Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.