The graphs of triangle tri and its image are shown below. triangle tri is translated horizontally and vertically, resulting in its image, triangle t'r'i'. use the vertices from a pair of corresponding angles in the images to algebraically describe the horizontal and vertical translation. include all of your work in your final answer.

(x-7, y-5)

Step-by-step explanation:

To describe a translation, track its movement of one point from its pre-image to image since all points move the same direction and distance.

Point I starts at (-3,2). Point I' ends at (-10,-3). This means that x went from -3-->-10 which is -7. So we write x-7 or x+-7. The y coordinate went from 2-->-3 which is -5. So we write y-5 or y+-5.

Put it together into an (x,y) point as (x-7, y-5) or (x+-7, y+-5).

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.