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On a coordinate plane, 2 polygons are shown. Polygon A B C D is larger than polygon A prime B prime C prime D prime and is reflected across the y-axis to form polygon A prime B prime C prime D prime.
50 points!!
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
Answers
Step-by-step explanation:
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On a coordinate plane, 2 polygons are shown. Polygon A B C D is larger than polygon A prime B prime C prime D prime and is reflected across the y-axis to form polygon A prime B prime C prime D prime.
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation
Answer:
The correct option is option (a) dilation with a scale factor less than 1 and then a reflection.
Step-by-step explanation:
Similarity refers to the two objects which have the same shape, or one has the same shape as the mirror image of the other.
Dilation, in mathematics, refers to the technique of making objects smaller or larger.
It is used in various fields like drawing of maps etc.
Polygon refers to a plane figure which is described by a finite number of straight line segments.
Here, we are given that A'B'C'D' is smaller than ABCD.
This means it is dilated with a factor less than 1.
Also, then it is given that it is a reflection of ABCD.
Therefore, the correct option is option (a) dilation with a scale factor less than 1 and then a reflection.
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