On a coordinate plane, rectangle B C D E has points (2, 1), (2, 4), (4, 4), (4, 1). Rectangle B prime C prime D prime E prime ha
1 answer:
Point P is called the center of rotation
<h3 /><h3>How to determine the name of point P?</h3>The complete question is added as an attachment
The coordinates of the triangles are given as:
BCDE has points (2, 1), (2, 4), (4, 4), (4, 1).
B'C'D'E' has points (-1, 2), (-4, 2), (-4, 4), (-1, 4).
From the figure, we can see that the rectangle BCDE is rotated to get the rectangle B'C'D'E'
This rotation is done through the point P as a center of rotation
Hence, the point P is called the center of rotation
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Answer:
.
Step-by-step explanation:
The given function is .
When this function is translated to the right 7 units and down 9 units, then the equation becomes
.
Always remember that; is a transformation that translates the graph of
c units to the right and k units down.
The correct choice is the first option.
Your line 4 should have "angle DEC" not "angle EDC". The order of the letters is important. I marked the two angles ABC and DEC in the attached image below. They are alternate interior angles. Because DE || AB, this means the alternate interior angles are congruent.
Since C is the midpoint of EB, this means BC = CE by the definition of the midpoint. Basically EB is cut into two halfs BC and CE which are the same length.
After you establish all of what is mentioned previously, you would use the AAS congruence theorem. AAS stands for Angle Angle Side. One pair of angles are the vertical angles (see line 2). Another pair of congruent angles is the alternate interior angles (line 4). The sides are not between the pairs of angles mentioned. Again check out the attached image for more visual information.
Finally, if we know the triangles are congruent, then the corresponding parts are congruent (CPCTC). That leads to the conclusion that DC = AC.
Edit: it's actually ASA and not AAS because the sides are between the two angles (I was thinking of another diagram earlier)
We have been given an equation . We are asked to solve the equation for t.
First of all, we will divide both sides of equation by a.
Now we will take natural log on both sides.
Using natural log property , we will get:
We know that , so we will get:
Now we will divide both sides by c as:
Therefore, our solution would be .