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 \( \triangle D E F \) ?
Answer
\[\triangle A B C \sim \triangle D E F\]
Step 1 ：\[\triangle A B C \sim \triangle M K V\]
Step 2 ：\[\triangle D E F \sim \triangle M K V\]
Step 3 ：\[\triangle A B C \sim \triangle D E F\]
