which pair of transformations is the same as a reflection across the y - axis?\na a rotation of 90° counter…

which pair of transformations is the same as a reflection across the y - axis?\na a rotation of 90° counter - clockwise and a reflection across the x - axis\nb a rotation of 90° clockwise and a reflection across the y - axis\nc a rotation of 180° and a reflection across the x - axis\nd a rotation of 180° and a reflection across the y - axis

which pair of transformations is the same as a reflection across the y - axis?\na a rotation of 90° counter - clockwise and a reflection across the x - axis\nb a rotation of 90° clockwise and a reflection across the y - axis\nc a rotation of 180° and a reflection across the x - axis\nd a rotation of 180° and a reflection across the y - axis

Answer

Explanation:

Step1: Recall transformation rules

Let a point be ((x,y)). A reflection across the (y -)axis changes it to ((-x,y)).

Step2: Analyze option C

For a point ((x,y)), a rotation of (180^{\circ}) about the origin changes it to ((-x,-y)). Then a reflection across the (x - )axis changes ((-x,-y)) to ((-x,y)) which is the same as a reflection across the (y - )axis.

Answer:

C. a rotation of (180^{\circ}) and a reflection across the (x - )axis