This document defines and describes basic geometry terms including: - Geometry is the branch of mathematics concerned with shapes, their properties, and spatial relationships. - It defines types of lines, angles, and their properties. Common line types include rays, segments, and parallel/perpendicular lines. Common angle types include acute, obtuse, right, and straight angles. - Plane figures are two-dimensional shapes defined by points and lines on a flat surface. Common plane figures include polygons, circles, and quadrilaterals. - Space figures are three-dimensional shapes with faces, edges, and vertices. Examples given are tessellations and symmetry in planes and space.

2. - the branch of mathematics that is concerned with the
properties and relationships of:
- points, lines, angles, curves, surfaces, and solids.
- The visual study of shapes, sizes, patterns, and positions.- The visual study of shapes, sizes, patterns, and positions.

4. Different Types:
 Line
 Line Segment Line Segment
 Ray
 Perpendicular
 Parallel
 Intersecting

5.  Has no beginning or end.
 Continues indefinitely in both directions.
 Can be illustrated by drawing arrows at each end.

6.  Has a beginning point and an end point.
 Line segments on a shape are called sides.
 Can be found in many shapes. Can be found in many shapes.

7.  Has a beginning point but no end point.

8.  Lines in the same
plane that do not
intersect or crossintersect or cross
each other.

9.  Two or more lines that meet at a point.

10.  Perpendicular lines form a right or 90 degree angle.

11.  Made up of two rays with the same start point.
 The start point is called the vertex.
 The two rays are called the sides of the angle. The two rays are called the sides of the angle.

12. A Protractor.

13.  Zero Angles
 Right Angles
 Acute Angles Acute Angles
 Obtuse Angles
 Straight Angles
 SupplementaryAngles
 ComplimentaryAngles

14.  Are Parallel and equal 180 degrees.

15.  Two rays that create a 90 degree angle.

16.  Two rays that have a smaller angle than a
right angle.
 <90 Degrees

17.  Angles larger than a right angle and smaller
than two right angles. >90 Degrees

18.  Angles equal to two right angles.

19.  Two angles that sum to a straight angle

20. Two angles that sum to one right angle

23.  Plane Figure:
 A two-dimensional
shape (2D).
 A shape on a plane.
IncludesIncludes
points, lines, polygo
ns, circles, triangles
, hexagon, pentago
ns, etc.
 A plane figure is
any set of points on
a plane.

24.  Quadrilateral- a plane figure having four
sides and four angles.
 Parallelograms - a quadrilateral having both
pairs of opposite sides parallel to each other.pairs of opposite sides parallel to each other.

25. Equilateral Triangle
Three equal sides
Three equal angles,
always 60°
Isosceles Triangle
Two equal sides
Acute Triangle
All angles are
less than 90°
Right Triangle
Has a right angleTwo equal sides
Two equal angles
Scalene Triangle
No equal sides
No equal angles
Has a right angle
(90°)
Obtuse Triangle
Has an angle
more than 90°
Right Isosceles Triangle
Has a right angle (90°),
and also two equal angles

28.  Space figures are three dimensional figures.
 Faces: Side of the space figure
 Edges: Where two faces meet
Vertex or Vertices: the corners of the space figures
EDGE
FACE
 Vertex or Vertices: the corners of the space figures
VERTEX

29. Activity!
 Take out the papers in front of you and make each item you
see.

30. I have a Name!

32. Repeating a shape over and over
and over and over and over and
over again, leaving no gaps
Tesselation
over again, leaving no gaps
between each shape to form a
BIGGER shape.
Another word for “tesselation” is
TILING!

35. Symmetry
 Symmetry is having two sides of a whole
look like they reflect each other.
Line of Symmetry

36.  Something that is not symmetrical.
Asymmetry

37. Symmetry in Planes

38. Symmetry in Space