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Zina [86]
3 years ago
6

Use the Polygon tool to draw the image of the given quadrilateral under a dilation with a scale factor of 34 and center of dilat

ion ​ (0, 0) ​.

Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

See attached diagram

Step-by-step explanation:

Given quadrilateral has vertices at points A(-8,4), B(4,-4), C(0,-8) and D(-4,-4).

A dilation with a scale factor of \dfrac{3}{4} and a center of dilation (0,0) has a rule

(x,y)\mapsto \left(\dfrac{3}{4}x,\dfrac{3}{4}y\right).

Then

  • A(-8,4)→E(-6,3);
  • B(4,-4)→F(3,-3);
  • C(0,-8)→G(0,-6);
  • D(-4,-4)→H(-3,-3).

See attached diagram for details.

Remark: If a scale factor is 34, then the rule is (x,y)→(34x,34y) and image vertices have coordinates (-272,136), (136,-136), (0,-272), (-136,-136).

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