Polygon ABCD is plotted on a coordinate plane. If the polygon translates 3 units to the left and 1 unit down, the length of diagonal AC is units. If the polygon translates 3 units further to the left and four units down, the length of diagonal AC .

1). 2 units

2). 2 units

Step-by-step explanation:

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Length of diagonal AC of the polygon ABCD = 4 - 2 = 2 units

If the polygon translates 3 units left and 1 unit down, length of the diagonal AC will remain unchanged as 2 units.

(Since translation is a rigid transformation in which shape and size of a figure doesn't change)

A'C' = 2 units

Similarly, if the polygon translates further length of A'C' will be same as 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.

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step-by-step explanation: