Geometry

1
Geometry.The Basics

• A little intimidating, but what an adventure!!!

2
The Undefined Terms of Geometry

• Point
• Marks a location, a place in space
• No dimensions
• Infinitely many
• Line
• An infinite string of points, never ends
• Determined by 2 points
• Goes forever in 2 directions
• Has one dimension -- length
• Plane
• A flat surface that goes forever in all
  directions
• Contains infinitely many points and lines
• Determined by 3 points
• Has 2 dimensions length and width

3
The 3 undefined terms
Term Name It!! Draw It!!
Point
Line
Plane
4

• Collinear
• Points
• Coplanar Points or Lines
• What would noncollinear or
• noncoplanar mean??

• 3 or more points lying on the same line

• Points or lines lying on the same plane

5
Line Segment
Part of a line, has 2 endpoints
Ray
Has one endpoint and goes forever in ONE direction
Opposite Rays
2 rays with the same endpoint and go in opposite
directions
6
Intersection

• 2 lines intersect in a ____________
• 2 planes intersect in a _____________
• A line and a plane intersect in a ________

7
Perimeter, Area, Volume, Surface Area

1. Given a rectangle with length of 5.3 and width of
   3.34 how would you find the perimeter and the
   area

8

• Given a circle with a radius of 5.4 how would you
  find the circumference and the area

9

• Given a cylinder with a diameter of 7 and a
  height of 4 how would you find the volume and
  surface area

10

• Given a prism with a length of 4.7, and width of
  2.8 and a height of 3.31 how would you find the
  surface area and volume

11

• Given a square pyramid with a side of 5 and a
  height of 3 how would you find volume and surface
  area

12

1. given a cone with a diameter of 6, a height of 9,
   and a slant height of 9.6 how would you find the
   surface area and volume

13
Mark the symmetry in each figure. If it is
bilateral symmetry tell how many lines if it is
rotational symmetry tell the degree of rotation
14
Scale Drawings

• The length of a stadium is 100 yards and its
  width is 75 yards.  If 1 inch represents 25
  yards, how would you find the dimensions of the
  stadium drawn on a sheet of paper?

15
Scale Drawing

• Given a scale of 6 feet ½ inch. A hexagon
  drawing of the patio plans shows 3 inches per
  side length. How would you find the length of
  the patio?

16
Angles

• What is an acute angle?
• What is an obtuse angle?
• What is a straight angle?
• What are complementary angles?
• What are supplementary angles?
• What are adjacent angles?
• What are linear pairs?

17
Congruence, similarity, and correspondence

• What is the difference between similar and
  congruent?
• What symbols do we use for similar? For
  congruent?
• In what order must a correspondence statement be
  written?

18

• Write the corresponding parts for the triangle
  below and then write the congruence statement.

19

• Write the corresponding parts for the triangle
  below and then write the statement of similarity.

20
Parallel, perpendicular, transversal lines
including ratio of line segments

• Given the diagram below where two parallel lines
  are cut by a transversal, find the measures of
  all angles.

21
Name the angles that meet the following
descriptions. supplementary corresponding
alternate interior alternate exterior same side
exterior same side interior vertical
22
Use the diagram below to find x and y.
23

• What can we say about the lines and angles below?

24
Pythagorean Theorem

• On a baseball diamond the bases are 90 ft apart.
  What is the distance from home plate to second
  base in a straight line?
• There is a building with a 12 ft high window. You
  want to use a ladder to go up to the window, and
  you decide to keep the ladder 5 ft away from the
  building to have a good slant. How long should
  the ladder be?

25
Triangles/ Polygons

• What are the 6 ways that we classify triangles?
  Can these ways be combined?

26

• What are the names of the polygons from 3 sides
  to 12 sides?

27

• What are the names of the special quadrilaterals?