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

Copy everything shown and write a two-column proof.
Given: $m ∠ 1 = m ∠ 2;$
$m ∠ 3 = m ∠ 4;$
Prove: $m ∠ S R T = m ∠ S T R$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Apply the addition property of algebra.

If $a = b$ and $c = d$ , then $a + c = b + d$ .

$m ∠ 1 + m ∠ 3 = m ∠ 2 + m ∠ 4$

Step 2. Angle addition postulate.

From the given figure, it can be observed that some of $m ∠ 1$ and $m ∠ 3$ gives $m ∠ S R T$ , that is $m ∠ 2 + m ∠ 4 = m ∠ S T R$ .

From the given figure, it can be observed that some of $m ∠ 2$ and $m ∠ 4$ gives $m ∠ S T R$ , that is $m ∠ 2 + m ∠ 4 = m ∠ S T R$ .

Step 3. Apply substitution property.

Substitute $m ∠ S R T$ for $m ∠ 1 + m ∠ 3$ and $m ∠ S T R$ for $m ∠ 2 + m ∠ 4$ in step 1.

$\begin{matrix} m ∠ 1 + m ∠ 3 = m ∠ 2 + m ∠ 4 \\ m ∠ S R T = m ∠ S T R \end{matrix}$

Step 4. Write a two-column proof.

Write a two-column proof with the help of the above-mentioned steps.

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Geometry

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Short Answer

Copy everything shown and write a two-column proof.
Given: $m ∠ 1 = m ∠ 2;$
$m ∠ 3 = m ∠ 4;$
Prove: $m ∠ S R T = m ∠ S T R$

Step by Step Solution

Step 1. Apply the addition property of algebra.

Step 2. Angle addition postulate.

Step 3. Apply substitution property.

Step 4. Write a two-column proof.

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Copy everything shown and write a two-column proof.Given: m∠1=m∠2;m∠3=m∠4;Prove: m∠SRT=m∠STR

Step by Step Solution

Step 1. Apply the addition property of algebra.

Step 2. Angle addition postulate.

Step 3. Apply substitution property.

Step 4. Write a two-column proof.

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Copy everything shown and write a two-column proof.
Given: $m ∠ 1 = m ∠ 2;$
$m ∠ 3 = m ∠ 4;$
Prove: $m ∠ S R T = m ∠ S T R$