Select the correct answer. A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation?
Accepted Solution
A:
Answer:* The scale factor of the dilation is 2.5Step-by-step explanation:* Lets talk about dilation- A dilation is a transformation that changes the size of a figure. - It can become larger or smaller, but the shape of the figure does not change. - The scale factor, measures how much larger or smaller the image will be- If the scale factor greater than 1, then the image will be larger- If the scale factor between 0 and 1, then the image will be smaller* In the problem- The vertices of the triangle is A (0 , 0) , B (0 , 4) , C (6 , 0) and its image A' is (0 , 0) , (0 , 10) , (15 , 0)∵ 10 ÷ 4 = 2.5∵ 15 ÷ 6 = 2.5 ∴ The scale factor is 2.5∵ 2.5 > 1∴ The image of the triangle will be larger* The scale factor is 2.5