Translate \(QUAD\) to the left 3 units and down 7 units. Translate \(\Delta DEF\) to the right 5 units and up 11 units. The coordinates of \(\Delta DEF\) are \(D(4,−2)\), \(E(7,−4)\) and \(F(5,3)\). Transformation of Coordinates: To rotate a point (x, y) by an angle, you multiply the rotation matrix by the point’s coordinates.The resulting coordinates (x’, y’) are the point’s new location after rotation.Find the translation rule that would move \(A\) to \(A′(0,0)\), for #16.If \(\Delta A′B′C′\) was the preimage and \(\Delta ABC\) was the image, write the translation rule for #15.If \(\Delta A′B′C′\) was the preimage and \(\Delta ABC\) was the image, write the translation rule for #14.Hence, the transformation matrix is 2 6 3 1 Solved Example: 2 A triangle is defined by 2 4 4 2 2 4 Find the transformed coordinates after the following transformations. What can you say about \(\Delta ABC\) and \(\Delta A′B′C′\)? Can you say this for any translation? On solving these equations we get, a 2, b 3, c 6 and d 1.Find the lengths of all the sides of \(\Delta A′B′C′\).Which rules could describe the rotation Check all that apply., Triangle RST was transformed using the rule (x, y. What are the coordinates of S', Triangle XYZ is rotated to create the image triangle X'Y'Z. The triangle is transformed according to the Rule 0,270. Find the lengths of all the sides of \(\Delta ABC\). Study with Quizlet and memorize flashcards containing terms like A triangle has vertices at R(1, 1), S(-2, -4), and T(-3, -3).Use the triangles from #17 to answer questions 18-20. In questions 14-17, \(\Delta A′B′C′\) is the image of \(\Delta ABC\). Find the vertices of \(\Delta A′B′C′\), given the translation rules below. Use the translation \((x,y)\rightarrow (x+5, y−9)\) for questions 1-7. What if you were given the coordinates of a quadrilateral and you were asked to move that quadrilateral 3 units to the left and 2 units down? What would its new coordinates be?
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