Question

Please answer

A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain
point of the polygon. The polygon is transformed using the rule (x,y) → (ax, ay). Which
statement must be true?
A.Ifa 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 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.

Answer 1

9514 1404 393

Answer:

  D.  If a is between 0 and 1, the image of the polygon is smaller than the polygon.

Step-by-step explanation:

The given transformation represents a dilation by a scale factor of 'a'. Every linear dimension of the image polygon will be a factor of 'a' times the corresponding dimension of the original.

When a > 1, the image is larger.

When a = 1, the image is congruent to the original (no sizes have changed).

When 0 < a < 1, the image is smaller. This description matches choice D.

Answer 2

Answer: d

Step-by-step explanation: