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Expert-verified Found in: Page 243 ### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279 # ABCD is a parallelogram. Find the value of each ratio. $AB:CD$

The simplest form of $AB:CD=1:1$

See the step by step solution

## Step 1. Given information.

According to the given figure is, In parallelogram, opposite sides are same in length.

$AB=CD$

$\begin{array}{l}AB=15\\ CD=15\end{array}$

Write the ratio,

$\begin{array}{l}AB:CD=15:15\\ \frac{AB}{CD}=\frac{15}{15}\end{array}$

## Step 2. Concept Used.

To write the fraction in simplest form, divide the numerator and denominator with the GCF (Greatest Common Factor).

## Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

$\begin{array}{l}15=3×5\\ 15=3×5\end{array}$

Here GCF is$3×5=15$.

## Step 4. Let’s divide the numerator and denominator with the GCF.

Here we will divide the numerator and denominator by15.

$\frac{15}{15}=\frac{15/15}{15/15}=\frac{1}{1}$

Therefore, the simplest form of the given ratio is$AB:CD=1:1$. ### Want to see more solutions like these? 