2) Optimus is translated by the rule \((x,y)\rightarrow (x-9,y-11)\)
a) Plot the image b) Name the image point |
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(5) Translate \(DENA\) by the rule \((x, y)\rightarrow (x – 2, y + 3)\). Find the coordinates of the image.
\(D (1, 2), E (0, -1), N (6, -3), A (7, 0)\)
6) \(\triangle ACE\) is translated to \(\triangle A'C’E'\). Given the coordinates of \(\triangle A’C’E'\) and the rule \((x, y)\rightarrow(x +4, y – 1)\), find the coordinates of the pre-image.
\(A' (-2, 2)\)
\(C' (2, 3)\)
\(E' (-2, -1)\)
7) \(\triangle GEO\) is translated by the vector \(\big\langle 5, 2\big\rangle\) to create image \(\triangle G’E’O’\)
\(G(-5, 1), E (-2, 1), O (-5, 5)\)
a) Find the coordinates of \(\triangle G’E’O’\).
b) Find \(GE\) and \(G’E’\) and compare their lengths.
c) Find \(GO\) and \(G’O’\) and compare their lengths.
d) Find \(m\angle G\) and \(m\angle G'\) and compare their measures.
e) What does it mean that \(\triangle GEO\) and \(\triangle G'E'O'\) are isometries?
\(D (1, 2), E (0, -1), N (6, -3), A (7, 0)\)
6) \(\triangle ACE\) is translated to \(\triangle A'C’E'\). Given the coordinates of \(\triangle A’C’E'\) and the rule \((x, y)\rightarrow(x +4, y – 1)\), find the coordinates of the pre-image.
\(A' (-2, 2)\)
\(C' (2, 3)\)
\(E' (-2, -1)\)
7) \(\triangle GEO\) is translated by the vector \(\big\langle 5, 2\big\rangle\) to create image \(\triangle G’E’O’\)
\(G(-5, 1), E (-2, 1), O (-5, 5)\)
a) Find the coordinates of \(\triangle G’E’O’\).
b) Find \(GE\) and \(G’E’\) and compare their lengths.
c) Find \(GO\) and \(G’O’\) and compare their lengths.
d) Find \(m\angle G\) and \(m\angle G'\) and compare their measures.
e) What does it mean that \(\triangle GEO\) and \(\triangle G'E'O'\) are isometries?
9) What is the equation for the translated function from #8?
11) Plot C′S′O′ after a translation of \(\big\langle 8, -3\big\rangle\). Move the points to the correct location.
12) You notice your friend looking at her smart phone, scrolling through articles with her finger. Describe what she is doing on her phone as it relates to this target.
13) Construct a vector. Translate the figure using your vector.
13) Construct a vector. Translate the figure using your vector.
16) Find the distance between \(O(5, -1)\) and \(K(-1, 7)\)