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Q9.

Expert-verified
Geometry
Found in: Page 120
Geometry

Geometry

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 ΔLXRΔFNE. List six congruence that can be justified by the following reason: Corr. Parts of Δ are .

Six congruence are:

LXFN,XRNE,LRFE (Corresponding sides of the congruent triangle triangles are congruent).

role="math" localid="1638272678591" LF,XN,RE (Corresponding angles of the congruent triangle triangles are congruent).

See the step by step solution

Step by Step Solution

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 ΔLXRΔFNE, then,

LXFN,XRNE,LRFE (Corresponding sides of the congruent triangle triangles are congruent).

LF,XN,RE (Corresponding sides of the congruent triangle triangles are congruent).

Step 3. State the conclusion.

Therefore, the six congruences are:

LXFN,XRNE,LRFE (Corresponding sides of the congruent triangle triangles are congruent).

LF,XN,RE (Corresponding sides of the congruent triangle triangles are congruent).

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