Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
2. Reflections
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Exercise 37 Page 560

Practice makes perfect
a We will first draw a line through that is perpendicular to the line of reflection, Notice that the lines and are perpendicular to each other.
Hence, we need to draw a line through that is parallel to the line Then, we will find the horizontal and vertical changes, and from the vertex to the intersection point of the two lines. Let's do it.

We see that and Therefore, we will go unit right and unit down from the intersection point

As a result, we get the point which is the image of
b We want to reflect the point across the line
To do it, we will first draw a line through that is perpendicular to the line of reflection, Since the lines and are perpendicular to each other, we will draw a line through that is parallel to Then, we will find the horizontal and vertical changes, and

We see that and Now, we will go units left and units down from the intersection point

As a result, we get the point which is the image of
c Next, we will reflect the point across the line
To do it, we will follow the same steps followed in Part A. Let's do it.

We see that and Now, we will go unit left and unit up from the intersection point

As a result, we get the point which is the image of
d Finally, we will reflect the point across the line
To do it, we will do the same things we did in Part B.

We see that and Now, we will go units right and units up from the intersection point

As a result, we get the point which is the image of
e We see that the points and have the same coordinates. Hence, they are the same point.