Chapter 6.7, Problem 11PPS

To determine

To draw: the rectangle similar to $ABCD$

Explanation of Solution

Given information:

Consider scale factor $=2/3$

  

Calculation:

The rectangles $ABCD\cong A\text{'}B\text{'}C\text{'}D\text{'}$

So, the corresponding sides are in same ratio.

The sides of rectangle $A\text{'}B\text{'}C\text{'}D\text{'}$ are

$\begin{array}{l}\Rightarrow B\text{'}C\text{'}=BC\times \frac{2}{3}\\ =6\times \frac{2}{3}\\ =4\text{cm}\end{array}$

  $\begin{array}{l}\Rightarrow C\text{'}D\text{'}\\ =CD\times \frac{2}{3}\\ =9\times \frac{2}{3}\\ =6\text{cm}\end{array}$

Graph:

The rectangle similar to $ABCD$