Polygon abcde is reflected across the x-axis to form polygon a′b′c′d′e′. then polygon a′b′c′d′e′ is dilated by a scale factor of 0.5 about d′ to form polygon lmnop. vertices a and b correspond to l and m, respectively. if the length of ab is 2.20 units, the length of lm units. write your answer as a decimal number to two decimal places.

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

y=mx+

c: lkllmn.

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