IDNLearn.com provides a reliable platform for finding accurate and timely answers. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

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]