The figure below has a point marked with a large dot. First, translate the figure 6 units to the left and 5 units down. Then, give the coordinates of the marked point in the original figure and the final figure. .. . .. X 5 . .! . . ..:.7+ ...;. . .. . . . i....46-J.... .. ...... .. : . ... .. . . .. . ... . . . .. . .. :.... .. .. . ... .. . . . ... . ... .. ... . . . . ... : . ... 9 .. . .. . . . . .. . .! . . .. . . . .. . . . :. .. . .;. . . ; . ... 1. ... . .. . . . . .. . . .. . .. .. ... . . . . .. . . .. . . .. . . . . .. . .. . . .. . . ....6+. . .. . . . . . .. . . . . ... . . ..... . ..-. . .. . . . . . . . . . .. H . . Point in original figure: (D) X Point in final figure: (0[)Translating \\LMN to the right 8 units and downward 3 units, we get its image AL'M'N' :.. .: .. 4 . . .. 4 ..; . 4 .. . . . . 30.'. . ..6. . . 4 . . .. A. 4.. 4 .. ;. . ;.. . . .. & . .. . .. . . . .. 4 . . .. 4 . A.. A .. :. . : .. ! .. .! .. -14. . ...J. i ... . .. .. .. N 1 .. . .. 8 . 8 .. 8 ..6 . . .. . . . . . 3.... .. .. . . .. . .. .. .. .. . .. 4 . . .. 4 ..; . . .. . . .. . . .+. .. .... . . . . .. . . .. .. .. .. .. . .... . . . . . . . ... . . 4 . . .. 4 . 4.. .. ... .. . B.. .E .. 4 . A .. ..E . HOME.. A. A.. A .. H. . .. Note that /LMN has vertices L (-6. 8), M (-1, 3), and N (-7, 1). Also, note that /\\L'M'N' has vertices L '(2. 5), M'(7, 0), and N'(1, -2). Complete the following- (a) Find each slope. Give exact answers (not decimal approximations]- Slope of LL' - I Slope of MM" = Slope of NN' = [b) Find each length. Give exact answers (not decimal approximations). LL ' = units MM' - Junits NN" - units (c) Choose the correct statement about the translation. The points on the original figure didn't all move the same distance and didn't O all move in the same direction. All points on the original figure moved in the same direction, but not all points moved the same distance. All points on the original figure moved the same distance, but not all points moved in the same direction. All points on the original figure moved the same distance and in the same direction.Draw the following triangle after a translation 2 units to the right and 1 unit down. .i . . . .. . . . . i .. . . . . . . . . . . . . . . . . . . . . . .. . . . X 5 . . . . . . . . .. . I . . . . . . . . . . . . . .. . I . . ! . . . .. . . . . I . . ! . . . ! . . . . . I . . . . .. . . . . . . .. . I . . . ." . I . . ! . . . . . . I .. . . . . . . . .. . . . . . . .. . . . .i . . . . .. . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . :. . .. . .. . . . . . . .. . . . . .Translate the figure 7 units to the right. Then decide if each statement about translated figures is true or false. 5 E....A. .....1.. E..... .....1.. 1.....1.. 1....1.g-J..... L. + P.... .. P... E....E. .... ..1. Howbig..... ...E.. 1.....1.. ..... E....E. .....1.. E.... Statement about translated figures True False The final side lengths are longer than the original side lengths. O O The final angle measures are larger than the original angle measures. The original figure and the final figure are congruent. O If two sides are parallel in the original figure, then those sides may not be parallel in the final figure. OThe figure below has a point marked with a large dot. First, translate the figure 7 units to the left and 4 units up. Then, give the coordinates of the marked point in the original figure and the final figure. ..i. ...i. &....j. X 5 ... .... ...j... .... Point in original figure: (]].CD B.. Point in final figure: (].D) ..i 4.... . .....".In the coordinate plane, the point X (-4, -4) is translated to the point X'(-1, -7). Under the same translation, the points Y (-1, 0) and Z (-2, -1) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'? Z'(0D) X 5Triangle RST is translated " units to the left and 9 units down. The result is AR'S'T', as shown below. ... .... 1....i T ... : ...E. .1. ...i.. ....". .... ... R i... ..i... LES ..... ...j.. : ...:.. 1....i .1... !. ... 1.... ..i.. R. ... i.... ..... ..... ..:... ...... ...:.. ...:... ..... (2) The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to give the coordinates after the translation. original coordinates - final coordinates R (7, 3) - R' (DD) S (4, 7) - S'OD T(8, 8) - T'(1D) (b) Choose the general rule below that describes the translation mapping ARST to AR'S'T. o(x, y) - (x-8, y-9) o(x, y) - (8x, 9y) o ( x, y) - (x+8, y+9) o(x, y) . (x+9, y+8) o(x, y) - (-9x, - By) o(x, y) - (-8x, - 9y) o (x, y) - (9x, By) O ( x, y ) _ (x -9, y - 8)In the coordinate plane, the point A (-4, 1) is translated to the point A'(-2, 2). Under the same translation, the points B(-8, -3) and C(-1, 3) are translated to B' and C', respectively. What are the coordinates of B' and C'? GOD X 5Translating AABC to the left 5 units and downward 8 units, we get its image A'B'C! . ..: . .: .. :. .4 . ..". ... ..: . .1 . 84 .:.. ...2.. . .. . . .. . . .i.. A .. .. . ..: . Note that \\ABC has vertices A (1, 6), B (5, 3), and C (2, 2). Also, note that \\A'B'C' has vertices A'(-4, -2), B'(0, -5), and C'(-3, -6). Complete the following- [2) Find each length. Ghe exact answers (not dedmal approximations)- AA' = units VO BB- units X CC' = units (b) Find each slope. Give exact answers (not decimal approximations). Slope of AA' = Slope of BB' - Slope of CC' = [ (c) Choose the correct statement about the translation. The points on the original figure didn't all move the same distance and didn't all move in the same direction. All points on the original figure moved the same distance and in the same direction. All points on the original figure moved the saime distance, but not all points moved in the same direction. All points on the original figure moved in the same direction, but not all points moved the same distance.Triangle ABC is translated 9 units to the right and 4 units up. The result is /\\A'B'C', as shown below. .. . . .. :. .. . .. . . .. . . . .. .. . . .. . .. :. (a) The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to give the coordinates after the translation. original coordinates - final coordinates A(-8, - 8) - A'(D B( -7, -5) - BOD C(-3, -7) - COD (b) Choose the general rule below that describes the translation mapping AABC to A'B'C' O (x, y) = (9x, 4y) o (x, y) = (x+4, y+9) O (x, y) = (x-4, y-9) o(x, y) - (x-9, y-4) O (x, y) = (4x, gy) O (x, y) = (-4x, -gy) O (x, y) - (x+9, y+4) o (x, y) - (-9x, - dy)Triangle XYZ is translated 8 units to the right and 5 units down. The result is AX 'Y'Z', as shown below. . . . .. . .... .Z -1 .. . .: .. . .. (8) The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to give the coordinates after the translation. original coordinates -+ final coordinates X ( -7, 5) - X '(ID Y ( -8, 8) - Y(ID Z(-4, 4) - 20.D) (b) Choose the general rule below that describes the translation mapping AXYZ to AX'Y'Z' o (x, y) = (-5x, ay) o (x, y) = (x-8, y+5) O (x, y) - (Bx, -5y) O (x, y) - (x+5, y-B) o (x, y) _ (x-5, y+8) o(x, y) - (x+8, y-5) O (x, y) - (-8x, Sy) O (x, y) - (5x, -By)The figure below has a point marked with a large dot. First, translate the figure 8 units to the right and 6 units up. Then, give the coordinates of the marked point in the original figure and the final figure. . . . _ . Point in original figure: ([. .. .... Point in final figure: (D) . i. .i ..The figure below has a point marked with a large dot. First, translate the figure 5 units down. Then, give the coordinates of the marked point in the original figure and the final figure. X 5 .| . . Point in original figure: ([I DD) Point in final figure: (OH-D) . i. . i ..Translating /\\XYZ to the right 6 units and upward 1 unit, we get its image AX Y'Z' ...1. .1.. ...4.. . E... .. .. .. .... . .1.. ... . . ... A .. ...1 . . i. .. . .. 3. ... 8 .. .. . . 1. A ..i. . . :. .. . . .. .. 5. .. . A .. .. .i . i. .. .. A .. .. .3 . - HP.. .....H. .. 1. .. F.!: . . ..:.. .. . .... A .. .. .i . Note that \\XYZ has vertices X (-6, - 2), Y (-3, -3), and Z (-7, -8). Also, note that AX Y'Z' has vertices X'(0, -1), Y'(3, - 2), and Z'(-1, -7). Complete the following- (2) Find each length. Give exact answers (not decimal approximations). xx'= units YY = units X Zz' = units (b) Find each slope. Give exact answers (not decimal approximations). Slope of XX' =| Slope of YY' = Slope of ZZ' = 0 (c) Choose the correct statement about the translation. All points on the original figure moved the same distance and in the same direction- All points on the original figure moved the same distance, but not all polints moved in the same direction The points on the original figure didn't all move the same distance and didn't all move in the same direction. All points on the original figure moved in the same direction, but not all points moved the same distance.Translate the figure 5 units down. Then decide if each statement about translated figures is true or false. . .4. .. .. .j.. .. . X 5 ... .... ... . F... ... .. ....! .... ... ... .4. . .1.. .1. .. ..... . ...i ... ... Be .1 ...... ... . L... .1. . .. E.. ... .1. .. . .. ... . .L. .. . . . . Statement about translated figures True False The final angle measures are the same as the original angle measures. O The final side lengths are longer than the original side lengths. O O The original figure and the final figure may not be congruent. O If two sides are parallel in the original figure, then those sides may not be parallel in the final figure. O ODraw the following quadrilateral after a translation 2 units to the right and 1 unit up. .. ..:. I. . ..:. I . .. . . . 5 4- i . .. i.. . . ." ... -HDraw the following triangle after a translation 3 units to the left and 2 units down. .1. .. 1... .1. . ... ... .. X 5 ... :... ..i. .A. .. ... .. .. .E.The figure below has a point marked with a large dot. First, translate the figure 6 units to the left. Then, give the coordinates of the marked point in the original figure and the final figure. .i.. X 5 .. ..1- Point in original figure: ... .... -R. -5.. 5. .5. Point in final figure: (]].DDD 1.. :.... 1.... .. .... A. .. . . .. . . .In the coordinate plane, the point * (-2, 1) is translated to the point X'(-6, -1). Under the same translation, the points Y (-4, -3) and Z(2, 4) are translated to Y' and Z', respectively. What are the coordinates of Y' and Z'7 YOD XTranslate the figure " units to the left. Then decide if each statement about translated figures is true or false. X .1 .. . ... ;. .. i..... .6- .. . .. .. .. .. . . .. .. ... .. .. 1 .. . . .. . . .. . .. .... .. .. . .. .; . .. . .. .. .. .. Statement about translated figures True False If two sides are parallel in the original figure, then those sides may not be parallel in the final figure. O The final side lengths are the same as the original side lengths. O The final angle measures are larger than the original angle measures. O The original figure and the final figure may not be congruent. O