Question

segment B prime C prime has endpoints located at B'(2, 0) and C'(2, 6). segment BC was dilated at a scale factor of 2 from the origin. Which statement describes the pre-image?

Question 6 options:

segment BC is located at B (1, 0) and C (1, 3) and is one-half the size of segment B prime C prime.


segment BC is located at B (2, 0) and C (2, 6) and is the same size as segment B prime C prime.


segment BC is located at B (4, 0) and C (4, 12) and is twice the size of segment B prime C prime.


segment BC is located at B (6, 0) and C (6, 18) and is three times the size of segment B prime C prime.

Answer 1

The true statement is (a) segment BC is located at B (1, 0) and C (1, 3) and is one-half the size of segment B'C'

The coordinates are given as:

$B' = (2,0)$

$C' = (2,6)$

The scale factor from BC is given as:

$k = 2$

So, the coordinates of segment BC are calculated using:

$B' = B \times k$

$C' = C \times k$

This gives

$(2,0) = B \times 2$

Divide both sides by 2

$B = (1,0)$

Also, we have:

$(2,6) = C \times 2$

Divide both sides by 2

$C =(1,3)$

Hence, the true statement is (a)

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Answer 2

Answer:

segment BC is located at B (1, 0) and C (1, 3) and is one-half the size of segment B prime C prime.

Step-by-step explanation: