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Q2.

Expert-verified

Geometry

Found in: Page 243

Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

ABCD is a parallelogram. Find the value of each ratio.
$A B : C D$

The simplest form of $A B : C D = 1 : 1$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

According to the given figure is,

In parallelogram, opposite sides are same in length.

$A B = C D$

$\begin{array}{l} A B = 15 \\ C D = 15 \end{array}$

Write the ratio,

$\begin{array}{l} A B : C D = 15 : 15 \\ \frac{A B}{C D} = \frac{15}{15} \end{array}$

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.

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

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

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 $A B : C D = 1 : 1$ .

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