Problem
given figure. Nashmil is using her computer to draw similar figures. Rectangle \( A B C D \) measures \( 2 \mathrm{~cm} \). by \( 3 \mathrm{~cm} \). She rotated the figure \( \frac{1}{4} \) turn and doubled the dimensions to draw rectangle \( P Q R S \). they have the same All congruent figu ruent. When you double the dimensions, the size changes but not the shape. So, the two rectangles are similar. You can also draw a similar figure by tripling the dime given figure. can use the symb lar. e similar, or congn \( { }_{D}^{A} \) D is similar to \( \mathrm{H} \). Draw a triangle similar to \( \triangle M K V \) by doubling the dimensions of \( \triangle M K V \). Draw another similar triangle by tripling the dimensions of \( \triangle M K V \). so \[ \begin{array}{l} \triangle A B C \sim \triangle M K V \\ \triangle D E F \sim \triangle M K V \end{array} \] - Is \( \triangle A B C \) similar to \( \triangle D E F \) ?
Solution
Step 1 ：\[\triangle A B C \sim \triangle M K V\]
Step 2 ：\[\triangle D E F \sim \triangle M K V\]
Step 3 ：\[\triangle A B C \sim \triangle D E F\]
