Geometry: 9-1 Translations and 9-2 Reflections
Name: ______________________
Graph the image of each figure under the given translation.
1. T<–1, 4> (ΔABC)
2. T<3, 3> (MNOP)
The dashed-line figure is a translation image of the solid-line figure. Write a rule
to describe each translation. Use function notation.
3.
4.
You are visiting Washington, D.C. From the American History Museum you
walk 5 blocks east and 1 block south to the Air and Space Museum. Then you
walk 8 blocks west to the Washington Monument. Where is the Washington
Monument in relation to the American History Museum?
5.
6.
Reasoning If T<10, 15> (PQRS) = P′Q′R′S′, what translation maps P′Q′R′S′
onto PQRS?
7.
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?
8.
Use the graph at the right. Write three different
translation rules for which the image of ΔRST
has a vertex at the origin.
.9.
Find the coordinates of each image.
10. Rx-axis(A)
11. Ry-axis(B)
12. Ry = 1(C)
13. Rx = –1(D)
14. Ry = –1(E)
15. Rx = 2(F)
Coordinate Geometry Given points M(3, 1), N(5,- 2), and O(4, 4), graph
ΔMNO and its reflection image as indicated.
16. Ry-axis
17.
Ry = –2
Find the image of Z(1, 1) after two reflections, first across line ℓ1, and then
across line ℓ2.
18. ℓ1 : x = 2, ℓ2 : y-axis
19. ℓ1 : x = –2, ℓ2 : x-axis
20. ℓ1 : y = –3, ℓ2 : y-axis
21. Point A on a coordinate grid is at (3, 4). What are the coordinates of Ry = x(A)?
22. Point Z on a coordinate grid is at (–1, 3). What are the coordinates
of Ry = –x(Z)?