Answer:
Step-by-step explanation:
A triangle is a polygon with three edges and three vertices and there are right triangle , obtuse triangles , acute triangles , isosceles triangles, equilateral triangle, and scalene triangles
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In this case we have the following expression:

We know that Karen was trying to factor out this and she found that the greatest common factor of these terms was 2, in other words we can write this expression as:

An area model for this expression could be the area of a rectangle that has the following dimensions:

So the area model can be written as:

is a slightly more compact way of saying
. So

We have been given three statements. From those statements, we have to pick the statement that can conclude that that two lines are parallel.
Statement 1:
If right angles are formed, then lines are parallel.
This is not valid because if the angle formed is right angle then lines forming right angle will be perpendicular.
Statement 2:
If two lines are perpendicular to another line, then they are parallel.
This is valid because the line on which other two lines are perpendicular will work as transversal and the alternet interior angles will be equal. Hence the two perpendicular lines on given line will be parallel to each other.
Statement 3:
If alternate interior angles are equal, then lines are parallel.
This is valid as explained above.
Hence final answer are statement 2 and statement 3 both.