Question

Describe fully the single transformation which takes shape A to shape B.
У.
9
(2,
+
8.
7
A
6
5
N
4
3
2
1
O
1 2 3 4 5
6 7 8
9
х

Answer 1

Answer:

Clockwise rotation 90° about the center of (4,3)

Step-by-step explanation:

A, B, C: (1,6) (3,8) (5,6) -> A'B'C' (7,6) (9,4) (7,2)

clockwise 90° rotation formula:  

x' = (y - y₀) + x₀      x: original     x₀: center

y' = - (x - x₀) + y₀

For A (1,6) -> A' (7 , 6)

7 = (6 - y₀) + x₀               x₀ - y₀ = 1   ... (1)

6 = - (1 - x₀) + y₀              x₀ + y₀ = 7   ... (2)

(1) + (2):  2 x₀ = 8             x₀ = 4

(2)-(1):    2 y₀ = 6             y₀ = 3

Rotation center: (4 , 3)