Multiple choice geometry coordinates question question 12

In the attached picture you find the two triangles. To check if the lengths of the sides are the same, we use the formula for the distance between two points:

If we plug the values for the points of PQR, we have

Similarly, for STU we have

As you can see, the lengths of the sides do not match, as a triplet, so the two triangles are not congruent.

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )

- "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."