The trapezium `ABCD` is moved to the new position shown by trapezium `SRQP.`
Which of these transformations resulted in the new position?
- Rotate `ABCD` 180° clockwise about the origin.
- Rotate `ABCD` 270° clockwise about the origin.
- Reflect `ABCD` across the `x`-axis, then translate 8 units left.
- Reflect `ABCD` across the `y`-axis, then translate 7 units down.
Show Worked Solution
`text(Reflection in the)\ xtext(-axis:)`
`ABCD -> A^{prime}B^{prime}C^{prime}D^{prime}`
`text(Translate 8 units left:)`
`A^{prime}B^{prime}C^{prime}D^{prime} -> SRQP`
`=>C`