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Unif: Transformations
Name

qquad Homeviork 2
Dalo

qquad Pd 
qquad
TRANSLATIONS ON THE COORDINATE PLANE
Use the franalations ahown on graphs A-C to anower t-4.
GRAPH A
GRAPHB







1. Which graph(s) show the


Image in quadrant IV?







2. Which graph(s) show a


translation left and up?







3. Which translation(s)


preserved orientation of thr


figure and its vertices?






4. Give a verbal description and algebraio representation of each translation in the table bela



VERBAL DESGRIPTION
ALGEBRAIC REPRESENTATION


GRAPH A


GRAPHB


GRAPH C




The table represents the coordinates of triangle XYZ after a translation. Mark each statement as true or false and correct any false statements. 
qquad 5. The triangle was translated from quadrant il to quadrant i. 
qquad 6. The translation can be represented by 
(x-4,y+9),




PRE-IMAGE
IMAGE



X(-3,9)

X^(')(6,5)



Y(-6,10)

Y^(')(3,6)



Z(-1,5)

?





Z' will be located af 
(-10,1).
OMonewering the Midde LLC, 201

Unif: Transformations\newlineName\newline \qquad Homeviork 22\newlineDalo\newline \qquad Pd \qquad \newlineTRANSLATIONS ON THE COORDINATE PLANE\newlineUse the franalations ahown on graphs A-C to anower t4-4.\newlineGRAPH A\newlineGRAPHB\newline\begin{tabular}{|c|c|c|}\newline\hline \begin{tabular}{l} \newline11. Which graph(s) show the \\\newlineImage in quadrant IV?\newline\end{tabular} & \begin{tabular}{l} \newline22. Which graph(s) show a \\\newlinetranslation left and up?\newline\end{tabular} & \begin{tabular}{l} \newline33. Which translation(s) \\\newlinepreserved orientation of thr \\\newlinefigure and its vertices?\newline\end{tabular} \\\newline\hline \multicolumn{33}{|c|}{ 44. Give a verbal description and algebraio representation of each translation in the table bela } \\\newline\hline & VERBAL DESGRIPTION & ALGEBRAIC REPRESENTATION \\\newline\hline \multicolumn{33}{|l|}{ GRAPH A } \\\newline\hline \multicolumn{33}{|l|}{ GRAPHB } \\\newline\hline \multicolumn{33}{|l|}{ GRAPH C } \\\newline\hline\newline\end{tabular}\newlineThe table represents the coordinates of triangle XYZ after a translation. Mark each statement as true or false and correct any false statements. \qquad 55. The triangle was translated from quadrant il to quadrant i. \qquad 66. The translation can be represented by (x4,y+9) (x-4, y+9) ,\newline\begin{tabular}{|c|c|}\newline\hline PRE-IMAGE & IMAGE \\\newline\hlineX(3,9) X(-3,9) & X(6,5) X^{\prime}(6,5) \\\newline\hlineY(6,10) Y(-6,10) & Y(3,6) Y^{\prime}(3,6) \\\newline\hline \qquad 00 & \qquad 11 \\\newline\hline\newline\end{tabular}\newline77. Z' will be located af \qquad 22.\newlineOMonewering the Midde LLC, 201201

Full solution

Q. Unif: Transformations\newlineName\newline \qquad Homeviork 22\newlineDalo\newline \qquad Pd \qquad \newlineTRANSLATIONS ON THE COORDINATE PLANE\newlineUse the franalations ahown on graphs A-C to anower t4-4.\newlineGRAPH A\newlineGRAPHB\newline\begin{tabular}{|c|c|c|}\newline\hline \begin{tabular}{l} \newline11. Which graph(s) show the \\\newlineImage in quadrant IV?\newline\end{tabular} & \begin{tabular}{l} \newline22. Which graph(s) show a \\\newlinetranslation left and up?\newline\end{tabular} & \begin{tabular}{l} \newline33. Which translation(s) \\\newlinepreserved orientation of thr \\\newlinefigure and its vertices?\newline\end{tabular} \\\newline\hline \multicolumn{33}{|c|}{ 44. Give a verbal description and algebraio representation of each translation in the table bela } \\\newline\hline & VERBAL DESGRIPTION & ALGEBRAIC REPRESENTATION \\\newline\hline \multicolumn{33}{|l|}{ GRAPH A } \\\newline\hline \multicolumn{33}{|l|}{ GRAPHB } \\\newline\hline \multicolumn{33}{|l|}{ GRAPH C } \\\newline\hline\newline\end{tabular}\newlineThe table represents the coordinates of triangle XYZ after a translation. Mark each statement as true or false and correct any false statements. \qquad 55. The triangle was translated from quadrant il to quadrant i. \qquad 66. The translation can be represented by (x4,y+9) (x-4, y+9) ,\newline\begin{tabular}{|c|c|}\newline\hline PRE-IMAGE & IMAGE \\\newline\hlineX(3,9) X(-3,9) & X(6,5) X^{\prime}(6,5) \\\newline\hlineY(6,10) Y(-6,10) & Y(3,6) Y^{\prime}(3,6) \\\newline\hline \qquad 00 & \qquad 11 \\\newline\hline\newline\end{tabular}\newline77. Z' will be located af \qquad 22.\newlineOMonewering the Midde LLC, 201201
  1. Identify Quadrant IV Image: Look at graphs AA, BB, and CC to identify which one shows the image in quadrant IVIV.
  2. Compare Left-Up Translation: Identify the graph that shows a translation left and up by comparing the positions of the figures in each graph.
  3. Preserve Orientation of Figure: Determine which translations preserved the orientation of the figure and its vertices by observing the direction of the figures in the graphs.
  4. Describe Graph A Translation: For graph AA, describe the translation verbally and represent it algebraically.
  5. Describe Graph B Translation: For graph B, describe the translation verbally and represent it algebraically.
  6. Describe Graph C Translation: For graph CC, describe the translation verbally and represent it algebraically.
  7. Analyze Triangle XYZXYZ Coordinates: Analyze the table of coordinates for triangle XYZXYZ to determine if the triangle was translated from quadrant IIII to quadrant II.
  8. Check Algebraic Expression: Check if the translation can be represented by the algebraic expression (x4,y+9)(x-4, y+9) by applying it to the coordinates of the pre-image and comparing it to the image coordinates.
  9. Calculate ZZ' Coordinates: Calculate the new coordinates for ZZ' using the translation (x4,y+9)(x-4, y+9) and compare it to the given location of ZZ' at (10,1)(-10,1).

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