Name Class Date
1.ΔXYZ has coordinates X(2, 3), Y(1, 4), and Z(8, 9). A translation maps X to
X′(4, 7). What are the coordinates for Y′ and Z′ for this translation?
2.Use the graph at the right. Write three different
translation rules for which the image of ΔRST
has a vertex at the origin.
3.Use the graph at the right. Write three different
translation rules for which the image of ΔBCD has
a vertex at the origin.
Graph the image of each figure under the given translation.
Find the image of Z(1, 1) after two reflections, first across line ℓ1, and then
across line ℓ2.
8.ℓ1 : y = 2, ℓ2 : x-axis / 9.ℓ1 : y = –3, ℓ2 : y-axis
10.ℓ1 : x = 3, ℓ2 : y = 2 / 11.ℓ1 : x = –1, ℓ2 : y = –3
12. Point A on a coordinate grid is at (3, 4). What are the coordinates of Ry=x(A)?
13.Point Z on a coordinate grid is at (–1, 3). What are the coordinates
of Ry = –x(Z)?
Copy each figure and point P. Draw the image of each figure for the given
rotation about P. Use prime notation to label the vertices of the image.
16.120° / 17.180°
For Exercises 18-20, ΔABC has vertices A(2, 2), B(3, – 2), and C(–1, 3).
18.Graph r(90º, O)(∆ABC). / 19.Graph r(180º, O)(∆ABC). / 20.Graph r(270º, O)(∆ABC).21.A pie is cut into 12 equal slices. What is the angle of rotation about the center
that will map a piece of pie to a piece that is two slices away from it?
22.∆RST has vertices at R(0, 3), S(4, 0), and T(0, 0). What are the coordinates of
the vertices of r(–90º, T)(∆RST)?
23.∆FGH has vertices F(–1, 2), G(0, 0), and H(3, – 1). What are the coordinates
of the vertices of r(–90º, G)(∆FGH)?