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High School Math Geometry Geometry, Student Edition

Find the fact that would be sufficient to prove that line d is parallel to X Z ¯ .

Find the fact that would be sufficient to prove that line d is parallel to X Z ¯ .

Geometry, Student Edition

Geometry, Student Edition

1st Edition

ISBN: 9780078884849

Author: McGraw-Hill, McGraw Hill

Publisher: Glencoe/McGraw-Hill School Pub Co

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Concept explainers

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which…

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Question

Chapter 3.5, Problem 44STP

To determine

Find the fact that would be sufficient to prove that line d is parallel to XZ¯ .

Expert Solution & Answer

Answer to Problem 44STP

Option B is correct.

Explanation of Solution

Given :

Geometry, Student Edition, Chapter 3.5, Problem 44STP

Formula Used:

Alternate Interior Angle Converse :

If two lines in a plane are cut by a transversal such that a pair of alternate interior angles is congruent , then the lines are parallel.

Calculation :

YZ¯ is the transversal intersecting the line d and segment YZ¯ .

∠3 and ∠Z are alternate interior angles . So, if ∠3≅∠Z , by Alternate Interior Angle Converse , d is parallel to XZ¯ .

So, correct option is B.

Chapter 3.5, Problem 43HP

Chapter 3.5, Problem 45STP

Chapter 3 Solutions

Geometry, Student Edition

Ch. 3.1 - Prob. 1ACYP Ch. 3.1 - Prob. 1BCYP Ch. 3.1 - Prob. 1CCYP Ch. 3.1 - Prob. 2ACYP Ch. 3.1 - Prob. 2BCYP Ch. 3.1 - Prob. 2CCYP Ch. 3.1 - Prob. 2DCYP Ch. 3.1 - Prob. 3ACYP Ch. 3.1 - Prob. 3BCYP Ch. 3.1 - Prob. 3CCYP

Ch. 3.1 - Prob. 3DCYP Ch. 3.1 - Prob. 1CYU Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13PPS Ch. 3.1 - Prob. 14PPS Ch. 3.1 - Prob. 15PPS Ch. 3.1 - Prob. 16PPS Ch. 3.1 - Prob. 17PPS Ch. 3.1 - Prob. 18PPS Ch. 3.1 - Prob. 19PPS Ch. 3.1 - Prob. 20PPS Ch. 3.1 - Prob. 21PPS Ch. 3.1 - Prob. 22PPS Ch. 3.1 - Prob. 23PPS Ch. 3.1 - Prob. 24PPS Ch. 3.1 - Prob. 25PPS Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42PPS Ch. 3.1 - Prob. 43PPS Ch. 3.1 - Prob. 44PPS Ch. 3.1 - Prob. 45PPS Ch. 3.1 - Prob. 46HP Ch. 3.1 - Prob. 47HP Ch. 3.1 - Prob. 48HP Ch. 3.1 - Prob. 49HP Ch. 3.1 - Prob. 50HP Ch. 3.1 - Prob. 51STP Ch. 3.1 - Prob. 52STP Ch. 3.1 - Prob. 53STP Ch. 3.1 - Prob. 54STP Ch. 3.1 - Prob. 55SPR Ch. 3.1 - Prob. 56SPR Ch. 3.1 - Prob. 57SPR Ch. 3.1 - Prob. 58SPR Ch. 3.1 - Prob. 59SPR Ch. 3.1 - Prob. 60SPR Ch. 3.1 - Prob. 61SR Ch. 3.1 - Prob. 62SR Ch. 3.1 - Prob. 63SR Ch. 3.2 - Prob. 1ACYP Ch. 3.2 - Prob. 1BCYP Ch. 3.2 - Prob. 1CCYP Ch. 3.2 - Prob. 2ACYP Ch. 3.2 - Prob. 2BCYP Ch. 3.2 - Prob. 3ACYP Ch. 3.2 - Prob. 3BCYP Ch. 3.2 - Prob. 1CYU Ch. 3.2 - Prob. 2CYU Ch. 3.2 - Prob. 3CYU Ch. 3.2 - Prob. 4CYU Ch. 3.2 - Prob. 5CYU Ch. 3.2 - Prob. 6CYU Ch. 3.2 - Prob. 7CYU Ch. 3.2 - Prob. 8CYU Ch. 3.2 - Prob. 9CYU Ch. 3.2 - Prob. 10CYU Ch. 3.2 - Prob. 11PPS Ch. 3.2 - Prob. 12PPS Ch. 3.2 - Prob. 13PPS Ch. 3.2 - Prob. 14PPS Ch. 3.2 - Prob. 15PPS Ch. 3.2 - Prob. 16PPS Ch. 3.2 - Prob. 17PPS Ch. 3.2 - Prob. 18PPS Ch. 3.2 - Prob. 19PPS Ch. 3.2 - Prob. 20PPS Ch. 3.2 - Prob. 21PPS Ch. 3.2 - Prob. 22PPS Ch. 3.2 - 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Prob. 4CYP Ch. 3.3 - Prob. 1CYU Ch. 3.3 - Prob. 2CYU Ch. 3.3 - Prob. 3CYU Ch. 3.3 - Prob. 4CYU Ch. 3.3 - Prob. 5CYU Ch. 3.3 - Prob. 6CYU Ch. 3.3 - Prob. 7CYU Ch. 3.3 - Prob. 8CYU Ch. 3.3 - Prob. 9CYU Ch. 3.3 - Prob. 10CYU Ch. 3.3 - Prob. 11CYU Ch. 3.3 - Prob. 12PPS Ch. 3.3 - Prob. 13PPS Ch. 3.3 - Prob. 14PPS Ch. 3.3 - Prob. 15PPS Ch. 3.3 - Prob. 16PPS Ch. 3.3 - Prob. 17PPS Ch. 3.3 - Prob. 18PPS Ch. 3.3 - Prob. 19PPS Ch. 3.3 - Prob. 20PPS Ch. 3.3 - Prob. 21PPS Ch. 3.3 - Prob. 22PPS Ch. 3.3 - Prob. 23PPS Ch. 3.3 - Prob. 24PPS Ch. 3.3 - Prob. 25PPS Ch. 3.3 - Prob. 26PPS Ch. 3.3 - Prob. 27PPS Ch. 3.3 - Prob. 28PPS Ch. 3.3 - Prob. 29PPS Ch. 3.3 - Prob. 30PPS Ch. 3.3 - Prob. 31PPS Ch. 3.3 - Prob. 32PPS Ch. 3.3 - Prob. 33PPS Ch. 3.3 - Prob. 34PPS Ch. 3.3 - Prob. 35PPS Ch. 3.3 - Prob. 36PPS Ch. 3.3 - Prob. 37PPS Ch. 3.3 - Prob. 38PPS Ch. 3.3 - Prob. 39PPS Ch. 3.3 - Prob. 40PPS Ch. 3.3 - Prob. 41PPS Ch. 3.3 - Prob. 42PPS Ch. 3.3 - Prob. 43PPS Ch. 3.3 - Prob. 44PPS Ch. 3.3 - Prob. 45PPS Ch. 3.3 - 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Prob. 12CYU Ch. 3.4 - Prob. 13PPS Ch. 3.4 - Prob. 14PPS Ch. 3.4 - Prob. 15PPS Ch. 3.4 - Prob. 16PPS Ch. 3.4 - Prob. 17PPS Ch. 3.4 - Prob. 18PPS Ch. 3.4 - Prob. 19PPS Ch. 3.4 - Prob. 20PPS Ch. 3.4 - Prob. 21PPS Ch. 3.4 - Prob. 22PPS Ch. 3.4 - Prob. 23PPS Ch. 3.4 - Prob. 24PPS Ch. 3.4 - Prob. 25PPS Ch. 3.4 - Prob. 26PPS Ch. 3.4 - Prob. 27PPS Ch. 3.4 - Prob. 28PPS Ch. 3.4 - Prob. 29PPS Ch. 3.4 - Prob. 30PPS Ch. 3.4 - Prob. 31PPS Ch. 3.4 - Prob. 32PPS Ch. 3.4 - Prob. 33PPS Ch. 3.4 - Prob. 34PPS Ch. 3.4 - Prob. 35PPS Ch. 3.4 - Prob. 36PPS Ch. 3.4 - Prob. 37PPS Ch. 3.4 - Prob. 38PPS Ch. 3.4 - Prob. 39PPS Ch. 3.4 - Prob. 40PPS Ch. 3.4 - Prob. 41PPS Ch. 3.4 - Prob. 42PPS Ch. 3.4 - Prob. 43PPS Ch. 3.4 - Prob. 44PPS Ch. 3.4 - Prob. 45PPS Ch. 3.4 - Prob. 46PPS Ch. 3.4 - Prob. 47PPS Ch. 3.4 - Prob. 48PPS Ch. 3.4 - Prob. 49PPS Ch. 3.4 - Prob. 50PPS Ch. 3.4 - Prob. 51PPS Ch. 3.4 - Prob. 52PPS Ch. 3.4 - Prob. 53PPS Ch. 3.4 - Prob. 54PPS Ch. 3.4 - Prob. 55HP Ch. 3.4 - Prob. 56HP Ch. 3.4 - Prob. 57HP Ch. 3.4 - Prob. 58HP Ch. 3.4 - Prob. 59HP Ch. 3.4 - Prob. 60STP Ch. 3.4 - Prob. 61STP Ch. 3.4 - Prob. 62STP Ch. 3.4 - Prob. 63STP Ch. 3.4 - Prob. 64SPR Ch. 3.4 - Prob. 65SPR Ch. 3.4 - Prob. 66SPR Ch. 3.4 - Prob. 67SPR Ch. 3.4 - Prob. 68SPR Ch. 3.4 - Prob. 69SPR Ch. 3.4 - Prob. 70SR Ch. 3.4 - Prob. 71SR Ch. 3.4 - Prob. 72SR Ch. 3.4 - Prob. 73SR Ch. 3.5 - Prob. 1ACYP Ch. 3.5 - Prob. 1BCYP Ch. 3.5 - Prob. 1CCYP Ch. 3.5 - Prob. 1DCYP Ch. 3.5 - Prob. 1ECYP Ch. 3.5 - Prob. 1FCYP Ch. 3.5 - Prob. 2CYP Ch. 3.5 - Prob. 3CYP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8PPS Ch. 3.5 - Prob. 9PPS Ch. 3.5 - Prob. 10PPS Ch. 3.5 - Prob. 11PPS Ch. 3.5 - Prob. 12PPS Ch. 3.5 - Prob. 13PPS Ch. 3.5 - Prob. 14PPS Ch. 3.5 - Prob. 15PPS Ch. 3.5 - Prob. 16PPS Ch. 3.5 - Prob. 17PPS Ch. 3.5 - Prob. 18PPS Ch. 3.5 - Prob. 19PPS Ch. 3.5 - Prob. 20PPS Ch. 3.5 - Prob. 21PPS Ch. 3.5 - Prob. 22PPS Ch. 3.5 - Prob. 23PPS Ch. 3.5 - Prob. 24PPS Ch. 3.5 - Prob. 25PPS Ch. 3.5 - Prob. 26PPS Ch. 3.5 - Prob. 27PPS Ch. 3.5 - Prob. 28PPS Ch. 3.5 - Prob. 29PPS Ch. 3.5 - Prob. 30PPS Ch. 3.5 - Prob. 31PPS Ch. 3.5 - Prob. 32PPS Ch. 3.5 - Prob. 33PPS Ch. 3.5 - Prob. 34PPS Ch. 3.5 - Prob. 35PPS Ch. 3.5 - Prob. 36PPS Ch. 3.5 - Prob. 37HP Ch. 3.5 - Prob. 38HP Ch. 3.5 - Prob. 39HP Ch. 3.5 - Prob. 40HP Ch. 3.5 - Prob. 41HP Ch. 3.5 - Prob. 42HP Ch. 3.5 - Prob. 43HP Ch. 3.5 - Prob. 44STP Ch. 3.5 - Prob. 45STP Ch. 3.5 - Prob. 46STP Ch. 3.5 - Prob. 47STP Ch. 3.5 - Prob. 48SPR Ch. 3.5 - Prob. 49SPR Ch. 3.5 - Prob. 50SPR Ch. 3.5 - Prob. 51SPR Ch. 3.5 - Prob. 52SPR Ch. 3.5 - Prob. 53SPR Ch. 3.5 - Prob. 54SPR Ch. 3.5 - Prob. 55SPR Ch. 3.5 - Prob. 56SPR Ch. 3.5 - Prob. 57SR Ch. 3.6 - Prob. 1CYP Ch. 3.6 - Prob. 2CYP Ch. 3.6 - Prob. 3ACYP Ch. 3.6 - Prob. 3BCYP Ch. 3.6 - Prob. 1CYU Ch. 3.6 - Prob. 2CYU Ch. 3.6 - Prob. 3CYU Ch. 3.6 - Prob. 4CYU Ch. 3.6 - Prob. 5CYU Ch. 3.6 - Prob. 6CYU Ch. 3.6 - Prob. 7CYU Ch. 3.6 - Prob. 8CYU Ch. 3.6 - Prob. 9PPS Ch. 3.6 - Prob. 10PPS Ch. 3.6 - Prob. 11PPS Ch. 3.6 - Prob. 12PPS Ch. 3.6 - Prob. 13PPS Ch. 3.6 - Prob. 14PPS Ch. 3.6 - Prob. 15PPS Ch. 3.6 - Prob. 16PPS Ch. 3.6 - Prob. 17PPS Ch. 3.6 - Prob. 18PPS Ch. 3.6 - Prob. 19PPS Ch. 3.6 - Prob. 20PPS Ch. 3.6 - Prob. 21PPS Ch. 3.6 - Prob. 22PPS Ch. 3.6 - Prob. 23PPS Ch. 3.6 - Prob. 24PPS Ch. 3.6 - Prob. 25PPS Ch. 3.6 - Prob. 26PPS Ch. 3.6 - Prob. 27PPS Ch. 3.6 - Prob. 28PPS Ch. 3.6 - Prob. 29PPS Ch. 3.6 - Prob. 30PPS Ch. 3.6 - Prob. 31PPS Ch. 3.6 - Prob. 32PPS Ch. 3.6 - Prob. 33PPS Ch. 3.6 - Prob. 34PPS Ch. 3.6 - Prob. 35PPS Ch. 3.6 - Prob. 36PPS Ch. 3.6 - Prob. 37PPS Ch. 3.6 - Prob. 38PPS Ch. 3.6 - Prob. 39PPS Ch. 3.6 - Prob. 40PPS Ch. 3.6 - Prob. 41HP Ch. 3.6 - Prob. 42HP Ch. 3.6 - Prob. 43HP Ch. 3.6 - Prob. 44HP Ch. 3.6 - Prob. 45HP Ch. 3.6 - Prob. 46HP Ch. 3.6 - Prob. 47HP Ch. 3.6 - Prob. 48STP Ch. 3.6 - Prob. 49STP Ch. 3.6 - Prob. 50STP Ch. 3.6 - Prob. 51STP Ch. 3.6 - Prob. 52SPR Ch. 3.6 - Prob. 53SPR Ch. 3.6 - Prob. 54SPR Ch. 3.6 - Prob. 55SPR Ch. 3.6 - Prob. 56SPR Ch. 3.6 - Prob. 57SPR Ch. 3.6 - Prob. 58SPR Ch. 3.6 - Prob. 59SPR Ch. 3.6 - Prob. 60SR Ch. 3.6 - Prob. 61SR Ch. 3.6 - Prob. 62SR Ch. 3.6 - Prob. 63SR Ch. 3.6 - Prob. 64SR Ch. 3.6 - Prob. 65SR Ch. 3 - Prob. 1GRFC Ch. 3 - Prob. 2GRFC Ch. 3 - Prob. 3GRFC Ch. 3 - Prob. 4GRFC Ch. 3 - Prob. 5GRFC Ch. 3 - Prob. 6GRFC Ch. 3 - Prob. 7GRFC Ch. 3 - Prob. 8GRFC Ch. 3 - Prob. 9GRFC Ch. 3 - Prob. 10GRFC Ch. 3 - Prob. 11GRFC Ch. 3 - Prob. 12GRFC Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - Prob. 5MCQ Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Prob. 8MCQ Ch. 3 - Prob. 9MCQ Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - Prob. 12MCQ Ch. 3 - Prob. 13MCQ Ch. 3 - Prob. 14MCQ Ch. 3 - Prob. 15MCQ Ch. 3 - Prob. 16MCQ Ch. 3 - Prob. 17MCQ Ch. 3 - Prob. 18MCQ Ch. 3 - Prob. 19MCQ Ch. 3 - Prob. 20MCQ Ch. 3 - Prob. 1SGR Ch. 3 - Prob. 2SGR Ch. 3 - Prob. 3SGR Ch. 3 - Prob. 4SGR Ch. 3 - Prob. 5SGR Ch. 3 - Prob. 6SGR Ch. 3 - Prob. 7SGR Ch. 3 - Prob. 8SGR Ch. 3 - Prob. 9SGR Ch. 3 - 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