unit 4 reflect, translate & rotate
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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. - PowerPoint PPT PresentationTRANSCRIPT
Unit 4 Reflect, Translate &
Rotate
Lesson 1: Basic Constructions
Unit 4 : Lesson 1 Definitions1. 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