Geometry CC WS 2.4B Composition of Transformations
1. In the accompanying diagram, l and m are symmetry lines for rectangle ABCD. Find 𝑟𝑙 ∘ 𝑟𝑚 ∘ 𝑟𝑙 (𝐷).
2.
In the accompanying diagram, l and m are symmetry lines for regular pentagon ABCDE.
a. Find 𝑟𝑙 ∘ 𝑟𝑚 (𝐷).
̅̅̅̅ ).
b. Find 𝑟𝑙 ∘ 𝑟𝑚 (𝐴𝐸
̅̅̅̅ ).
c. Find 𝑟𝑚 ∘ 𝑟𝑙 ∘ 𝑟𝑚 (𝐸𝐷
d. Find 𝑟𝑙 ∘ 𝑅72° (𝐵)
3.
In the accompanying diagram, ABCD is a square with lines of symmetry l, m, and f.
̅̅̅̅ ).
a. Find 𝑟𝑙 ∘ 𝑟𝑓 ∘ 𝑟𝑚 (𝐵𝐹
b. Find 𝑟𝑚 ∘ 𝑟𝑓 ∘ 𝑟𝑙 (𝐷).
4. In the accompanying diagram, square ABCD is inscribed in a circle with center O.
a. Find 𝑅−180 ∘ 𝑅90 (𝐵).
b. Find 𝑅−90 ∘ 𝑅270 (𝐵).
5. In the accompanying diagram, regular hexagon ABCDEF is inscribed in circle O. With O as the center of rotation;
a. Find 𝑅120 ∘ 𝑅60 (𝐵).
b. Find 𝑅−120 ∘ 𝑅240 (𝐵).
̅̅̅̅).
6. In the accompanying diagram, the regular octagon has lines of symmetry l, m, and f. Find 𝑟𝑓 ∘ 𝑟𝑚 (𝐴𝐻
̅̅̅̅).
7. In the accompanying figure, l and m are symmetry lines for figure ABCDEF. Find 𝑟𝑚 ∘ 𝑟𝑙 ∘ 𝑟𝑚 (𝐴𝐵