Course Graphing Reflections Check 12-3 HW

Course Graphing Reflections 6 th Grade Math HOMEWORK None

Course Tables and Functions Our Learning Goal Students will understand functions by creating tables and graphing translations.

Course Tables and Functions Students will understand functions by creating tables and graphing translations. Learn to use data in a table to write an equation for a function and to use the equation to find a missing value. Learn to represent linear functions using ordered pairs and graphs. Learn to use translations to change the positions of figures on a coordinate plane. Learn to use reflections to change the positions of figures on a coordinate plane. Learn to use rotations to change positions of figures on a coordinate plane. Learn to visualize and show the results of stretching or shrinking a figure.

Today’s Learning Goal Assignment Learn to use reflections to change the positions of figures on a coordinate plane. Course Graphing Reflections

12-4 Graphing Reflections Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up A parallelogram has vertices (-4, 1), (0, 1), (-3, 4), and (1, 4). What are its vertices after it has been translated 4 units right and 3 units up? (0, 4), (4, 4), (1, 7), (5, 7) Course Graphing Reflections

Problem of the Day These are rits: 24042, 383, and These are not rits: 39239, 28, and Which of these are rits: 39883, 4040, and 101? Why? 101 is a rit because it is the same forward and backward. Course Graphing Reflections

y x Additional Example 1: Reflecting Figures on a Coordinate Plane Give the coordinates of the figure after the given reflection. Reflect parallelogram EFGH across the y-axis. EF GH Course Graphing Reflections

Additional Example 1 Continued To reflect the parallelogram across the y-axis, write the opposites of the x-coordinates. The y-coordinates do not change. EFGHE’F’G’H’ E(–4, 0)E’(4, 0) F(0, 0)F’(0, 0) G(–2, –3)G’(2, –3) H(–6, –3)H’(6, –3) Course Graphing Reflections

Additional Example 1 Continued Reflect parallelogram EFGH across the y-axis y x E F GH E’E’F’F’ G’G’ H’H’ Course Graphing Reflections

y x Try This: Example 1 Give the coordinates of the figure after the given reflection. Reflect parallelogram EFGH across the x-axis. EF GH Course Graphing Reflections

Try This: Example 1 Continued To reflect the parallelogram across the x-axis, write the opposites of the y-coordinates. The x-coordinates do not change. EFGHE’F’G’H’ E(–4, 0)E’(–4, 0) F(0, 0)F’(0, 0) G(–2, –3)G’(–2, 3) H(–6, –3)H’(–6, 3) Course Graphing Reflections

Try This: Example 1 Continued Reflect parallelogram EFGH across the x-axis y x E F GH E’E’ F’F’ G’G’ H’H’ Course Graphing Reflections

Additional Example 2: Design Application A designer is using a stencil that is shaped like the figure below. A pattern is made by reflecting the figure across the x-axis. Give the coordinates of the vertices of the figure after the reflection y x P Q S R Course Graphing Reflections

Additional Example 2 Continued To reflect the quadrilateral across the x-axis, write the opposites of the y-coordinates. The x-coordinates do not change. PQRSP’Q’R’S’ P(1, 7)P’(1, –7) Q(2, 1)Q’(2, –1) R(–1, 1)R’(–1, –1) S(–3, 3)S’(–3, –3) Course Graphing Reflections

Additional Example 2 Continued y x P Q S R P’P’ Q’Q’ S’S’ R’R’ Course Graphing Reflections

Try This: Example 2 A designer is using a stencil that is shaped like the figure below. A pattern is made by reflecting the figure across the y-axis. Give the coordinates of the vertices of the figure after the reflection y x P Q S R Course Graphing Reflections

Try This: Example 2 Continued To reflect the quadrilateral across the y-axis, write the opposites of the x-coordinates. The y-coordinates do not change. PQRSP’Q’R’S’ P(–3, 7)P’(3, 7) Q(–2, 1)Q’(2, 1) R(–5, 1)R’(5, 1) S(–7, 3)S’(7, 3) Course Graphing Reflections

Try This: Example 2 Continued y x P Q S R Q’Q’ P’P’ S’S’ R’R’ Course Graphing Reflections

Lesson Quiz Give the coordinates of the vertices of each figure after the given reflection. 1. Reflect triangle ABC with vertices A(5, 1), B(2, 3), and C(4, 6) across the x-axis. 2. Reflect parallelogram PQRS with vertices P(–4, –4), Q(1, –4), R(–2, 2), and S(3, 2) across the y-axis. P’(4, –4), Q’(–1, –4), R’(2, 2), and S’(–3, 2) A’(5, –1), B’(2, –3), C’(4, –6) Insert Lesson Title Here Course Graphing Reflections