Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

a. Draw the dilation of
triangle ABC, with
center (0,0), and scale
factor 2. Label this
triangle A'B'C'
5 뒤
С.
2
b. Draw the dilation of
triangle ABC, with
center (0,0), and scale
factor . Label this
triangle A"B"C".
-7 -6 -5 -4 -B
- 1
4
5
6
B
А
3
C. IS A"B"C" a dilation
of triangle A'B'C'? If
yes, what are the
center of dilation and
the scale factor?

A Draw The Dilation Of Triangle ABC With Center 00 And Scale Factor 2 Label This Triangle ABC 5 뒤 С 2 B Draw The Dilation Of Triangle ABC With Center 00 And Sca class=

Sagot :

MrRoyal

Dilation involves changing the size of a shape.

  • See attachment for the graphs of ABC, A'B'C and A"B"C"
  • A"B"C" is a dilation of A'B'C', with a scale factor of 1/4

From the given diagram, we have:

[tex]\mathbf{A = (4,-2)}[/tex]

[tex]\mathbf{B = (-2,-2)}[/tex]

[tex]\mathbf{C = (-2,2)}[/tex]

(a) Dilate by scale factor 2 with center (0,0)

We simply multiply the coordinates of ABC by 2

So, we have:

[tex]\mathbf{A' = 2 \times (4,-2) = (8,-4)}[/tex]

[tex]\mathbf{B' = 2 \times (-2,-2) = (-4,-4)}[/tex]

[tex]\mathbf{C' = 2 \times (-2,2) = (-4,4)}[/tex]

See attachment for the graph of A'B'C'

(b) Dilate by scale factor 2 with center (0,0)

We simply multiply the coordinates of ABC by 1/2

So, we have:

[tex]\mathbf{A" = \frac 12 \times (4,-2) = (2,-1)}[/tex]

[tex]\mathbf{B" = \frac 12 \times (-2,-2) = (-1,-1)}[/tex]

[tex]\mathbf{C' = \frac 12 \times (-2,2) = (-1,1)}[/tex]

See attachment for the graph of A"B"C'

(c) Is A"B"C" a dilation of A'B'C

Yes, A"B"C" is a dilation of A'B'C

  • ABC is dilated by 2 to get A'B'C
  • ABC is dilated by 1/2 to get A"B"C

So, the scale factor (k) from A'B'C' to A"B"C" is:

[tex]\mathbf{k = \frac{1/2}{2}}[/tex]

[tex]\mathbf{k = \frac 14}[/tex]

The scale factor (k) from A'B'C' to A"B"C" is 1/4

And the center is (0,0)

Read more about dilations at:

https://brainly.com/question/13176891

View image MrRoyal
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.