Can someone please help me with this math question. please fill all blanks URGENT PLEASE ANSWER

Answer:Δ ABC was dilated by a scale factor of 1/2, reflected across the x-axis and moved through the translation (4 , 1)Step-by-step explanation:* Lets explain how to solve the problem- The similar triangles have equal ratios between their   corresponding side- So lets find from the graph the corresponding sides and calculate the   ratio, which is the scale factor of the dilation- In Δ ABC : ∵ The length of the vertical line is y2 - y1- Let C is (x1 , y1) and B is (x2 , y2)∵ B = (-2 , 0) and C = (-2 , -4)∴ CB = 0 - -4 = 4- The corresponding side to BC is FE∵ The length of the vertical line is y2 - y1- Let F is (x1 , y1) , E is (x2 , y2)∵ E = (3 , 3) and F = (3 , 1)∵ FE = 3 - 1 = 2∵ Δ ABC similar to Δ DEF∵ FE/BC = 2/4 = 1/2∴ The scale factor of dilation is 1/2* Δ ABC was dilated by a scale factor of 1/2- From the graph Δ ABC in the third quadrant in which y-coordinates  of any point are negative and Δ DFE in the first quadrant in which  y-coordinates of any point are positive∵ The reflection of point (x , y) across the x-axis give image (x , -y)* Δ ABC is reflected after dilation across the x-axis- Lets find the images of the vertices of Δ ABC after dilation and  reflection  and compare it with the vertices of Δ DFE to find the  translation∵ A = (-4 , -2) , B = (-2 , 0) , C (-2 , -4)∵ Their images after dilation are A' = (-2 , -1) , B' = (-1 , 0) , C' = (-1 , -2)∴ Their image after reflection are A" = (-2 , 1) , B" = (-1 , 0) , C" = (-1 , 2)∵ The vertices of Δ DFE are D = (2 , 2) , F = (3 , 1) , E = (3 , 3)- Lets find the difference between the x-coordinates and the  y- coordinates of the corresponding vertices∵ 2 - -2 = 4 and 2 - 1 = 1∴ The x-coordinates add by 4 and the y-coordinates add by 1∴ Their moved 4 units to the right and 1 unit up* The Δ ABC after dilation and reflection moved through the   translation (4 , 1)