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903Distance Formula in the Coordinate Plane
904Using the Distance Formula with Coordinate Problems
905Midpoint Formula: Finding the Center Point
906Midpoint Applications and Multi-Step Problems
907Distance and Midpoint with Special Triangles
908Partitioning Segments with Ratios
909Distance in Three Dimensions
910Midpoint in Three Dimensions and Combined Problems
911Slope-Intercept Form in the Coordinate Plane
912Point-Slope Form and Writing Line Equations
913Standard Form of Linear Equations
914Equations from Two Points
915Parallel and Perpendicular Lines in Coordinate Geometry
916Standard Form of a Circle
917Finding Center and Radius from Circle Equations
918Completing the Square for Circles
919Writing Equations of Circles from Given Information
920Intersection of Lines and Circles
921Introduction to Geometric Transformations
922Translations in the Coordinate Plane
923Vector Notation for Translations
924Properties of Translations
925Reflections Across the Axes
926Reflections Across y = x and y = -x
927Reflections Across Arbitrary Lines
928Properties of Reflections
929Composition of Translations and Reflections
930Introduction to Rotations in the Coordinate Plane
931Rotations of 90°, 180°, and 270° About the Origin
932Rotations About Points Other Than the Origin
933Properties Preserved Under Rotations
934Introduction to Dilations and Scale Factor
935Dilations Centered at the Origin
936Dilations Centered at Points Other Than the Origin
937Properties of Dilations: What Changes and What Stays
938Combining Rotations and Dilations with Other Transformations
939Introduction to Rigid Motions (Isometries)
940Composition of Rigid Motions
941Congruence Through Rigid Motions
942Line Symmetry (Reflectional Symmetry)
943Rotational Symmetry
944Point Symmetry
945Symmetry in Regular Polygons
946Applications of Symmetry in Design and Nature

903Distance Formula in the Coordinate Plane
904Using the Distance Formula with Coordinate Problems
905Midpoint Formula: Finding the Center Point
906Midpoint Applications and Multi-Step Problems
907Distance and Midpoint with Special Triangles
908Partitioning Segments with Ratios
909Distance in Three Dimensions
910Midpoint in Three Dimensions and Combined Problems
911Slope-Intercept Form in the Coordinate Plane
912Point-Slope Form and Writing Line Equations
913Standard Form of Linear Equations
914Equations from Two Points
915Parallel and Perpendicular Lines in Coordinate Geometry
916Standard Form of a Circle
917Finding Center and Radius from Circle Equations
918Completing the Square for Circles
919Writing Equations of Circles from Given Information
920Intersection of Lines and Circles
921Introduction to Geometric Transformations
922Translations in the Coordinate Plane
923Vector Notation for Translations
924Properties of Translations
925Reflections Across the Axes
926Reflections Across y = x and y = -x
927Reflections Across Arbitrary Lines
928Properties of Reflections
929Composition of Translations and Reflections
930Introduction to Rotations in the Coordinate Plane
931Rotations of 90°, 180°, and 270° About the Origin
932Rotations About Points Other Than the Origin
933Properties Preserved Under Rotations
934Introduction to Dilations and Scale Factor
935Dilations Centered at the Origin
936Dilations Centered at Points Other Than the Origin
937Properties of Dilations: What Changes and What Stays
938Combining Rotations and Dilations with Other Transformations
939Introduction to Rigid Motions (Isometries)
940Composition of Rigid Motions
941Congruence Through Rigid Motions
942Line Symmetry (Reflectional Symmetry)
943Rotational Symmetry
944Point Symmetry
945Symmetry in Regular Polygons
946Applications of Symmetry in Design and Nature

Lesson 946 of 3,121·22. Coordinate Geometry and TransformationsPro lesson

Applications of Symmetry in Design and Nature

Apply concepts of rigid motions and symmetry to analyze patterns in tessellations, architecture, art, and natural forms.

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