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Algebra I: Strand 2. Linear Functions; Topic 8. Reflections; Task 2.8.3
TASK 2.8.3: REFLECTIONS ABOUT THE X-AXIS
Solutions
III: Reflect the figure ABCD about the x-axis to form A''B''C''D''.
1. What is the slope of the line segment A''B''? How does the slope of AB relate to the slope
of A''B''? 0; they have the same slope
2. What is the slope of the line segment B''C''? How does the slope of BC relate to the slope
of B''C''? –3; it is the opposite or the additive inverse
3. What is the slope of the line segment C''D''? How does the slope of CD relate to the slope
of C''D''? 2/3; it is the opposite or the additive inverse
4. What is the slope of the line segment A''D''? How does the slope of AD relate to the slope
of A''D''? undefined; both are undefined since they are vertical segments
November 16, 2004. Ensuring Teacher Quality: Algebra I, produced by the Charles A. Dana Center at The University of Texas at
Austin for the Texas Higher Education Coordinating Board.
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Algebra I: Strand 2. Linear Functions; Topic 8. Reflections; Task 2.8.3
TASK 2.8.3: REFLECTIONS ABOUT THE X-AXIS
III: Reflect the figure ABCD about the x-axis to form A''B''C''D''.
1.
2.
3.
4.
What is the slope of the line segment A''B''? How does the slope of AB relate to the slope
of A''B''?
What is the slope of the line segment B''C''? How does the slope of BC relate to the slope
of B''C''?
What is the slope of the line segment C''D''? How does the slope of CD relate to the slope
of C''D''?
What is the slope of the line segment A''D''? How does the slope of AD relate to the slope
of A''D''?
November 16, 2004. Ensuring Teacher Quality: Algebra I, produced by the Charles A. Dana Center at The University of Texas at
Austin for the Texas Higher Education Coordinating Board.