Name _____________________________________Class ______Date_____ PreAlgebra: Dilations & Finding Scale Factor Worksheet Show your work!!! 1. "#"$%&'(&"%)*$+,'-.&/,0++1'23'.4'56 0117899:::;0+$7")*:"10#%10;<. !"#"$%&'(&"%)*$+,'-.&/,0++1'23'.4'56 0117899:::;0+$7")*:"10#%10;<.#97&")1%=$+,9:.&/,0++1,9*+ !"#$%&$'%&!"#$%&'#"()*!&()*&+#$,%!&')*&-&+,"&$'%&-(#".&,+&.#/#0("&$"#()10%.&2%0,34 !"#"$%&'(&"%)*$+,'-.&/,0++1'23'.4'56 0117899:::;0+$7")*:"10#%10;<.#97&")1%=$+,9:.&/,0++1,9*+.#+1&>9*+.?@?;;; !"#$%&$'%&!"#$%&'#"()*!&()*&+#$,%!&')*&-&+,"&$'%&-(#".&,+&.#/#0("&$"#()10%.&2%0,34 2. !"#$%&$'%&!"#$%&'#"()*!&()*&+#$,%!&')*&-&+,"&$'%&-(#".&,+&.#/#0("&$"#()10%.&2%0,34 3. 56(0%&7(6$,"8& 4.5 &9&:& 56(0%&7(6$,"8& &9&:& 56(0%&7(6$,"8& &9&:&56(0%&7(6$,"8& &9&:& 12 3. 5. 56(0%&7(6$,"8& &9&:& 56(0%&7(6$,"8& &9&:& 56(0%&7(6$,"8& &9&:& 56(0%&7(6$,"8& &9&:& 4. 56(0%&7(6$,"8& &9&:& 56(0%&7(6$,"8& &9&:& 6. 56(0%&7(6$,"8& &9&:& 56(0%&7(6$,"8& &9&:& 3'A'5 B93595?3?'C8DE'FG !"#"$%&'(&"%)*$+,'-.&/,0++1'23'.4'56 3'A'5 !"#$%&'#"()*+& 0117899:::;0+$7")*:"10#%10;<.#97&")1%=$+,9:.&/,0++1,9*+.#+1&>9*+. 4 &,&-& !"#$%&'#"()*+& &./01&2)*3&01&$0"%41%5&645%*&#&7*%#(08%&7)99)41&:((*0;6(0)4<!/#*%:$03%&=>?&@0"%41%> &,&-& 2 B93595?3?'C8DE'FG All right 5 "4 "4 "4"6 "6 "4 es of the quadrilateral "6 ABCD. Find the "6 age A9B9C9D9 after a dilation with the given Quadrilateral A9B9C9D9 is a dilation of quadrilateral ABCD. Find the scale factor.A9B9C9D9 Classify each dilation as an enlargement or aABCD. reduction. Quadrilateral is a dilation of quadrilateral Find the ), C(!3, 2), D(!2, !2); 2. A(6, 3), B(0, 6), C(!6, 2), D(!6, !5); y each dilation1 as 4 5. scale 3. factor. Classify or a reduction. scale factor 2 4. an B enlargement A 7. Scale Factor is _______ B 113 6 3. Date y4 6 B B! © Pearson Education, Inc., publishing as Pearson Prentice Hall. 2 he4 6 he given x y 6 4. B 4 C A A! C4! x Similarity O "6 "4 "2Transformations 2 4 6 2 B 2"2 ! D! C C ! "4 A! "6 A "4x"2 O "2 "6 "4 "2 O 2 4 6 "6 D "2 D ! "4 1 "4 3 6, 3), B(0, 6), C(!6, 2), D(!6, !5); "6 4 5. A A! 8 2 4 6 8 x B ! 1 A! 2 C C! B! 1 4 D! D 1 A! 2 D! "6 D C C! D ale factor 12 6. of A quadrilateral triangle has coordinates A(!2, 9D9 is a dilation ABCD. Find the !2), B(4, !2), and C(1, 1). 1 1 with scale factor 3. y Graph its imageorA9B9C9 after a dilation each dilation as an enlargement a reduction. 2 8. Scale is _______ 4 3 Factor 6 Give the coordinates of A9B9C9, and the ratio of the areas of the 4 4. figures 5. 4 A9B9C9 B Aand ABC. 114 6. A triangle has coordinates A(!2, !2), B(4, !2),B !and C(1, 1). 3 3 9 3 B Graph its image A9B9C9 after a dilation with scale factor 4 2 2 2. x O 6 "4 "2 4 6 2Give ! C Careas the coordinates of A9B9C9, and Athe ratio of the of the A ! "2 y A A! x figures 8A9B9C9 D 6 and ABC. 4 6"4 2 1 A! 4 B! "6 2 C CD. Find the yO "6 "4 "2 1 9. Scale Factor is _______ reduction. 6"2 5. 4 2 D! C! D x 2 4 6 9 4 D! 112 4"4 "6!2), and C(1, 1). oordinates A(!2, !2), B(4, B! 2 A9B9C9 after a dilation with scale factor 32. B x of the Practice nates of A9B9C9, and theAOratio of the Careas !6 C "6 "4 4 "2 2 A! and ABC. "2 D! D 3 3 2 2 3 3"4 9 2 2 4 "6 D D! Course 3 L