Answered

IDNLearn.com: Your one-stop destination for finding reliable answers. Whether it's a simple query or a complex problem, our experts have the answers you need.

Items 2. Find the coordinates of thevertices of each image.

Items 2 Find The Coordinates Of Thevertices Of Each Image class=

Sagot :

We need to find the following operation

[tex]T_{(-1,2)}\circ R_{x-axis}(QRST)[/tex]

which means that we need to find first the reflection over the x-axis of the figure QRST:

[tex]R_{x-axis}(QRST)[/tex]

and then translate the result 1 unit left and 2 units up:

[tex]T_{(-1,2)}[/tex]

In this regard, the rule for a reflection over the x-axis is given by

[tex](x,y)\longrightarrow(x,-y)[/tex]

Then, by applying the reflection rule, we have that

[tex]\begin{gathered} Q(1,3)\longrightarrow Q^{\prime}(1,-3) \\ R(3,-3)\longrightarrow R^{\prime}(3,3) \\ S(0,-2)\longrightarrow S^{\prime}(0,2) \\ T(-2,1)\longrightarrow T^{\prime}(-2,-1) \end{gathered}[/tex]

Now, the translation rule for 1 units to the left and 2 units up

[tex](x,y)\longrightarrow(x-1,\text{ y+2)}[/tex]

Then, by applyin this rule to the last result, we have

[tex]Q^{\prime}(1,-3)\longrightarrow Q´´(1-1,-3+2)=Q´´(0,-1)[/tex]

and

[tex]R^{\prime}(3,3)\longrightarrow R´´(3-1,3+2)=R´´(2,5)[/tex]

and

[tex]S^{\prime}(0,2)\longrightarrow S´´(0-1,2+2)=S´´^{}(-1,4)[/tex]

and finally,

[tex]T^{\prime}(-2,-1)\longrightarrow T´´^{}(-2-1,-1+2)=T´´(-3,1)[/tex]

Therefore, the answer is:

[tex]\begin{gathered} Q´´(0,-1) \\ R´´(2,5) \\ S´´^{}(-1,4) \\ T´´(-3,1) \end{gathered}[/tex]

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.