A line passes through the point (6,-1) and is perpendicular to the line with equation -2x + 3y = -6.
2 answers:
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Answer:
Yes, the polygons are similar.
Step-by-step explanation:
A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,
Step 1:
Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.
Step 2:
To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.
And this is why the polygons are similar :)
ANSWER
By simplifying the left hand side using the Pythagorean Identity.
EXPLANATION
The given identity is
Take the left hand side and simplify to get the right hand side.
Collect LCM for the denominators.
Recall the Pythagorean Identity.
This implies that:
We substitute this to get,