Polygon ABCD has sides with these lengths: , 5 units; , 4 units; , 4.5 units; and , 7 units. The slope of is 5, the slope of is 0.25, the slope of is -2, and the slope of is 0. The polygon is dilated from point A by a scale factor of 1.2 to form polygon A′B′C′D′. Match the slopes and lengths of the sides of polygon A′B′C′D′ to their values.

Answer:⇒ Slope of |A'B'| = Slope of |AB| = 5      Length of |A'B'| = K × length of |AB|                                = 1.2 × 5                                = 6 units⇒   Slope of |B'C'| = Slope of |BC| = 0.25      Length of |B'C'| = K × length of |BC|                                = 1.2 × 4                                = 4.8 units⇒   Slope of |C'D'| = Slope of |CD| = -2      Length of |C'D'| = K × length of |CD|                                = 1.2 × 4.5                                = 5.4 units⇒   Slope of |A'D'| = Slope of |AD| = 0      Length of |A'D'| = K × length of |AD|                                = 1.2 × 7                                = 8.4 unitsStep-by-step explanation:Dilation changes the length of corresponding sides to K times (where K is dilation factor) but it does not affect the slopes of the line segments.i.e. Slope of primed segments = Slope of corresponding unprimed segments Length of primed segments = K × length of corresponding unprimed segmentsWith dilation factor K = 1.2, Calculating for |A'B'| |B'C'| |C'D'| |A'D'|