Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Segment AB measures 3 cm. Point O is the center of dilation. How long is the image of AB after a dilation with . . .

Use decimal notation if necessary.



a. scale factor 5?

Sagot :

absor201

Answer:

The image of AB will be 15 cm long after dilation by a scale factor of 5.

Step-by-step explanation:

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

  • If the scale factor > 1, the image is enlarged
  • If the scale factor is between 0 and 1, it gets shrunk
  • If the scale factor = 1, the object and the image are congruent

Rule to calculate the mage of the segment AB after dilation of the segment AB by a scale factor 5 centered at the origin

AB = length → A'B'  = 5(length)

It means the length of the image of the segment AB can be determined by multiplying the length of the original segment AB by 5.

so

AB = 3 cm

Thus, the length of image A'B' will be:

A'B' = 5(3) = 15 cm

Therefore, the image of AB will be 15 cm long after dilation by a scale factor of 5.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.