* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download _____ Target 3 (Reflections): (1 MORE day) CCSS.MATH
Survey
Document related concepts
Plane of rotation wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Multilateration wikipedia , lookup
Analytic geometry wikipedia , lookup
Euler angles wikipedia , lookup
Rational trigonometry wikipedia , lookup
Geometrization conjecture wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
Möbius transformation wikipedia , lookup
Derivations of the Lorentz transformations wikipedia , lookup
Lorentz transformation wikipedia , lookup
Cartesian coordinate system wikipedia , lookup
Lie sphere geometry wikipedia , lookup
History of geometry wikipedia , lookup
Transcript
_____ Target 3 (Reflections): (1 MORE day) CCSS.MATH.CONTENT.HSG.CO.A.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch). CCSS.MATH.CONTENT.HSG.CO.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. CCSS.MATH.CONTENT.HSG.CO.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another. WARM UP 1. Reflect the point Q (1, -2) across the x axis. Q’ = ___________ 2. Reflect the point Q (2, -2) across the y axis. Q’ = ___________ 3. 4. Write the rule that describes the transformation 5. Try to reflect a square ABCD located at A(-1, 1), B(-3,1), C(-3,3), and D(-1,3) across the line y=x. 6. Reflect the triangle across the line. 7.Write your name on the left side of the longer line, then reflect it. 43. Is this image a reflection? Explain your reasoning using correct mathematical vocabulary (IE, use the vocabulary from the definition). __________________________________________ __________________________________________ __________________________________________ __________________________________________ Go to http://mathbitsnotebook.com/Geometry/Transformations/TRReflectionPractice.html and do the first 6 practice problems.