unit 4 reflect, translate & rotate

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