Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilateral EFGH is the image of ABCD after a transformation or a sequence of transformations. Which could be the transformation or sequence of transformations? Select ALL that apply.

ANSWER CHOICES

a translation of 3 units to the right, followed by a reflection across the x-axis

a rotation of about 180 degrees about the origin

a translation of 12 units downward, followed by a reflection across the y-axis

a reflection across the y-axis, followed by a reflection across the x-axis

a reflection across the line with the equation y=x

a rotation of 180 degrees about the origin, a reflection across the y-axis, followed by a reflection across the x-axis

Step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."