A polygon is graphed on a coordinate grid with (x,y) representing a certain point on the polygon. The polygon is transformed using the rule (x,y)→(ax,ay). Which statement must be true? Select all that apply. A.If a is greater than 1, the image of the polygon is congruent to the polygon. B.If a is between 0 and 1, the image of the polygon is not congruent to the polygon. C.If a is greater than 1, the image of the polygon is smaller than the polygon. D.If a is between 0 and 1, the image of the polygon is smaller than the polygon. E.If a is greater than 1, the image of the polygon is larger than the polygon. F. If a is between 0 and 1, the image of the polygon is larger than the polygon.
A polygon is graphed on a coordinate grid with (x,y) representing a certain point on the polygon. The polygon is transformed using the rule (x,y)→(ax,ay). Which statement must be true? Select all that apply. A.If a is greater than 1, the image of the polygon is congruent to the polygon. B.If a is between 0 and 1, the image of the polygon is not congruent to the polygon. C.If a is greater than 1, the image of the polygon is smaller than the polygon. D.If a is between 0 and 1, the image of the polygon is smaller than the polygon. E.If a is greater than 1, the image of the polygon is larger than the polygon. F. If a is between 0 and 1, the image of the polygon is larger than the polygon.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A polygon is graphed on a coordinate grid with (x,y) representing a certain point on the polygon. The polygon is transformed using the rule (x,y)→(ax,ay). Which statement must be true?
Select all that apply.
Select all that apply.
A.If a is greater than 1, the image of the polygon is congruent to the polygon.
B.If a is between 0 and 1, the image of the polygon is not congruent to the polygon.
C.If a is greater than 1, the image of the polygon is smaller than the polygon.
D.If a is between 0 and 1, the image of the polygon is smaller than the polygon.
E.If a is greater than 1, the image of the polygon is larger than the polygon.
F.
If a is between 0 and 1, the image of the polygon is larger than the polygon.
Expert Solution
Step 1
Polygon is defined as a two-dimensional geometric figure having a finite number of sides. They are bounded by straight lines. They do not have curved sides. They are fully closed structures. Dilation is defined as changing the size of the polygon.
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