Explanation Given Information: In the figure shown, H Y ¯ ≅ L Y ¯ and W H ¯ is parallel to L F ¯ . Calculation: Using two-column proof. Statement Reasons H Y ¯ = L Y ¯ Given ∠ H Y L = ∠ F Y L Vertical angles are equal ∠ H = ∠ L Alternate interior angles Δ W H Y ≅ Δ F L Y By ASA Postulate Therefore, Δ W H Y ≅ Δ F L Y has been proved.

McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Chapter 4.2, Problem 10CE

To determine

To Prove: ΔWHY≅ΔFLY .

Expert Solution & Answer

Explanation of Solution

Given Information: In the figure shown, HY¯≅LY¯ and WH¯ is parallel to LF¯ .

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 4.2, Problem 10CE

Calculation:

Using two-column proof.

Statement	Reasons
HY¯=LY¯	Given
∠HYL=∠FYL	Vertical angles are equal
∠H=∠L	Alternate interior angles
ΔWHY≅ΔFLY	By ASA Postulate

Therefore, ΔWHY≅ΔFLY has been proved.

Chapter 4.2, Problem 9CE

Chapter 4.2, Problem 11CE

Chapter 4 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 4.1 - Prob. 1CE Ch. 4.1 - Prob. 2CE Ch. 4.1 - Prob. 3CE Ch. 4.1 - Prob. 4CE Ch. 4.1 - Prob. 5CE Ch. 4.1 - Prob. 6CE Ch. 4.1 - Prob. 7CE Ch. 4.1 - Prob. 8CE Ch. 4.1 - Prob. 9CE Ch. 4.1 - Prob. 10CE

Ch. 4.1 - Prob. 11CE Ch. 4.1 - Prob. 12CE Ch. 4.1 - Prob. 13CE Ch. 4.1 - Prob. 14CE Ch. 4.1 - Prob. 15CE Ch. 4.1 - Prob. 16CE Ch. 4.1 - Prob. 17CE Ch. 4.1 - Prob. 18CE Ch. 4.1 - Prob. 19CE Ch. 4.1 - Prob. 20CE Ch. 4.1 - Prob. 1WE Ch. 4.1 - Prob. 2WE Ch. 4.1 - Prob. 3WE Ch. 4.1 - Prob. 4WE Ch. 4.1 - Prob. 5WE Ch. 4.1 - Prob. 6WE Ch. 4.1 - Prob. 7WE Ch. 4.1 - Prob. 8WE Ch. 4.1 - Prob. 9WE Ch. 4.1 - Prob. 10WE Ch. 4.1 - Prob. 11WE Ch. 4.1 - Prob. 12WE Ch. 4.1 - Prob. 13WE Ch. 4.1 - Prob. 14WE Ch. 4.1 - Prob. 15WE Ch. 4.1 - Prob. 16WE Ch. 4.1 - Prob. 17WE Ch. 4.1 - Prob. 18WE Ch. 4.1 - Prob. 19WE Ch. 4.1 - Prob. 20WE Ch. 4.1 - Prob. 21WE Ch. 4.1 - Prob. 22WE Ch. 4.1 - Prob. 23WE Ch. 4.1 - Prob. 24WE Ch. 4.1 - Prob. 1MRE Ch. 4.1 - Prob. 2MRE Ch. 4.2 - Prob. 1CE Ch. 4.2 - Prob. 2CE Ch. 4.2 - Prob. 3CE Ch. 4.2 - Prob. 4CE Ch. 4.2 - Prob. 5CE Ch. 4.2 - Prob. 6CE Ch. 4.2 - Prob. 7CE Ch. 4.2 - Prob. 8CE Ch. 4.2 - Prob. 9CE Ch. 4.2 - Prob. 10CE Ch. 4.2 - Prob. 11CE Ch. 4.2 - Prob. 1WE Ch. 4.2 - Prob. 2WE Ch. 4.2 - Prob. 3WE Ch. 4.2 - Prob. 4WE Ch. 4.2 - Prob. 5WE Ch. 4.2 - Prob. 6WE Ch. 4.2 - Prob. 7WE Ch. 4.2 - Prob. 8WE Ch. 4.2 - Prob. 9WE Ch. 4.2 - Prob. 10WE Ch. 4.2 - Prob. 11WE Ch. 4.2 - Prob. 12WE Ch. 4.2 - Prob. 13WE Ch. 4.2 - Prob. 14WE Ch. 4.2 - Prob. 15WE Ch. 4.2 - Prob. 16WE Ch. 4.2 - Prob. 17WE Ch. 4.2 - Prob. 18WE Ch. 4.2 - Prob. 19WE Ch. 4.2 - Prob. 20WE Ch. 4.2 - Prob. 21WE Ch. 4.2 - Prob. 22WE Ch. 4.2 - Prob. 23WE Ch. 4.2 - Prob. 24WE Ch. 4.2 - Prob. 25WE Ch. 4.2 - Prob. 26WE Ch. 4.2 - Prob. 27WE Ch. 4.3 - Prob. 1CE Ch. 4.3 - Prob. 2CE Ch. 4.3 - Prob. 3CE Ch. 4.3 - Prob. 4CE Ch. 4.3 - Prob. 5CE Ch. 4.3 - Prob. 6CE Ch. 4.3 - Prob. 1WE Ch. 4.3 - Prob. 2WE Ch. 4.3 - Prob. 3WE Ch. 4.3 - Prob. 4WE Ch. 4.3 - Prob. 5WE Ch. 4.3 - Prob. 6WE Ch. 4.3 - Prob. 7WE Ch. 4.3 - Prob. 8WE Ch. 4.3 - Prob. 9WE Ch. 4.3 - Prob. 10WE Ch. 4.3 - Prob. 11WE Ch. 4.3 - Prob. 12WE Ch. 4.3 - Prob. 13WE Ch. 4.3 - Prob. 14WE Ch. 4.3 - Prob. 15WE Ch. 4.3 - Prob. 16WE Ch. 4.3 - Prob. 1ST1 Ch. 4.3 - Prob. 2ST1 Ch. 4.3 - Prob. 3ST1 Ch. 4.3 - Prob. 4ST1 Ch. 4.3 - Prob. 5ST1 Ch. 4.3 - Prob. 6ST1 Ch. 4.3 - Prob. 7ST1 Ch. 4.3 - Prob. 8ST1 Ch. 4.4 - Prob. 1CE Ch. 4.4 - Prob. 2CE Ch. 4.4 - Prob. 3CE Ch. 4.4 - Prob. 4CE Ch. 4.4 - Prob. 5CE Ch. 4.4 - Prob. 6CE Ch. 4.4 - Prob. 7CE Ch. 4.4 - Prob. 8CE Ch. 4.4 - Prob. 9CE Ch. 4.4 - Prob. 10CE Ch. 4.4 - Prob. 11CE Ch. 4.4 - Prob. 12CE Ch. 4.4 - Prob. 1WE Ch. 4.4 - Prob. 2WE Ch. 4.4 - Prob. 3WE Ch. 4.4 - Prob. 4WE Ch. 4.4 - Prob. 5WE Ch. 4.4 - Prob. 6WE Ch. 4.4 - Prob. 7WE Ch. 4.4 - Prob. 8WE Ch. 4.4 - Prob. 9WE Ch. 4.4 - Prob. 10WE Ch. 4.4 - Prob. 11WE Ch. 4.4 - Prob. 12WE Ch. 4.4 - Prob. 13WE Ch. 4.4 - Prob. 14WE Ch. 4.4 - Prob. 15WE Ch. 4.4 - Prob. 16WE Ch. 4.4 - Prob. 17WE Ch. 4.4 - Prob. 18WE Ch. 4.4 - Prob. 19WE Ch. 4.4 - Prob. 20WE Ch. 4.4 - Prob. 21WE Ch. 4.4 - Prob. 22WE Ch. 4.4 - Prob. 23WE Ch. 4.4 - Prob. 24WE Ch. 4.4 - Prob. 25WE Ch. 4.4 - Prob. 26WE Ch. 4.4 - Prob. 27WE Ch. 4.4 - Prob. 28WE Ch. 4.4 - Prob. 29WE Ch. 4.4 - Prob. 30WE Ch. 4.4 - Prob. 31WE Ch. 4.4 - Prob. 32WE Ch. 4.4 - Prob. 33WE Ch. 4.4 - Prob. 34WE Ch. 4.5 - Prob. 1CE Ch. 4.5 - Prob. 2CE Ch. 4.5 - Prob. 3CE Ch. 4.5 - Prob. 4CE Ch. 4.5 - Prob. 5CE Ch. 4.5 - Prob. 6CE Ch. 4.5 - Prob. 7CE Ch. 4.5 - Prob. 8CE Ch. 4.5 - Prob. 9CE Ch. 4.5 - Prob. 10CE Ch. 4.5 - Prob. 11CE Ch. 4.5 - Prob. 12CE Ch. 4.5 - Prob. 13CE Ch. 4.5 - Prob. 14CE Ch. 4.5 - Prob. 1WE Ch. 4.5 - Prob. 2WE Ch. 4.5 - Prob. 3WE Ch. 4.5 - Prob. 4WE Ch. 4.5 - Prob. 5WE Ch. 4.5 - Prob. 6WE Ch. 4.5 - Prob. 7WE Ch. 4.5 - Prob. 8WE Ch. 4.5 - Prob. 9WE Ch. 4.5 - Prob. 10WE Ch. 4.5 - Prob. 11WE Ch. 4.5 - Prob. 12WE Ch. 4.5 - Prob. 13WE Ch. 4.5 - Prob. 14WE Ch. 4.5 - Prob. 15WE Ch. 4.5 - Prob. 16WE Ch. 4.5 - Prob. 17WE Ch. 4.5 - Prob. 18WE Ch. 4.5 - Prob. 19WE Ch. 4.5 - Prob. 20WE Ch. 4.5 - Prob. 21WE Ch. 4.5 - Prob. 22WE Ch. 4.5 - Prob. 1ST2 Ch. 4.5 - Prob. 2ST2 Ch. 4.5 - Prob. 3ST2 Ch. 4.5 - Prob. 4ST2 Ch. 4.5 - Prob. 5ST2 Ch. 4.6 - Prob. 1CE Ch. 4.6 - Prob. 2CE Ch. 4.6 - Prob. 3CE Ch. 4.6 - Prob. 4CE Ch. 4.6 - Prob. 1WE Ch. 4.6 - Prob. 2WE Ch. 4.6 - Prob. 3WE Ch. 4.6 - Prob. 4WE Ch. 4.6 - Prob. 5WE Ch. 4.6 - Prob. 6WE Ch. 4.6 - Prob. 7WE Ch. 4.6 - Prob. 8WE Ch. 4.6 - Prob. 9WE Ch. 4.6 - Prob. 10WE Ch. 4.6 - Prob. 11WE Ch. 4.6 - Prob. 12WE Ch. 4.6 - Prob. 13WE Ch. 4.6 - Prob. 14WE Ch. 4.6 - Prob. 15WE Ch. 4.6 - Prob. 16WE Ch. 4.6 - Prob. 17WE Ch. 4.6 - Prob. 1MRE Ch. 4.6 - Prob. 2MRE Ch. 4.6 - Prob. 3MRE Ch. 4.6 - Prob. 4MRE Ch. 4.6 - Prob. 5MRE Ch. 4.6 - Prob. 6MRE Ch. 4.6 - Prob. 7MRE Ch. 4.6 - Prob. 8MRE Ch. 4.6 - Prob. 9MRE Ch. 4.6 - Prob. 10MRE Ch. 4.6 - Prob. 11MRE Ch. 4.7 - Prob. 1CE Ch. 4.7 - Prob. 2CE Ch. 4.7 - Prob. 3CE Ch. 4.7 - Prob. 4CE Ch. 4.7 - Prob. 5CE Ch. 4.7 - Prob. 6CE Ch. 4.7 - Prob. 7CE Ch. 4.7 - Prob. 8CE Ch. 4.7 - Prob. 9CE Ch. 4.7 - Prob. 10CE Ch. 4.7 - Prob. 11CE Ch. 4.7 - Prob. 1WE Ch. 4.7 - Prob. 2WE Ch. 4.7 - Prob. 3WE Ch. 4.7 - Prob. 4WE Ch. 4.7 - Prob. 5WE Ch. 4.7 - Prob. 6WE Ch. 4.7 - Prob. 7WE Ch. 4.7 - Prob. 8WE Ch. 4.7 - Prob. 9WE Ch. 4.7 - Prob. 10WE Ch. 4.7 - Prob. 11WE Ch. 4.7 - Prob. 12WE Ch. 4.7 - Prob. 13WE Ch. 4.7 - Prob. 14WE Ch. 4.7 - Prob. 15WE Ch. 4.7 - Prob. 16WE Ch. 4.7 - Prob. 17WE Ch. 4.7 - Prob. 18WE Ch. 4.7 - Prob. 19WE Ch. 4.7 - Prob. 20WE Ch. 4.7 - Prob. 21WE Ch. 4.7 - Prob. 22WE Ch. 4.7 - Prob. 23WE Ch. 4.7 - Prob. 24WE Ch. 4.7 - Prob. 25WE Ch. 4.7 - Prob. 26WE Ch. 4.7 - Prob. 27WE Ch. 4.7 - Prob. 28WE Ch. 4.7 - Prob. 29WE Ch. 4.7 - Prob. 1ST3 Ch. 4.7 - Prob. 2ST3 Ch. 4.7 - Prob. 3ST3 Ch. 4.7 - Prob. 4ST3 Ch. 4.7 - Prob. 5ST3 Ch. 4.7 - Prob. 6ST3 Ch. 4 - Prob. 1CR Ch. 4 - Prob. 2CR Ch. 4 - Prob. 3CR Ch. 4 - Prob. 4CR Ch. 4 - Prob. 5CR Ch. 4 - Prob. 6CR Ch. 4 - Prob. 7CR Ch. 4 - Prob. 8CR Ch. 4 - Prob. 9CR Ch. 4 - Prob. 10CR Ch. 4 - Prob. 11CR Ch. 4 - Prob. 12CR Ch. 4 - Prob. 13CR Ch. 4 - Prob. 14CR Ch. 4 - Prob. 15CR Ch. 4 - Prob. 16CR Ch. 4 - Prob. 17CR Ch. 4 - Prob. 18CR Ch. 4 - Prob. 19CR Ch. 4 - Prob. 20CR Ch. 4 - Prob. 1CT Ch. 4 - Prob. 2CT Ch. 4 - Prob. 3CT Ch. 4 - Prob. 4CT Ch. 4 - Prob. 5CT Ch. 4 - Prob. 6CT Ch. 4 - Prob. 7CT Ch. 4 - Prob. 8CT Ch. 4 - Prob. 9CT Ch. 4 - Prob. 10CT Ch. 4 - Prob. 11CT Ch. 4 - Prob. 12CT Ch. 4 - Prob. 13CT Ch. 4 - Prob. 14CT Ch. 4 - Prob. 15CT Ch. 4 - Prob. 16CT Ch. 4 - Prob. 17CT Ch. 4 - Prob. 18CT Ch. 4 - Prob. 19CT Ch. 4 - Prob. 20CT Ch. 4 - Prob. 1AR Ch. 4 - Prob. 2AR Ch. 4 - Prob. 3AR Ch. 4 - Prob. 4AR Ch. 4 - Prob. 5AR Ch. 4 - Prob. 6AR Ch. 4 - Prob. 7AR Ch. 4 - Prob. 8AR Ch. 4 - Prob. 9AR Ch. 4 - Prob. 10AR Ch. 4 - Prob. 11AR Ch. 4 - Prob. 12AR Ch. 4 - Prob. 13AR Ch. 4 - Prob. 14AR Ch. 4 - Prob. 15AR Ch. 4 - Prob. 16AR Ch. 4 - Prob. 17AR Ch. 4 - Prob. 18AR Ch. 4 - Prob. 19AR Ch. 4 - Prob. 20AR Ch. 4 - Prob. 21AR Ch. 4 - Prob. 22AR Ch. 4 - Prob. 23AR Ch. 4 - Prob. 24AR Ch. 4 - Prob. 25AR Ch. 4 - Prob. 26AR Ch. 4 - Prob. 27AR Ch. 4 - Prob. 28AR Ch. 4 - Prob. 29AR Ch. 4 - Prob. 30AR Ch. 4 - Prob. 31AR Ch. 4 - Prob. 32AR Ch. 4 - Prob. 33AR Ch. 4 - Prob. 1CUR Ch. 4 - Prob. 2CUR Ch. 4 - Prob. 3CUR Ch. 4 - Prob. 4CUR Ch. 4 - Prob. 5CUR Ch. 4 - Prob. 6CUR Ch. 4 - Prob. 7CUR Ch. 4 - Prob. 8CUR Ch. 4 - Prob. 9CUR Ch. 4 - 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To Prove : Δ W H Y ≅ Δ F L Y .