Answer these two questions in 3-5 sentences. Are the figures

Question

similar? ABC has vertices A (-4, 3)
, B (-3, 1), and C' (-1, 2). ABC is rotated clockwise about the origin and then translated. AEFG has vertices E (4.5, 5), F (1.6, 3.8), and G (3, 1.5). Is AEF G the image
of ДАВС? ABC A(-4,3) B(-3,1) C(-1,2) EFG E,(4.5,5) F(between 3 and 4 more towards 4, and inbetween 1 and 2 ) G (3, inbetween 1 and 2

(4 points)

Answer 1

To determine if the figures ABC and AEFG are similar, we must consider their corresponding angles and side lengths. First, we need to confirm that ABC has been appropriately transformed (rotated and translated) to match AEFG's dimensions and orientation. Analyzing the coordinates, we see that the points of ABC after transformation do not closely match the points of AEFG in scale or angle, suggesting they likely do not share similar properties.

While both triangles have been manipulated through rotation and translation, AEFG's vertices do not correspond proportionally to those of ABC, indicating they are not similar figures. For similarity, the ratios of corresponding sides must be equal, which does not appear to hold in this case. Thus, ABC and AEFG are not similar figures.