Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Quadrilateral QRST is reflected across the y-axis and rotated 360° clockwise about the origin to create the quadrilateral Q'R'S'T', what are the vertex coordinates of quadrilateral Q'R's'T',8642-20R46

Answer 1

Step-by-step explanation

Step 1

take the coordinates of the vertices

so

a)let

`\begin{gathered} R(2,-1) \\ S(5,-2) \\ T(4,-6) \\ Q(-1,-4) \end{gathered}`

Step 2

reflection acrros y axis:

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the -value the same

`(x,y)\Rightarrow(x,-y)`

hence

`\begin{gathered} R(2,-1)\Rightarrow R_1(2,1) \\ S(5,-2)\Rightarrow S_2(5,2) \\ T(4,-6)\Rightarrow T_2(4,6) \\ Q(-1,-4)\Rightarrow Q_2(-1,4) \end{gathered}`

Step 3

rotation 360 °

A rotation of 360 degrees results in a point with coordinates ( , ) , in other words teh coordinates are the same, so

the answer is

`\begin{gathered} R^(\prime)(2,1) \\ S^(\prime)(5,2) \\ T^(\prime)(4,6) \\ Q^(\prime)(-1,4) \end{gathered}`