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Amiraneli [1.4K]
3 years ago
8

3. Candace drew quadrilateral ABCD with vertices A(3, 3), B(5, 3), C(7, 1), and D(1, 1). Miguel wants to dilate Candace's quadri

lateral by a scale factor of 5/5. Which statement is true? *
A-Quadrilateral ABCD is smaller than quadrilateral A'B'C'D'.

B-The algebraic expression of the dilation is (x, y) -> (5x, 5y).

C-The coordinates of quadrilateral A'B'C'D' will be A'(15, 15), B'(9, 15), C'(5, 35), D'(5, 5).

D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
8 0

Answer:

D-Quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Step-by-step explanation:

The scale factor is equal to 1. Hence, the quadrilateral A'B'C'D' will be identical to quadrilateral ABCD, whose vertices are the same.

The algebraic expression of the dilation is:

(x',y') = (x,y)

Besides, the coordinates of the new quadrilateral are A'(3, 3), B'(5, 3), C'(7, 1), and D'(1, 1)

And quadrilateral A'B'C'D' will be congruent to quadrilateral ABCD.

Therefore, the right answer is D.

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