Calculate the distance between (3 + i) and (3 − i).

2 units

Question:

Calculate the distance between (3 + i) and (3 − i).

Step-by-step explanation:

This problem is equivalent to the problem:

"Calculate the distance between the points (3,1) and (3,-1)."

Since the -coordinates are the same, this is a vertical distance.

A vertical distance be be found by computing the positive difference of the -coordinates. In other words, we need only the find the distance between the numbers and on a number line.

This distance is 1-(-1)=1+1=2 units.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.