Dilations, Translations, and Similar Figures Review

Which of the following is the algebraic representation for a translation 7 units left and 6 units up?

• (x + 7, y - 6)

• (x - 7, y + 6)

• (x + 6, y - 7)

• (x - 6, y + 7)

Match the following TRANSLATIONS

• left 3, up 4

• (x, y)-->(x+5, y+2)

• right 5, up 2

• (x, y)-->(x+3, y-4)

• left 3, down 4

• (x, y)-->(x-5, y+2)

• right 3, down 4

• (x, y)-->(x-3, y+4)

• left 5, up 2

• (x, y)-->(x-3, y-4)

Which of the following does NOT preserve congruence?

• Dilations

• Translations

• Reflections

• Rotations

Match the following

• (x, y)-->(-x, -y)

• Reflection over x-Axis

• (x, y)-->(x, -y)

• Dilation

• (x, y)-->(x+2, y-2)

• Reflection over y-Axis

• (x, y)-->(2x, 2y)

• (x, y)-->(-x, y)

• Translation

Rectangle EFGH is dilated by a scale factor of 3. The origin (0,0) is the center of dilation. E(1,2); F(3,2); G(3,-1); H(1,-1). Which of these is the new, dilated rectangle?

Triangle ABC has coordinates A (-1, 1), B (1, 1), and C (0, -1). Triangle XYZ will be a dilation of triangle ABC with a scale factor of 3. At what coordinates should point X, of triangle XYZ, be plotted?

• (3, -3)

• (-3, 3)

• (-1, 3)

• (-3, 1)

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

A dilation produces a similar figure

• True

• False