b To rotate one of the polygon's vertex by 90^(∘) counterclockwise about the origin, we must draw a segment from it to the origin. Next, we use a protractor to draw a congruent segment at the 90^(∘) mark on the protractor.
Let's do the same thing with one more point.
If we repeat the procedure for the remaining two points, we can draw the rotated polygon.
By examining the graph, we can identify the coordinates of A'B'C'D'.
&A'=(-2,- 1)
&B'=(-5,0)
&C'=(- 5,2)
&D'=(-2,6)
c To reflect a vertex across the y-axis, we draw segments from the vertex towards and perpendicular to the y-axis. Let's demonstrate with point D.
By extending this segment on the other side of the y-axis and making it congruent with the first segment, we have reflected the vertex across the y-axis.
If we repeat the procedure for the remaining points, we can draw the reflected polygon.
Examining the diagram, we see that the coordinates of A'' are (1,2) and C'' is (- 2,5).
d To calculate the area of a trapezoid we have to multiply its height with the sum of its parallel sides and divide the product by 2.
