Question

Triangle A'B'C is a dilation of triangle ABC. What is AB? AC= 15 and A'C'= 10 A'B'= 6

a) 4
b) 5
c) 6
d) 8

Answer 1

The length of segment AB in the original triangle ABC is 4 units, calculated using the dilation factor obtained from the given lengths of corresponding segments in the dilated triangle A'B'C'.

Step-by-step explanation:

The question is asking for the length of the segment AB in the original triangle ABC, given that triangle A'B'C' is a dilation of triangle ABC with specific lengths provided for segments AC, A'C', and A'B'. Since AC is given as 15 units and A'C' is given as 10 units, we can find the dilation factor by dividing the length of A'C' by the length of AC, which is 10/15 or 2/3. Knowing the dilation factor, we can find AB by multiplying the length of A'B' (6 units) by the dilation factor. Therefore, AB = 6 * (2/3) = 4 units.