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In this lesson, we will learn how to rotate a shape through 90, 180, and 270 degrees about the origin and investigate what happens to the coordinates as a result.
Q1:
⃖ ⃗ 𝐴 𝐵 and ⃖ ⃗ 𝐶 𝐷 are parallel. Both have been rotated 9 0 ∘ clockwise about the point 𝐸 to ⃖ ⃗ 𝐴 ′ 𝐵 ′ and ⃖ ⃗ 𝐶 ′ 𝐷 ′ respectively. What do you notice about ⃖ ⃗ 𝐴 ′ 𝐵 ′ and ⃖ ⃗ 𝐶 ′ 𝐷 ′ ?
Q2:
In the given figure, a rotation of 9 0 ∘ counterclockwise about the point 𝐵 ′ would map triangle 𝐴 𝐵 ′ 𝐶 to triangle 𝐴 ′ 𝐵 ′ 𝐶 ′ . Does it follow that the two triangles are congruent?
Q3:
A rotation about 𝑋 takes 𝑍 to 𝑍 ′ and 𝑌 to 𝑌 ′ . What is the angle of rotation? If 𝑋 𝑍 = 4 5 , what is 𝑋 𝑍 ′ ?
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