Name _____________________________________Class ______Date_____
PreAlgebra: Dilations & Finding Scale Factor Worksheet Show your work!!! 1.
"#"$%&'(&"%)*$+,'-.&/,0++1'23'.4'56
0117899:::;0+$7")*:"10#%10;
"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 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! 1D
A!
2
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. 5. 4 figures A9B9C9 B Aand ABC. "6 D
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 6 "4 "2 O 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!
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