Question

Select the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 4, centered at the origin where the endpoints are A(−2,−3) and B (−4,−5) .(1 point) Responses A′(−8,−12) and B′(−16,−20) cap A prime times open paren negative 8 comma negative 12 close paren and cap b prime times open paren negative 16 comma negative 20 close paren - correct A′ (−8,−12) and B′ (−4,−5) A′ (−8,−12) and B′ (−4,−5) - no response given A′ (−2, 3) and B′ (−4,−5) A′ (−2, 3) and B′ (−4,−5) - no response given A′ (8,12) and B′(16,20)

Answer 1

To dilate the points A(−2,−3) and B(−4,−5) with a scale factor of 4 centered at the origin, we multiply the x and y coordinates of each point by 4.

For point A(−2,−3):

• \( A' = (−2 \times 4, −3 \times 4) = (−8, −12) \)

For point B(−4,−5):

• \( B' = (−4 \times 4, −5 \times 4) = (−16, −20) \)

So, the coordinates after dilation will be:

• \( A'(-8, -12) \)
• \( B'(-16, -20) \)

The correct response is: A′(−8,−12) and B′(−16,−20).