(1) A scale factor is simply the ratio of any two corresponding sides of similar figures.
Triangle A is 1/3 times triangle B. Therefore, the scale factor is 1/3.
One side of triangle B = 4.5. The corresponding side of triangle A is 1/3 times 4.5 = 1.5.
(1.b) Corresponding angles of similar polygons are congruent. So if triangle B has a 60 degree angle, then the corresponding angle in triangle A will also be 60 degrees.
(2) The rectangle ABCD (pre-image) is REDUCED by a scale factor of 1/2.
Multiply lengths of rectangle by 1/2 to get corresponding lengths for the image.
The area of the pre-image ABCD is length X width or 12.6cm X 5.4cm.
The image A'B'C'D' is 1/4 the area of the pre-image or 6.3cm X 2.7cm.