Question

Quadrilateral ABCD will be dilated about the origin by a scale factor of and then reflected across they-axis.А987654DB321-6-5-2-8-4-1702B5-1-2-30C-4-5-6-7Identify the coordinates of the points after the transformation:Byes

Answer 1

Step 1:

In this question, we have that the Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis:

From the graph, we can see that:

`\begin{gathered} A(\text{ -3, 9 )} \\ B(\text{ -6, 3 )} \\ C(0,\text{ -3)} \\ D(3,\text{ 3)} \end{gathered}`

Step 2:

We need to dilate about the origin by a scale factor of 1/3, then

we have that:

`\begin{gathered} A\text{ ( - 1 , 3 )} \\ B\text{ ( - 2, 1)} \\ C\text{ ( 0, -1)} \\ D(\text{ 1, 1 )} \end{gathered}`

Step 3 :

We need to reflect across the y-axis:

( x , y ) ------- ( -x, y )

`\begin{gathered} A(-1,3)------A^{I\text{ }}(\text{ 1, 3 )} \\ B(-2,1)------B^I\text{ ( 2, 1)} \\ C(0,-1)------C^I\text{ ( 0, -1)} \\ D(1,1)-------D^I\text{ ( -1 , 1 )} \end{gathered}`

From the graph,

a) The original polygon is in colour Red

b) The dilated image of the original polygon is in colour Blue

c) The reflection of the dilated image is in colour Green.