Download
1 / 27
270 likes | 420 Views
Unit 4 Reflect, Translate & Rotate. Lesson 1: Basic Constructions. Unit 4 : Lesson 1 Definitions. 1. Point : a specific location in space often represented by a dot. Ex. point A. A ∙. Unit 4 : Lesson 1 Definitions.
E N D
Unit 4 Reflect, Translate & Rotate Lesson 1: Basic Constructions
Unit 4 : Lesson 1 Definitions 1. Point: a specific location in space often represented by a dot. Ex. point A. A ∙
Unit 4 : Lesson 1 Definitions 2. Line: a set of points whose length goes on forever in 2 opposite directions. Ex. Line AB and Line GH.
Unit 4 : Lesson 1 Definitions 3. Line segment: the part of a line between two points on a line. __ Ex. Line segment AB or AB.
Unit 4 : Lesson 1 Definitions 4. Endpoints: the points at the end of a line segment or a ray. Ex. Point A and Point B are endpoints for line segment AB.
Unit 4 : Lesson 1 Definitions 5. Ray: a part of a line that begins at an endpoint and goes on forever in one direction. → Ex. Ray MN or MN.
Unit 4 : Lesson 1 Definitions 6. Angle: a figure formed by 2 distinct rays with a common endpoint called the vertex. Ex. Angle BAC or CAB.
Unit 4 : Lesson 1 Definitions 7. Plane: a flat surface that has no edges or boundaries that goes on forever in all directions. Ex. Plane ABCD.
Unit 4 : Lesson 1 Definitions 8. Intersection: the point at which two or more lines intersect or cross. Ex. Line AE and Line CD intersect at point B.
Unit 4 : Lesson 1 Definitions 9. Perpendicular lines: lines that meet to form right angles. Ex. Line AB and Line CD are perpendicular lines.
Unit 4 : Lesson 1 Definitions 10. Parallel lines: lines that lie in the same plane that do not intersect. Ex. Line AB and Line CD are parallel lines.
Unit 4 : Lesson 1 Definitions 11. Bisector: a line or ray that divides a segment or angle into 2 equal parts. Ex. Ray BR bisects Angle ABC
Unit 4 : Lesson 1 Definitions 12. Congruent: figures that have the same size, shape, and measure. Ex. Angle RSW and Angle TSW are congruent.
Unit 4 : Lesson 1 Definitions 13. Construction: a geometric drawing made by using a compass and a straight edge. Ex. Constructing Line XY to bisect Line Segment AB.
Transformation: • The mapping, or movement, of all the points of a figure in a plane according to a common operation
A translation "slides" an object a fixed distancein a given direction. The original object and its translation have the same shape and size, and they face in the same direction. The word "translate" in Latin means "carried across".
A reflection can be seen in water, in a mirror, in glass, or in a shiny surface. An object and its reflection have the same shape and size, but the figures face in opposite directions. In a mirror, for example, right and left are switched.
A rotation is a transformation that turns a figure about a fixed point called the center of rotation. An object and its rotation are the same shape and size, but the figures may be turned in different directions.
Reflection Line • A line that a figure is ___________ across to create a _____________ image of the original. It is sometimes referred to as the mirror line.
Angle of Rotation • The number of _____________ that a figure is __________________ about a fixed point.
Corresponding Sides • _____________________ sides of two or more polygons.
Corresponding Angles • Matching ________________ of two or more polygons.
Similar • Figures with the same __________, but not necessarily the same _____________.
Vertex • On an _______________ or a polygon, the point where _________ sides intersect. Vertex
Compass • The tool used to ___________ accurate ___________ and circles.
Coordinate Plane • A plane formed by the __________ of a horizontal number line, the x-axis and a __________ line called the y-axis.
Skew • Lines that do not _____________. Lie in different ____________, and are not parallel. Skew lines
