rdesmangles
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

If triangle ABC has vertices A(1, 2), B(-1, -1), and C(0, -2), which of the following coordinates is B’ of the dilation using the scale factor 4?

If Triangle ABC Has Vertices A1 2 B1 1 And C0 2 Which Of The Following Coordinates Is B Of The Dilation Using The Scale Factor 4 class=

Sagot :

fieryanswererft

Answer: B'(-4, -4)

Given : A(1, 2), B(-1, -1), C(0, -2)

"Focusing on B coordinates"

If the points are dilated with a scale factor of 4

Then new coordinates : (-1, -1) × 4 = B'(-4, -4)

semsee45

Answer:

B' = (-4, -4)

Step-by-step explanation:

Dilation:  A type of transformation that makes the pre-image larger or smaller without changing its shape.

Center of a dilation:  a fixed point about which all points are dilated.

Given:

  • A = (1, 2)
  • B = (-1, -1)
  • C = (0, -2)
  • Scale factor = 4

For dilation when the center of dilation is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:

Therefore:

A' = (1 x 4, 2 x 4) = (4, 8)

B' = (-1 x 4, -1 x 4) = (-4, -4)

C' = (0 x 4, -2 x 4) = (0, -8)

View image semsee45
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.