Determine a series of transformations that would map polygon ABCDE onto polygon
1 answer:
Answer:
A <u>rotation 180° about the origin </u>followed by <u>a translation 3 units down</u>
Step-by-step explanation:
In the figure attached, the polygons are shown.
Rotation 180° about the origin transforms point (x, y) into (-x, -y). Then, points A, B, C, D, E are transformed into:
A (-1, 1) -> (1, -1)
B (-6, 3) -> (6, -3)
C (-6, 6) -> (6, -6)
D (-3, 6) -> (3, -6)
E (-1, 5) -> (1, -5)
Translation 3 units down transforms point (x, y) into (x, y-3). Then, previous points are transformed into:
(1, -1) -> (1, -4) which corresponds to point A'
(6, -3) -> (6, -6) which corresponds to point B'
(6, -6) -> (6, -9) which corresponds to point C'
(3, -6) -> (3, -9) which corresponds to point D'
(1, -5) -> (1, -8) which corresponds to point E'
You might be interested in
The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.
<h3>How to use inverse proportionality to determine building time of a wall</h3>In this question we must use the definition of <em>inverse</em> proportionality, in which the number of workers (), no unit, is inversely proportional to the <em>building</em> time (
), in days.
According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:
In this scenario, the wall can be built in 22 days.
To learn more on inverse proportionality, we kindly invite to check this verified question: brainly.com/question/4838941