Question

PLEASE HELP!!

Answer 1

Answer:

a.) The dilation is a contraction

b.) The scale factor is $\frac{6}{8} = \frac{3}{4} = 0.75$ which is less than 1

c.) $\frac{TA}{TR} = \frac{3.33}{TR} = 0.75 \hspace{0.2cm} \Rightarrow \hspace{0.2cm} TR = \frac{3.3}{0.75} \hspace{0.2cm} \Rightarrow \hspace{0.2cm} TR = 4.4 cm.$

  $\therefore TR = TA + AR \hspace{0.2cm} \Rightarrow \hspace{0.2cm} AR = 4.4 - 3.3 = 1.1 cm$

d.)$\frac{TN}{TI} = \frac{TN}{TN + 1.6} = 0.75 \hspace{0.1cm} \Rightarrow \hspace{0.1cm} 1.33TN = TN + 1.6 \hspace{0.1cm} \Rightarrow \hspace{0.1cm} 0.33TN = 1.6 cm. \hspace{0.1cm}$

   Therefore TN = 4.8 cm

Step-by-step explanation:

a.) The dilation is a contraction

b.) The scale factor is $\frac{6}{8} = \frac{3}{4} = 0.75$ which is less than 1

c.) $\frac{TA}{TR} = \frac{3.33}{TR} = 0.75 \hspace{0.2cm} \Rightarrow \hspace{0.2cm} TR = \frac{3.3}{0.75} \hspace{0.2cm} \Rightarrow \hspace{0.2cm} TR = 4.4 cm.$

  $\therefore TR = TA + AR \hspace{0.2cm} \Rightarrow \hspace{0.2cm} AR = 4.4 - 3.3 = 1.1 cm$

d.)$\frac{TN}{TI} = \frac{TN}{TN + 1.6} = 0.75 \hspace{0.1cm} \Rightarrow \hspace{0.1cm} 1.33TN = TN + 1.6 \hspace{0.1cm} \Rightarrow \hspace{0.1cm} 0.33TN = 1.6 cm. \hspace{0.1cm}$

   Therefore TN = 4.8 cm