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

Suppose $Δ LXR ≅ Δ FNE$ . List six congruence that can be justified by the following reason: Corr. Parts of $≅ Δ$ are $≅$ .

Six congruence are:

$LX ≅ FN,XR ≅ NE,LR ≅ FE$ (Corresponding sides of the congruent triangle triangles are congruent).

role="math" localid="1638272678591" $∠ L ≅ ∠ F, ∠ X ≅ ∠ N, ∠ R ≅ ∠ E$ (Corresponding angles of the congruent triangle triangles are congruent).

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. State the definition of congruency.

Two figures or objects are congruent if they have the same shape and size.

Step 2. State the explanation.

It is given that corresponding parts of congruent triangles are congruent.

Corresponding parts means corresponding angles and corresponding sides of the congruent triangles.

As $Δ L X R ≅ Δ F N E$ , then,

$L X ≅ F N, X R ≅ N E, L R ≅ F E$ (Corresponding sides of the congruent triangle triangles are congruent).

$∠ L ≅ ∠ F, ∠ X ≅ ∠ N, ∠ R ≅ ∠ E$ (Corresponding sides of the congruent triangle triangles are congruent).

Step 3. State the conclusion.

Therefore, the six congruences are:

$L X ≅ F N, X R ≅ N E, L R ≅ F E$ (Corresponding sides of the congruent triangle triangles are congruent).

$∠ L ≅ ∠ F, ∠ X ≅ ∠ N, ∠ R ≅ ∠ E$ (Corresponding sides of the congruent triangle triangles are congruent).

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Geometry

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Short Answer

Suppose $Δ LXR ≅ Δ FNE$ . List six congruence that can be justified by the following reason: Corr. Parts of $≅ Δ$ are $≅$ .

Step by Step Solution

Step 1. State the definition of congruency.

Step 2. State the explanation.

Step 3. State the conclusion.

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Geometry

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Short Answer

Suppose ΔLXR≅ΔFNE. List six congruence that can be justified by the following reason: Corr. Parts of ≅Δ are ≅.

Step by Step Solution

Step 1. State the definition of congruency.

Step 2. State the explanation.

Step 3. State the conclusion.

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Suppose $Δ LXR ≅ Δ FNE$ . List six congruence that can be justified by the following reason: Corr. Parts of $≅ Δ$ are $≅$ .