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 arethe vertex coordinates of quadrilateral Q'R'S'T',y8642-8 ---6-6-4-20이 R₂46S-2Q-6-8

Answer 1

Coordinates of QRST:

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

Rule for a reflection accros the y-axis:

$(x,y)\rightarrow(-x,y)$

Find the coordiantes of the figure after the reflection across y-axis:

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

A rotation 360º clockwise is a full rotation, the figure still in the same direction after the rotation (the coordinates of the points don't change)

Then, the coordiantes of Q'R'S'T are:Q'(1,-4)R'(-2,-1)S'(-5,-2)T'(-4,-6)