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High School Math Geometry Geometry, Student Edition

To find out the figure with the given vertices has line symmetry and/or rotational symmetry.

To find out the figure with the given vertices has line symmetry and/or rotational symmetry.

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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Question

Chapter 9.5, Problem 37PPS

To determine

To find out the figure with the given vertices has line symmetry and/or rotational symmetry.

Expert Solution & Answer

Answer to Problem 37PPS

Yes, Line symmetry and rotational symmetry.

Explanation of Solution

Given:

The given vertices are -

F(0,−4),G(−3,−2),H(−3,2),J(0,4),K(3,2),L(3,−2)

Calculation:

Let us plot the given vertices as follows-

Geometry, Student Edition, Chapter 9.5, Problem 37PPS

The vertices form a regular hexagon.

It has two line of symmetry each along the x-axis and y-axis.

The figure has rotational symmetry around the origin of order 2 and magnitude 180∘

Chapter 9.5, Problem 36PPS

Chapter 9.5, Problem 38PPS

Chapter 9 Solutions

Geometry, Student Edition

Ch. 9.1 - Prob. 1ACYP Ch. 9.1 - Prob. 1BCYP Ch. 9.1 - Prob. 1CCYP Ch. 9.1 - Prob. 2CYP Ch. 9.1 - Prob. 3ACYP Ch. 9.1 - Prob. 3BCYP Ch. 9.1 - Prob. 4ACYP Ch. 9.1 - Prob. 4BCYP Ch. 9.1 - Prob. 5CYP Ch. 9.1 - Prob. 1CYU

Ch. 9.1 - Prob. 2CYU Ch. 9.1 - Prob. 3CYU Ch. 9.1 - Prob. 4CYU Ch. 9.1 - Prob. 5CYU Ch. 9.1 - Prob. 6CYU Ch. 9.1 - Prob. 7CYU Ch. 9.1 - Prob. 8CYU Ch. 9.1 - Prob. 9CYU Ch. 9.1 - Prob. 10PPS Ch. 9.1 - Prob. 11PPS Ch. 9.1 - Prob. 12PPS Ch. 9.1 - Prob. 13PPS Ch. 9.1 - Prob. 14PPS Ch. 9.1 - Prob. 15PPS Ch. 9.1 - Prob. 16PPS Ch. 9.1 - Prob. 17PPS Ch. 9.1 - Prob. 18PPS Ch. 9.1 - Prob. 19PPS Ch. 9.1 - Prob. 20PPS Ch. 9.1 - Prob. 21PPS Ch. 9.1 - Prob. 22PPS Ch. 9.1 - Prob. 23PPS Ch. 9.1 - Prob. 24PPS Ch. 9.1 - Prob. 25PPS Ch. 9.1 - Prob. 26PPS Ch. 9.1 - Prob. 27PPS Ch. 9.1 - Prob. 28PPS Ch. 9.1 - Prob. 29PPS Ch. 9.1 - Prob. 30PPS Ch. 9.1 - Prob. 31PPS Ch. 9.1 - Prob. 32PPS Ch. 9.1 - Prob. 33PPS Ch. 9.1 - Prob. 34PPS Ch. 9.1 - Prob. 35PPS Ch. 9.1 - Prob. 36PPS Ch. 9.1 - Prob. 37PPS Ch. 9.1 - Prob. 38PPS Ch. 9.1 - Prob. 39PPS Ch. 9.1 - Prob. 40PPS Ch. 9.1 - Prob. 41PPS Ch. 9.1 - Prob. 42PPS Ch. 9.1 - Prob. 43PPS Ch. 9.1 - Prob. 44PPS Ch. 9.1 - Prob. 45HP Ch. 9.1 - Prob. 46HP Ch. 9.1 - Prob. 47HP Ch. 9.1 - Prob. 48HP Ch. 9.1 - Prob. 49HP Ch. 9.1 - Prob. 50HP Ch. 9.1 - Prob. 51HP Ch. 9.1 - Prob. 52STP Ch. 9.1 - Prob. 53STP Ch. 9.1 - Prob. 54STP Ch. 9.1 - Prob. 55STP Ch. 9.1 - Prob. 56SPR Ch. 9.1 - Prob. 57SPR Ch. 9.1 - Prob. 58SPR Ch. 9.1 - Prob. 59SPR Ch. 9.1 - Prob. 60SPR Ch. 9.1 - Prob. 61SPR Ch. 9.1 - Prob. 62SR Ch. 9.1 - Prob. 63SR Ch. 9.1 - Prob. 64SR Ch. 9.1 - Prob. 65SR Ch. 9.1 - Prob. 66SR Ch. 9.1 - Prob. 67SR Ch. 9.2 - Prob. 1ACYP Ch. 9.2 - Prob. 1BCYP Ch. 9.2 - Prob. 2ACYP Ch. 9.2 - Prob. 2BCYP Ch. 9.2 - Prob. 3CYP Ch. 9.2 - Prob. 1CYU Ch. 9.2 - Prob. 2CYU Ch. 9.2 - Prob. 3CYU Ch. 9.2 - Prob. 4CYU Ch. 9.2 - Prob. 5CYU Ch. 9.2 - Prob. 6CYU Ch. 9.2 - Prob. 7CYU Ch. 9.2 - Prob. 8PPS Ch. 9.2 - Prob. 9PPS Ch. 9.2 - Prob. 10PPS Ch. 9.2 - Prob. 11PPS Ch. 9.2 - Prob. 12PPS Ch. 9.2 - Prob. 13PPS Ch. 9.2 - Prob. 14PPS Ch. 9.2 - Prob. 15PPS Ch. 9.2 - Prob. 16PPS Ch. 9.2 - Prob. 17PPS Ch. 9.2 - Prob. 18PPS Ch. 9.2 - Prob. 19PPS Ch. 9.2 - Prob. 20PPS Ch. 9.2 - Prob. 21PPS Ch. 9.2 - Prob. 22PPS Ch. 9.2 - Prob. 23PPS Ch. 9.2 - Prob. 24PPS Ch. 9.2 - Prob. 25PPS Ch. 9.2 - Prob. 26PPS Ch. 9.2 - Prob. 27PPS Ch. 9.2 - Prob. 28PPS Ch. 9.2 - Prob. 29PPS Ch. 9.2 - Prob. 30HP Ch. 9.2 - Prob. 31HP Ch. 9.2 - Prob. 32HP Ch. 9.2 - Prob. 33HP Ch. 9.2 - Prob. 34HP Ch. 9.2 - Prob. 35STP Ch. 9.2 - Prob. 36STP Ch. 9.2 - Prob. 37STP Ch. 9.2 - Prob. 38STP Ch. 9.2 - Prob. 39SPR Ch. 9.2 - Prob. 40SPR Ch. 9.2 - Prob. 41SPR Ch. 9.2 - Prob. 42SPR Ch. 9.2 - Prob. 43SPR Ch. 9.2 - Prob. 44SPR Ch. 9.2 - Prob. 45SPR Ch. 9.2 - Prob. 46SPR Ch. 9.2 - Prob. 47SPR Ch. 9.2 - Prob. 48SPR Ch. 9.2 - Prob. 49SPR Ch. 9.2 - Prob. 50SPR Ch. 9.2 - Prob. 51SR Ch. 9.2 - Prob. 52SR Ch. 9.2 - Prob. 53SR Ch. 9.2 - Prob. 54SR Ch. 9.3 - Prob. 1ACYP Ch. 9.3 - Prob. 1BCYP Ch. 9.3 - Prob. 2CYP Ch. 9.3 - Prob. 3CYP Ch. 9.3 - Prob. 1CYU Ch. 9.3 - Prob. 2CYU Ch. 9.3 - Prob. 3CYU Ch. 9.3 - Prob. 4CYU Ch. 9.3 - Prob. 5PPS Ch. 9.3 - Prob. 6PPS Ch. 9.3 - Prob. 7PPS Ch. 9.3 - Prob. 8PPS Ch. 9.3 - Prob. 9PPS Ch. 9.3 - Prob. 10PPS Ch. 9.3 - Prob. 11PPS Ch. 9.3 - Prob. 12PPS Ch. 9.3 - Prob. 13PPS Ch. 9.3 - Prob. 14PPS Ch. 9.3 - Prob. 15PPS Ch. 9.3 - Prob. 16PPS Ch. 9.3 - Prob. 17PPS Ch. 9.3 - Prob. 18PPS Ch. 9.3 - Prob. 19PPS Ch. 9.3 - Prob. 20PPS Ch. 9.3 - Prob. 21PPS Ch. 9.3 - Prob. 22PPS Ch. 9.3 - Prob. 23PPS Ch. 9.3 - Prob. 24PPS Ch. 9.3 - Prob. 25PPS Ch. 9.3 - Prob. 26PPS Ch. 9.3 - Prob. 27PPS Ch. 9.3 - Prob. 28PPS Ch. 9.3 - Prob. 29PPS Ch. 9.3 - Prob. 30PPS Ch. 9.3 - Prob. 31PPS Ch. 9.3 - Prob. 32PPS Ch. 9.3 - Prob. 33PPS Ch. 9.3 - Prob. 34HP Ch. 9.3 - Prob. 35HP Ch. 9.3 - Prob. 36HP Ch. 9.3 - Prob. 37HP Ch. 9.3 - Prob. 38HP Ch. 9.3 - Prob. 39HP Ch. 9.3 - Prob. 40STP Ch. 9.3 - Prob. 41STP Ch. 9.3 - Prob. 42STP Ch. 9.3 - Prob. 43SPR Ch. 9.3 - Prob. 44SPR Ch. 9.3 - Prob. 45SPR Ch. 9.3 - Prob. 46SPR Ch. 9.3 - Prob. 47SR Ch. 9.3 - Prob. 48SR Ch. 9.3 - Prob. 49SR Ch. 9.4 - Prob. 1ACYP Ch. 9.4 - Prob. 1BCYP Ch. 9.4 - Prob. 2ACYP Ch. 9.4 - Prob. 2BCYP Ch. 9.4 - Prob. 3ACYP Ch. 9.4 - Prob. 3BCYP Ch. 9.4 - Prob. 4CYP Ch. 9.4 - Prob. 1CYU Ch. 9.4 - Prob. 2CYU Ch. 9.4 - Prob. 3CYU Ch. 9.4 - Prob. 4CYU Ch. 9.4 - Prob. 5CYU Ch. 9.4 - Prob. 6CYU Ch. 9.4 - Prob. 7PPS Ch. 9.4 - Prob. 8PPS Ch. 9.4 - Prob. 9PPS Ch. 9.4 - Prob. 10PPS Ch. 9.4 - Prob. 11PPS Ch. 9.4 - Prob. 12PPS Ch. 9.4 - Prob. 13PPS Ch. 9.4 - Prob. 14PPS Ch. 9.4 - Prob. 15PPS Ch. 9.4 - Prob. 16PPS Ch. 9.4 - Prob. 17PPS Ch. 9.4 - Prob. 18PPS Ch. 9.4 - Prob. 19PPS Ch. 9.4 - Prob. 20PPS Ch. 9.4 - Prob. 21PPS Ch. 9.4 - Prob. 22PPS Ch. 9.4 - Prob. 23PPS Ch. 9.4 - Prob. 24PPS Ch. 9.4 - Prob. 25PPS Ch. 9.4 - Prob. 26PPS Ch. 9.4 - Prob. 27PPS Ch. 9.4 - Prob. 28PPS Ch. 9.4 - Prob. 29PPS Ch. 9.4 - Prob. 30PPS Ch. 9.4 - Prob. 31PPS Ch. 9.4 - Prob. 32PPS Ch. 9.4 - Prob. 33PPS Ch. 9.4 - Prob. 34PPS Ch. 9.4 - Prob. 35PPS Ch. 9.4 - Prob. 36PPS Ch. 9.4 - Prob. 37PPS Ch. 9.4 - Prob. 38HP Ch. 9.4 - Prob. 39HP Ch. 9.4 - Prob. 40HP Ch. 9.4 - Prob. 41HP Ch. 9.4 - Prob. 42HP Ch. 9.4 - Prob. 43HP Ch. 9.4 - Prob. 44HP Ch. 9.4 - Prob. 45HP Ch. 9.4 - Prob. 46HP Ch. 9.4 - Prob. 47HP Ch. 9.4 - Prob. 48HP Ch. 9.4 - Prob. 49SPR Ch. 9.4 - Prob. 50SPR Ch. 9.4 - Prob. 51SPR Ch. 9.4 - Prob. 52SPR Ch. 9.4 - Prob. 53SPR Ch. 9.4 - Prob. 54SPR Ch. 9.4 - Prob. 55SR Ch. 9.4 - Prob. 56SR Ch. 9.4 - Prob. 57SR Ch. 9.5 - Prob. 1ACYP Ch. 9.5 - Prob. 1BCYP Ch. 9.5 - Prob. 1CCYP Ch. 9.5 - Prob. 2ACYP Ch. 9.5 - Prob. 2BCYP Ch. 9.5 - Prob. 2CCYP Ch. 9.5 - Prob. 3ACYP Ch. 9.5 - Prob. 3BCYP Ch. 9.5 - Prob. 3CCYP Ch. 9.5 - Prob. 3DCYP Ch. 9.5 - Prob. 1CYU Ch. 9.5 - Prob. 2CYU Ch. 9.5 - Prob. 3CYU Ch. 9.5 - Prob. 4CYU Ch. 9.5 - Prob. 5CYU Ch. 9.5 - Prob. 6CYU Ch. 9.5 - Prob. 7CYU Ch. 9.5 - Prob. 8CYU Ch. 9.5 - Prob. 9PPS Ch. 9.5 - Prob. 10PPS Ch. 9.5 - Prob. 11PPS Ch. 9.5 - Prob. 12PPS Ch. 9.5 - Prob. 13PPS Ch. 9.5 - Prob. 14PPS Ch. 9.5 - Prob. 15PPS Ch. 9.5 - Prob. 16PPS Ch. 9.5 - Prob. 17PPS Ch. 9.5 - Prob. 18PPS Ch. 9.5 - Prob. 19PPS Ch. 9.5 - Prob. 20PPS Ch. 9.5 - Prob. 21PPS Ch. 9.5 - Prob. 22PPS Ch. 9.5 - Prob. 23PPS Ch. 9.5 - Prob. 24PPS Ch. 9.5 - Prob. 25PPS Ch. 9.5 - Prob. 26PPS Ch. 9.5 - Prob. 27PPS Ch. 9.5 - Prob. 28PPS Ch. 9.5 - Prob. 29PPS Ch. 9.5 - Prob. 30PPS Ch. 9.5 - Prob. 31PPS Ch. 9.5 - Prob. 32PPS Ch. 9.5 - Prob. 33PPS Ch. 9.5 - Prob. 34PPS Ch. 9.5 - Prob. 35PPS Ch. 9.5 - Prob. 36PPS Ch. 9.5 - Prob. 37PPS Ch. 9.5 - Prob. 38PPS Ch. 9.5 - Prob. 39PPS Ch. 9.5 - Prob. 40PPS Ch. 9.5 - Prob. 41PPS Ch. 9.5 - Prob. 42PPS Ch. 9.5 - Prob. 43PPS Ch. 9.5 - Prob. 44PPS Ch. 9.5 - Prob. 45PPS Ch. 9.5 - Prob. 46HP Ch. 9.5 - Prob. 47HP Ch. 9.5 - Prob. 48HP Ch. 9.5 - Prob. 49HP Ch. 9.5 - Prob. 50HP Ch. 9.5 - Prob. 51STP Ch. 9.5 - Prob. 52STP Ch. 9.5 - Prob. 53STP Ch. 9.5 - Prob. 54STP Ch. 9.5 - Prob. 55SPR Ch. 9.5 - Prob. 56SPR Ch. 9.5 - Prob. 57SPR Ch. 9.5 - Prob. 58SPR Ch. 9.5 - Prob. 59SR Ch. 9.5 - Prob. 60SR Ch. 9.5 - Prob. 61SR Ch. 9.6 - Prob. 1ACYP Ch. 9.6 - Prob. 1BCYP Ch. 9.6 - Prob. 2CYP Ch. 9.6 - Prob. 3ACYP Ch. 9.6 - Prob. 3BCYP Ch. 9.6 - Prob. 1CYU Ch. 9.6 - Prob. 2CYU Ch. 9.6 - Prob. 3CYU Ch. 9.6 - Prob. 4CYU Ch. 9.6 - Prob. 5CYU Ch. 9.6 - Prob. 6CYU Ch. 9.6 - Prob. 7CYU Ch. 9.6 - Prob. 8CYU Ch. 9.6 - Prob. 9PPS Ch. 9.6 - Prob. 10PPS Ch. 9.6 - Prob. 11PPS Ch. 9.6 - Prob. 12PPS Ch. 9.6 - Prob. 13PPS Ch. 9.6 - Prob. 14PPS Ch. 9.6 - Prob. 15PPS Ch. 9.6 - Prob. 16PPS Ch. 9.6 - Prob. 17PPS Ch. 9.6 - Prob. 18PPS Ch. 9.6 - Prob. 19PPS Ch. 9.6 - Prob. 20PPS Ch. 9.6 - Prob. 21PPS Ch. 9.6 - Prob. 22PPS Ch. 9.6 - Prob. 23PPS Ch. 9.6 - Prob. 24PPS Ch. 9.6 - Prob. 25PPS Ch. 9.6 - Prob. 26PPS Ch. 9.6 - Prob. 27PPS Ch. 9.6 - Prob. 28PPS Ch. 9.6 - Prob. 29PPS Ch. 9.6 - Prob. 30PPS Ch. 9.6 - Prob. 31PPS Ch. 9.6 - Prob. 32PPS Ch. 9.6 - Prob. 33PPS Ch. 9.6 - Prob. 34PPS Ch. 9.6 - Prob. 35PPS Ch. 9.6 - Prob. 36PPS Ch. 9.6 - Prob. 37HP Ch. 9.6 - Prob. 38HP Ch. 9.6 - Prob. 39HP Ch. 9.6 - Prob. 40HP Ch. 9.6 - Prob. 41HP Ch. 9.6 - Prob. 42STP Ch. 9.6 - Prob. 43STP Ch. 9.6 - Prob. 44STP Ch. 9.6 - Prob. 45STP Ch. 9.6 - Prob. 46SPR Ch. 9.6 - Prob. 47SPR Ch. 9.6 - Prob. 48SPR Ch. 9.6 - Prob. 49SPR Ch. 9.6 - Prob. 50SPR Ch. 9.6 - Prob. 51SPR Ch. 9.6 - Prob. 52SR Ch. 9.6 - Prob. 53SR Ch. 9.6 - Prob. 54SR Ch. 9.6 - Prob. 55SR Ch. 9 - Prob. 1GRFC Ch. 9 - Prob. 2GRFC Ch. 9 - Prob. 3GRFC Ch. 9 - Prob. 4GRFC Ch. 9 - Prob. 5GRFC Ch. 9 - Prob. 6GRFC Ch. 9 - Prob. 7GRFC Ch. 9 - Prob. 8GRFC Ch. 9 - Prob. 1MCQ Ch. 9 - Prob. 2MCQ Ch. 9 - Prob. 3MCQ Ch. 9 - Prob. 4MCQ Ch. 9 - Prob. 5MCQ Ch. 9 - Prob. 6MCQ Ch. 9 - Prob. 7MCQ Ch. 9 - Prob. 8MCQ Ch. 9 - Prob. 9MCQ Ch. 9 - Prob. 10MCQ Ch. 9 - Prob. 11MCQ Ch. 9 - Prob. 12MCQ Ch. 9 - Prob. 13MCQ Ch. 9 - Prob. 14MCQ Ch. 9 - Prob. 15MCQ Ch. 9 - Prob. 1SGR Ch. 9 - Prob. 2SGR Ch. 9 - Prob. 3SGR Ch. 9 - Prob. 4SGR Ch. 9 - Prob. 5SGR Ch. 9 - Prob. 6SGR Ch. 9 - Prob. 7SGR Ch. 9 - Prob. 8SGR Ch. 9 - Prob. 9SGR Ch. 9 - Prob. 10SGR Ch. 9 - Prob. 11SGR Ch. 9 - Prob. 12SGR Ch. 9 - Prob. 13SGR Ch. 9 - Prob. 14SGR Ch. 9 - Prob. 15SGR Ch. 9 - Prob. 16SGR Ch. 9 - Prob. 17SGR Ch. 9 - Prob. 18SGR Ch. 9 - Prob. 19SGR Ch. 9 - Prob. 20SGR Ch. 9 - Prob. 21SGR Ch. 9 - Prob. 22SGR Ch. 9 - Prob. 23SGR Ch. 9 - Prob. 24SGR Ch. 9 - Prob. 25SGR Ch. 9 - Prob. 26SGR Ch. 9 - Prob. 27SGR Ch. 9 - Prob. 28SGR Ch. 9 - Prob. 29SGR Ch. 9 - Prob. 30SGR Ch. 9 - Prob. 31SGR Ch. 9 - Prob. 32SGR Ch. 9 - Prob. 33SGR Ch. 9 - Prob. 34SGR Ch. 9 - Prob. 1PT Ch. 9 - Prob. 2PT Ch. 9 - Prob. 3PT Ch. 9 - Prob. 4PT Ch. 9 - Prob. 5PT Ch. 9 - Prob. 6PT Ch. 9 - Prob. 7PT Ch. 9 - Prob. 8PT Ch. 9 - Prob. 9PT Ch. 9 - Prob. 10PT Ch. 9 - Prob. 11PT Ch. 9 - Prob. 12PT Ch. 9 - Prob. 13PT Ch. 9 - Prob. 14PT Ch. 9 - Prob. 15PT Ch. 9 - Prob. 1STP Ch. 9 - Prob. 2STP Ch. 9 - Prob. 3STP Ch. 9 - Prob. 4STP Ch. 9 - Prob. 5STP Ch. 9 - Prob. 6STP Ch. 9 - Prob. 7STP Ch. 9 - Prob. 8STP Ch. 9 - Prob. 9STP Ch. 9 - Prob. 10STP Ch. 9 - Prob. 11STP Ch. 9 - Prob. 12STP Ch. 9 - Prob. 13STP Ch. 9 - Prob. 14STP

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