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.

9514 1404 393

  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.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.