Abc has vertices of a(0, 0), b(–4, 0), and c(–2, 4). the coordinates of each vertex are multiplied by 3 to create aef. determine if abc is similar to aef. explain your answer.
a. no, they are not similar because the corresponding angles are not congruent.
b. no, they are not similar because the corresponding sides are not proportional.
c. yes, they are similar with a scale factor of 1: 3.
d. yes, they are similar with a scale factor of 0: 3.

Option C is right

Step-by-step explanation:

Given that ABC has vertices of

When coordinates are multiplied by 3, to create AEF, we get new coordinates as

Comparing the sides we have

Thus we find that Sides of ABC are proportional to A'B'C'

Hence they are similar with scale factor of 3

Option C is right.

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

1 3 5

step-by-step explanation:

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