Answer with explanation:
It is given that ,Polygon ABCDE is reflected across the x-axis to form polygon A′B′C′D′E′.
→→When a geometrical shape is reflected ,the two image that is polygon A′B′C′D′E′ and Pre image Polygon ABCDE are Congruent to each other.
→→Also, Distance from line of Reflection that is from X axis to all the vertices of polygon ABCDE = Distance from line of Reflection that is from X axis to all the vertices of polygon A′B′C′D′E′.
⇒Polygon A′B′C′D′E′ is dilated by a scale factor of 0.5 about D′ to form polygon L M N OP.
Dilation Factor <1
So, →Size of polygon L M N OP < Size of polygon A′B′C′D′E′
When a geometrical shape is dilated the two, polygon A′B′C′D′E′ and polygon L M N OP are similar to each other.
≡A→L, B→M
AB=2.20 Units
Corresponding Sides of two polygons that is , polygon A′B′C′D′E′ and polygon L M N OP, will be Proportional to each other which will be equal to Dilation factor.
⇒L M = 2.20 × AB
L M= 2.20 × 0.5
L M= 1.10 units
