Homework Help is Here – Start Your Trial Now!
Math
Geometry
5- 3- B 24 -7 -6 -5 -4 -3 -2 1 2 D -2+ -3 -4 C -5- 4. 1.

5- 3- B 24 -7 -6 -5 -4 -3 -2 1 2 D -2+ -3 -4 C -5- 4. 1.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Topic Video
Question
### Reflection of Quadrilateral ABCD Across the x-axis In this exercise, you are required to plot the image of quadrilateral \(ABCD\) under a reflection across the \(x\)-axis. The initial quadrilateral \(ABCD\) is displayed on a coordinate plane with points \(A\), \(B\), \(C\), and \(D\) being clearly marked. #### Explanation of the Initial Quadrilateral 1. **Quadrilateral ABCD:** - \(A(2, 4)\) - \(B(-4, 3)\) - \(C(-3, -6)\) - \(D(0, -3)\) 2. **Coordinate Plane Description:** - The \(x\)-axis runs horizontally, and the \(y\)-axis runs vertically. - Both axes are labeled with positive and negative values, and a grid with a scale from -7 to 7 on both axes is provided to assist with plotting coordinates accurately. #### Reflection Process When reflecting a point across the \(x\)-axis, the \(x\)-coordinate remains the same, while the \(y\)-coordinate is multiplied by \(-1\). **Reflection of Points:** - Point \(A(2, 4)\) reflects to \(A'(2, -4)\) - Point \(B(-4, 3)\) reflects to \(B'(-4, -3)\) - Point \(C(-3, -6)\) reflects to \(C'(-3, 6)\) - Point \(D(0, -3)\) reflects to \(D'(0, 3)\) #### Graphical Representation The diagram on the coordinate plane showcases: 1. **Original Quadrilateral \(ABCD\):** - Is displayed in blue. - Points \(A\), \(B\), \(C\), and \(D\) plotted at their respective coordinates. 2. **Reflected Quadrilateral \(A'B'C'D'\):** - Would be displayed with its points mirrored across the \(x\)-axis. - Points \(A'\), \(B'\), \(C'\), and \(D'\) should be plotted at their new reflected coordinates. With all points plotted: - The shape and size of the quadrilateral ABCD will remain the same after reflection, but its orientation will be flipped across the \(x\)-
Transcribed Image Text:### Reflection of Quadrilateral ABCD Across the x-axis In this exercise, you are required to plot the image of quadrilateral \(ABCD\) under a reflection across the \(x\)-axis. The initial quadrilateral \(ABCD\) is displayed on a coordinate plane with points \(A\), \(B\), \(C\), and \(D\) being clearly marked. #### Explanation of the Initial Quadrilateral 1. **Quadrilateral ABCD:** - \(A(2, 4)\) - \(B(-4, 3)\) - \(C(-3, -6)\) - \(D(0, -3)\) 2. **Coordinate Plane Description:** - The \(x\)-axis runs horizontally, and the \(y\)-axis runs vertically. - Both axes are labeled with positive and negative values, and a grid with a scale from -7 to 7 on both axes is provided to assist with plotting coordinates accurately. #### Reflection Process When reflecting a point across the \(x\)-axis, the \(x\)-coordinate remains the same, while the \(y\)-coordinate is multiplied by \(-1\). **Reflection of Points:** - Point \(A(2, 4)\) reflects to \(A'(2, -4)\) - Point \(B(-4, 3)\) reflects to \(B'(-4, -3)\) - Point \(C(-3, -6)\) reflects to \(C'(-3, 6)\) - Point \(D(0, -3)\) reflects to \(D'(0, 3)\) #### Graphical Representation The diagram on the coordinate plane showcases: 1. **Original Quadrilateral \(ABCD\):** - Is displayed in blue. - Points \(A\), \(B\), \(C\), and \(D\) plotted at their respective coordinates. 2. **Reflected Quadrilateral \(A'B'C'D'\):** - Would be displayed with its points mirrored across the \(x\)-axis. - Points \(A'\), \(B'\), \(C'\), and \(D'\) should be plotted at their new reflected coordinates. With all points plotted: - The shape and size of the quadrilateral ABCD will remain the same after reflection, but its orientation will be flipped across the \(x\)-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS