Question

Use the Polygon tool to draw the image of the given quadrilateral under a dilation with a scale factor of 34 and center of dilation ​ (0, 0) ​.

Answer 1

See attached diagram

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
`(3)/(4)` and a center of dilation (0,0) has a rule

`(x,y)\mapsto \left((3)/(4)x,(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).