In ΔABC, ∠ ABC is a right angle included between AB ¯ ¯ ¯ ¯ ¯ = 3 units and BC ¯ ¯ ¯ ¯ ¯ = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the center of dilation, resulting in the image ΔA′B′C′. Which statement about A'B ¯ ¯ ¯ ¯ ¯ ¯ is true?

Question

In ΔABC, ∠  ABC is a right angle included between AB ¯ ¯ ¯ ¯ ¯    = 3 units and BC ¯ ¯ ¯ ¯ ¯    = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the center of dilation, resulting in the image ΔA′B′C′. Which statement about A'B ¯ ¯ ¯ ¯ ¯ ¯    is true?

anonymous · Answer

A'B ¯ ¯ ¯ ¯ ¯ ¯    is 1.5 units long and lies on the same line as AB ¯ ¯ ¯ ¯ ¯   .


A'B ¯ ¯ ¯ ¯ ¯ ¯    is 3 units long and lies on the same line as  AB ¯ ¯ ¯ ¯ ¯   .


A'B ¯ ¯ ¯ ¯ ¯ ¯    is 1.5 units long but lies on a different line than AB ¯ ¯ ¯ ¯ ¯   .


A'B ¯ ¯ ¯ ¯ ¯ ¯    is 3 units long but lies on a different line than AB ¯ ¯ ¯ ¯ ¯