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Q2.

Expert-verifiedFound in: Page 243

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 $AB:CD=1:1$

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,

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

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

Write the prime factors of numerator and denominator.

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

Here GCF is$3\times 5=15$.

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$AB:CD=1:1$.

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