

Quadrilateral ABCD is located at A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x + 7, y − 1) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.

Answer 1

The new coordinates of the points are A'(5, 1), B'(5, 3), C'(9, 3), and D'(9, 1).

When you connect the vertices, you have a rectangular prism.

Answer 2

A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2).

rule (x + 7, y − 1)

To find new coordinates we add 7 with x and subtract 1 from y

A(−2, 2) -----> A' (5,1)

B(−2, 4) -------> B' (5, 3)

C(2, 4) ---------> C' (9, 3)

D(2, 2) -------->D' (9, 1)

Characteristics

When we connect all the points by line segments, the line A'B' will be parallel to C'D'.

Also, B'C' parallel to A'D'.

All the four lines forms a rectangle .