Describe the effect of the dilation of the angle abc with a scale factor of 5 and a center point of dilation at the origin (0,0). a. Triangle A′B′C′ is 5 times large than triangle ABC and is 5 times closer to the center point of dilation. b. Triangle A′B′C′ is 5 times smaller than triangle ABC and is 5 times closer to the center point of dilation. c. Triangle A′B′C′ is 5 times smaller than triangle ABC and is 5 times as far from the center point of dilation. d. Triangle A′B′C′ is 5 times as large as triangle ABC and is 5 times as far from the center point of dilation
The correct answer is c. Triangle A′B′C′ is 5 times smaller than triangle ABC and is 5 times as far from the center point of dilation.
When a figure is dilated with a scale factor greater than 1, it becomes larger. However, in this case, the scale factor is 5, which means the figure becomes 5 times smaller.
Additionally, when a figure is dilated with a center point at the origin, the distance between each point of the original figure and the origin is multiplied by the scale factor. In this case, the scale factor is 5, so the distance between each point of triangle ABC and the origin is multiplied by 5, making triangle A′B′C′ 5 times as far from the center point of dilation.