a Draw a perpendicular segment from each vertex to l. Extend these segments on the opposite side of l until they are congruent with the first segment.
B
b Use a protractor.
C
c Use a protractor.
D
d Draw a perpendicular segment from each vertex to m. Extend these segments on the opposite side of m until they are congruent with the first segment.
A
a See solution.
B
b See solution.
C
c See solution.
D
d See solution.
Practice makes perfect
a Let's start by copying the figure.
To reflect the shape across l, we have to draw perpendicular segments from each vertex to l. By extending these segments on the opposite side of l, until they reach the same length as their corresponding first segment, we have found the position of the reflected points.
We have now plotted all the reflected points. Finally, we will connect these points in order to graph the reflected shape A'.
b Like in Part A, we begin by copying the figure.
To rotate the figure 90^(∘) counterclockwise around P, we need a protractor. First we draw segments from each vertex to P. Then, place the center of the protractor at P and line it up along one of these segments. By drawing a congruent segment from P and along the 90^(∘) mark on the protractor, we will have located one of the rotated points.
If we repeat this process for all vertices and connect the rotated points, we can draw B'.
c Like in previous parts, we start by copying the figure.
To rotate the figure 180^(∘) around Q, we need a protractor. First we draw segments from each vertex to Q. Then, place the center of the protractor at Q and line it up with one of these segments. By drawing a congruent segment from Q along the 180^(∘) mark on the protractor, we will have located the rotated point.
If we repeat this process for all vertices and connect the rotated points, we can draw C'.
d Like in previous parts, we begin by copying the figure onto graph paper.
Like in Part A, we reflect the shape across m by first drawing perpendicular segments to m from each vertex. By extending these segments on the opposite side of m until it reaches the same length as their corresponding first segment, we have found the position of the reflected points.
We have now plotted all the reflected points. Finally, we will connect these points in order to graph the reflected shape A'.
