Answer:
Segment LL' and segment OO' are congruent (same length) and parallel (same inclination).
hope this helps! :)
Explanation:
The transformation described by the rule (x, y) → (x + 2, y + 2) is a translation two units to the right and two units up.
That means that, to create rectangle L'M'N'O', every point of the reactangle LMNO is translated the same amount in the same direction; thus, this is a rigid transformation where angles, lengths, size, shape, and orientation are kept.
Then a segment drawn from point L to L' will have the same length and the same orientation (inclination) of a segment drawn from the point O to O'. Thus, these two segments are parallel and congruent.
When a shape is rotated, it must be rotated over a line.
<em>The square must be reflected over line </em>
<em>, for it to be mapped onto itself.</em>
<em />
<u>The points are given as:</u>




To map the square onto itself, it must be reflected over its diagonal
The diagonals of the square are: AC and BD
<u>Using AC, we have:</u>
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Start by calculating the slope (m)

So, we have:



The equation is then calculated as:

This gives:



Rewrite as:

So, the square must be reflected over line
, for it to be mapped onto itself.
See attachment for square ABCD and its line of reflection.
Read more about reflections at:
brainly.com/question/1878272
Answer:
-9.8n + 10.9
Step-by-step explanation:
2.9 + 8 = 10.9
-4n + -5.8n = -9.8n