Triangle ghi is translated using the rule (x, y) → (x + 5, y) to create triangle g′h′i′. if a line segment is drawn from point g to point g′ and from point h to point h′, which statement would  best  describe the line segments drawn?   they share the same midpoints.  they are parallel and congruent.  they are diameters of concentric circles.  they are perpendicular to each other. 

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.

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.