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DO NOW 9.18.17 W ( , ) X ( , ) Y ( , ) Z ( , ) YES NO YES NO YES NO
LIST COORDINATES FOR TRAPEZOID WXYZ x y W ( , ) X ( , ) Y ( , ) Z ( , ) Define each term below using your own words: CONGRUENT: __________________________________________________________________________________________ SIMILAR: __________________________________________________________________________________________ Original figure has been transformed by rule shown: What is it asking me to do? What transformation is used? What are new coordinates? Is it Congruent? W’ ( , ) X’ ( , ) Y’ ( , ) Z’ ( , ) YES NO Label new figure as W’X’Y’Z’ W’’ ( , ) X’’ ( , ) Y’’ ( , ) Z’’ ( , ) YES NO Label new figure as W’’X’’Y’’Z’’ W’’’ ( , ) X’’’ ( , ) Y’’’ ( , ) Z’’’ ( , ) YES NO Label new figure as W’’’X’’’Y’’’Z’’’
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DO NOW LIST COORDINATES FOR TRAPEZOID WXYZ x y W ( , ) X ( , ) Y ( , ) Z ( , ) X’ Y’ W’ Z’ Define each term below using your own words: CONGRUENT: __________________________________________________________________________________________ SIMILAR: __________________________________________________________________________________________ The size and shape of a figure are preserved. The size changes, but the shape of a figure is preserved. Original figure has been transformed by rule shown: What is it asking me to do? What transformation is used? What are new coordinates? Is it Congruent? Move each coordinate 2 units left, and 1 unit up W’ ( , ) X’ ( , ) Y’ ( , ) Z’ ( , ) YES NO translation Label new figure as W’X’Y’Z’ Reverse the order of each ordered pair W’’ ( , ) X’’ ( , ) Y’’ ( , ) Z’’ ( , ) YES NO Label new figure as W’’X’’Y’’Z’’ Decrease the size of each ordered pair by scale factor of ½ W’’’ ( , ) X’’’ ( , ) Y’’’ ( , ) Z’’’ ( , ) YES NO Label new figure as W’’’X’’’Y’’’Z’’’
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DO NOW 90 o Z’’ LIST COORDINATES FOR TRAPEZOID WXYZ x y Y’’ W ( , ) X ( , ) Y ( , ) Z ( , ) W’’ X’’ Y’’ Z’’ X’’ W’ Define each term below using your own words: CONGRUENT: __________________________________________________________________________________________ SIMILAR: __________________________________________________________________________________________ The size and shape of a figure are preserved. The size changes, but the shape of a figure are preserved. Original figure has been transformed by rule shown: What is it asking me to do? What transformation is used? What are new coordinates? Is it Congruent? Move each coordinate 2 units left, and 1 unit up W’ ( , ) X’ ( , ) Y’ ( , ) Z’ ( , ) YES NO translation Label new figure as W’X’Y’Z’ Reverse the order of each ordered pair W’’ ( , ) X’’ ( , ) Y’’ ( , ) Z’’ ( , ) reflection or combination of a reflection / rotation 90 degrees clockwise around Point W. YES NO Label new figure as W’’X’’Y’’Z’’ Decrease the size of each ordered pair by scale factor of ½ W’’’ ( , ) X’’’ ( , ) Y’’’ ( , ) Z’’’ ( , ) YES NO Label new figure as W’’’X’’’Y’’’Z’’’
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DO NOW LIST COORDINATES FOR TRAPEZOID WXYZ x y W ( , ) X ( , ) Y ( , ) Z ( , ) X’’ Y’’ Define each term below using your own words: CONGRUENT: __________________________________________________________________________________________ SIMILAR: __________________________________________________________________________________________ W’’ Z’’ The size and shape of a figure are preserved. The size changes, but the shape of a figure are preserved. Original figure has been transformed by rule shown: What is it asking me to do? What transformation is used? What are new coordinates? Is it Congruent? Move each coordinate 2 units left, and 1 unit up W’ ( , ) X’ ( , ) Y’ ( , ) Z’ ( , ) YES NO translation Label new figure as W’X’Y’Z’ Reverse the order of each ordered pair reflection or combination of a reflection / rotation 90 degrees clockwise W’’ ( , ) X’’ ( , ) Y’’ ( , ) Z’’ ( , ) YES NO Label new figure as W’’X’’Y’’Z’’ Decrease the size of each ordered pair by scale factor of ½ W’’’ ( , ) X’’’ ( , ) Y’’’ ( , ) Z’’’ ( , ) dilation (reduction) YES NO Label new figure as W’’’X’’’Y’’’Z’’’
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B D E What is the difference between a point and a vertex?
Point D is listed as a vertex. Why? In order for point B and point E to become vertices (each as a single vertex), what would need to happen?
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Which angles appear to be the same measure?
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Two Parallel Lines and a Transversal
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Turn to Page S.63 Which angles Located on Line 1 appear to be the same measure? Which angles Located on Line 2 appear to be the same measure? Do the angles formed on Line 1 appear to be congruent or not congruent to those formed on Line 2?
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Turn to Page S.63 Using a sheet of copy paper, trace angle 1. Through a rotation, reflection, or translation, try to match it to another numbered angle. Using a sheet of copy paper, trace angle 2. Through a rotation, reflection, or translation, try to match it to another numbered angle. Using a sheet of copy paper, trace the blue and red lines that form angles 1,2,3, and 4. Using a translation and rotation, try to map your traced image to angles 5,6,7, and 8.
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What do all of these different angle relationships have in common?
All relationships show paired congruent angles.
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YOU WILL NEED TRANSPARANCY PAPER FOR PAGES S.64 and S.65
Turn to Page S.64
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Turn to Page S.64
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Turn to Page S.64
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