Question

rigid transformations: unit assessment

1. quadrilateral wydm was transformed to create quadrilateral hcxf.

write the algebraic description using coordinates to describe the transformation of quadrilateral wydm used to create quadrilateral hcxf.

Explanation:

Step1: Observe the x - coordinates change

Notice that for each corresponding vertex, the x - coordinate of the vertices of quadrilateral HCXF is 5 units less than the x - coordinate of the vertices of quadrilateral WYDM. For example, if a vertex of WYDM has x - coordinate \(x_1\) and the corresponding vertex of HCXF has x - coordinate \(x_2\), then \(x_2=x_1 - 5\).

Step2: Observe the y - coordinates change

Notice that for each corresponding vertex, the y - coordinate of the vertices of quadrilateral HCXF is 8 units less than the y - coordinate of the vertices of quadrilateral WYDM. For example, if a vertex of WYDM has y - coordinate \(y_1\) and the corresponding vertex of HCXF has y - coordinate \(y_2\), then \(y_2=y_1-8\).

Step3: Write the algebraic rule

The algebraic description of the transformation using coordinates is \((x,y)\to(x - 5,y - 8)\).

Answer:

\((x,y)\to(x - 5,y - 8)\)