Triangle A'B'C' is formed using the translation (x + 1. y + 1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship
between BC and B"C"?
CI
OB"C" -
3
OBC
B"C"
3
B"C"
BC
BC

Triangle ABC is formed using the translation x 1 y 1 and the dilation by a scale factor of 3 from the origin Which equation explains the relationship between BC class=

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Answer:

d

Step-by-step explanation:

(x, y) ⇒ (x + 1, y +1) ⇒ (3x, 3y)

A (-3, 3) ⇒ A' (-2, 4) ⇒ A'' (-6, 12)

B (1, -3) ⇒ B' (2, -2) ⇒ B'' (6, -6)

C (-3, -3) ⇒ C' (-2, -2) ⇒ C'' (-6, -6)

The relationship between BC and B"C" is B"C"/BC = 1/3 if the triangle A'B'C' is formed using the translation (x + 1. y + 1) and the dilation by a scale factor of 3 from the origin. option (C) is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have:

Triangle A'B'C' is formed using the translation (x + 1. y + 1) and the dilation by a scale factor of 3 from the origin.

As we know, the ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

The scale factor k = 1/3

B"C" = kBC

B"C" = BC/3

B"C"/BC = 1/3

Thus, the relationship between BC and B"C" is B"C"/BC = 1/3 if the triangle A'B'C' is formed using the translation (x + 1. y + 1) and the dilation by a scale factor of 3 from the origin. option (C) is correct.

Learn more about the geometric transformation here:

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