Question

polygon abcde is reflected across the x-axis to form polygon abcde. then polygon abcde 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 \\(\overline{ab}\\) is 2.20 units, the length of \\(\overline{lm}\\) is \\(\square\\) units. write your answer as a decimal number to two decimal places.

Explanation:

Step1: Effect of reflection on length

Reflection preserves length, so $A'B' = AB = 2.20$ units.

Step2: Effect of dilation on length

Dilation scales length by factor 0.5: $LM = A'B' \times 0.5$.

Step3: Calculate LM

$LM = 2.20 \times 0.5 = 1.10$ units.

Answer:

1.10