The figure shows line AC and line PQ intersecting at point B. Lines A'C' and P'Q' willbe the images of lines AC and PQ, respectively, under a dilation with center P and
scale factor 2.

Which of the following statements about the image of lines AC and PQ would be
TRUE under the dilation.

Line AC will be parallel to line AC, and line P Q will be the same line as line PQ.

Line AC will be perpendicular to line AC, and line P Q will be parallel to line PQ.

Line AC will be parallel to line AC and line P Q will be perpendicular to PQ.

Line AC will be parallel to line AC, and line P Q will be parallel to line PQ.

Answers

Answer 1

Answer:

After the dilation line, AC will be parallel to line AC and line PQ will be perpendicular to PQ. Option C is correct.

What is dilation?

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

Given this, the figure depicts the intersection of lines AC and PQ at point B. Under a dilation with center P and scale factor 2, lines A'C' and P'Q' will be the images of lines AC and PQ, respectively.

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

Line AC will be parallel to line AC and lines P and Q will be perpendicular to PQ. Because they will be Parallel to each other and will be on the same line.

Thus, after the dilation line, AC will be parallel to line AC and line P Q will be perpendicular to PQ. Option C is correct.

Learn more about the dilation here:

brainly.com/question/13176891

#SPJ2

Answer 2

Answer:

Answer:C

Step-by-step explanation:

Because they will be Parallel from each other and will be on the same line.

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Answers

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The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches long and 4 inches wide. Height is not listed. socratic.org

Answers

Answer:

$x=7.2$

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

$\text{Surface area of rectangular prism}=2(wl+lh+hw)$ , where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

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We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

$9\cdot 4\cdot x=2(4\cdot 9+9\cdot x+x\cdot 4)$