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 supply missing statements and reasons.
Given: $F L = A T$
Prove: $F A = L T$
Proof:

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Apply the reflexive property of congruence.

By reflexive property, $L A = L A$ .

Step 2. Addition property of algebra.

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

Step 3. Description of step.

Use given information and step 1 and apply the addition property of algebra mentioned in step 2.

$F L + L A = A T + L A$

Step 4. Apply segment addition postulate.

From the given figure, it can be observed that some of $F L$ and $L A$ gives $F A$ and the sum of $L A$ and $A T$ gives $L T$ , that is,

$\begin{matrix} F L + L A = F A; \\ L A + A T = L T \end{matrix}$

Step 5. Substitution property.

Substitute $F A$ for $F L + L A$ and $L T$ for $L A + A T$ into step 3.

$\begin{matrix} F L + L A = A T + L A \\ F A = L T \end{matrix}$

Hence, it is proved that $F A = L T$ .

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Geometry

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Short Answer

Copy everything shown and supply missing statements and reasons.
Given: $F L = A T$
Prove: $F A = L T$
Proof:

Step by Step Solution

Step 1. Apply the reflexive property of congruence.

Step 2. Addition property of algebra.

Step 3. Description of step.

Step 4. Apply segment addition postulate.

Step 5. Substitution property.

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Copy everything shown and supply missing statements and reasons.Given: FL=ATProve: FA=LTProof:

Step by Step Solution

Step 1. Apply the reflexive property of congruence.

Step 2. Addition property of algebra.

Step 3. Description of step.

Step 4. Apply segment addition postulate.

Step 5. Substitution property.

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Copy everything shown and supply missing statements and reasons.
Given: $F L = A T$
Prove: $F A = L T$
Proof: