Draw the triangle with the given vertices. multiply each coordinate of the

vertices by 3 and then draw the new triangle. how are the two triangles

related?

1. (0, 0), (1, 3), (2, 1)

2. (-3, -2), (-1, 4), (2, - 2)

The two triangles would be similar.

Step-by-step explanation:

Since, when each coordinate of the vertices of a triangle is multiplied by a number k,

Then the triangle is dilated by the factor k,

i.e, the resultant triangle is similar to the triangle.

1. Given vertices of the triangle,

(0, 0), (1, 3) and (2, 1)

By multiplying each coordinate of the vertices by 3,

We obtain the triangle having vertices,

(0, 0), (3, 9), (6, 3)

draw the points in coordinates plan and join them by straight line,

We observed that triangles are similar.

2.  Given vertices of the triangle,

(-3, -2), (-1, 4) and (2, - 2)

By multiplying each coordinate of the vertices by 3,

We obtain the triangle having vertices,

(-9, -6), (-3, 12) and (6, - 6)

Draw the points in coordinates plan and join them by straight line,

We observed that triangles are similar.

answer:

your answer is: c. 196 7/8 in^3.

- "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."