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Algebra I: Strand 2. Linear Functions; Topic 8. Reflections; Task 2.8.4
TASK 2.8.4: REFLECTIONS ABOUT THE LINE Y = X
Solutions:
IV: Reflect the figure ABCD about the line y=x 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′′′? undefined; it is the reciprocal or inverse
2. What is the slope of the line segment B′′′C′′′? How does the slope of BC relate to the slope of
B′′′C′′′? 1/3; it is the reciprocal or 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′′′? -3/2; it is the reciprocal or 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′′′? 0; A slope of y/0 is undefined or no slope; a slope of 0/x is 0.
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 2.8.4
TASK 2.8.4: REFLECTIONS ABOUT THE LINE Y = X
IV: Reflect the figure ABCD about the line y=x 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''''?
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. What is the slope of the line segment C''''D''''? How does the slope of CD relate to the slope of
C''''D''''?
4. 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.