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2. Triangle S and Triangle L are scaled copies of one another,
a. What is the scale factor from S to L?
b. What is the scale factor from L to S?
C. Triangle M is also a scaled copy of S. The scale
factor from Sto Mis Ž. What is the scale factor
from M to S?

Respuesta :

MrRoyal

An enlarged figure has a scale factor greater than 1.

  • The scale factor from S to L is 2
  • The scale factor from L to S is 1/2
  • The scale factor from M to S is 2/3

Scale factor from S to L

From the question (see attachment), we have:

[tex]S = 2[/tex] --- the base of triangle S

[tex]L = 4[/tex] --- the base of triangle L

So, the scale factor from S to L is:

[tex]k_s = \frac{L}{S}[/tex]

[tex]k_s = \frac{4}{2}[/tex]

[tex]k_s = 2[/tex]

Scale factor from L to S

This is the multiplicative inverse of the scale factor from S to L

So, the scale factor from L to S is:

[tex]k_l = \frac{1}{k_s}[/tex]

[tex]k_l = \frac{1}{2}[/tex]

Scale factor from M to S

From the question, we have:

[tex]k_s =\frac 32[/tex]

The scale factor of S to M is the multiplicative inverse of the scale factor from M to S

So, we have:

[tex]k_m = \frac 1{k_s}[/tex]

This gives

[tex]k_m = \frac 1{3/2}[/tex]

[tex]k_m = \frac 2{3}[/tex]

Hence, the scale factor from M to S is 2/3

Read more about dilation and scale factors at:

https://brainly.com/question/19347268

Ver imagen MrRoyal

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