1 / 41

Opening Activity

Opening Activity. Give an example of a point , line and plane that can be found in the classroom. Geometry Online Textbook. 1.1 Points, Lines, & Planes. Foldable Activity. What is a definition?. Known words used to describe a new word Undefined terms – not formally defined

corin
Download Presentation

Opening Activity

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Opening Activity • Give an example of a point, line and planethat can be found in the classroom.

  2. Geometry Online Textbook 1.1 Points, Lines, & Planes

  3. Foldable Activity

  4. What is a definition? • Known words used to describe a new word Undefined terms – not formally defined There are 3 in geometry. Point Line Plane

  5. Point

  6. Line Can be called: Line l Line AB or AB Line BA or BA l A B

  7. Plane Can be named: Plane W Plane ABC, plane BCA, plane CBA, etc. A W C B

  8. More Definitions • Collinear points – points that lie on the same line • Coplanar points – points that lie on the same plane • Space – a boundless, three-dimensional set of all points. Space can contain lines and planes.

  9. IDENTIFY AND NAME THE FOLLOWING: • POINT • LINE • PLANE • COLLINEAR POINTS • NONCOLLINEAR POINTS • COPLANAR POINTS • NONCOPLANAR POINTS

  10. Practice

  11. AssignmentHandout

  12. Warm up Practice

  13. Geometry Online Textbook 1.2 Linear Measures User Name: GEOVA05 Password: crAju4re

  14. Line Segment (or segment) • A section of a line that has 2 endpoints • Named by its endpoints. AB or BA • The length or measure of AB is written as AB. A B

  15. Example: Find the length of AB using the ruler. A B

  16. BETWEENNESS OF POINTS

  17. PRACTICE Find the value of the variable and LM if L is between N and M. • NL = 5x, LM = 3x, and NL = 15 • NL = 6x – 5, LM = 2x + 3, and NM = 30

  18. CONGRUENT SEGMENTS • Two segments having the same measure are congruent. • is read is congruent to. (Red slashes indicate t he segments are congruent.) 2 cm 2 cm

  19. Independent Practice • Handout • Homework Page 17 22 – 39 all

  20. Geometry Online Textbook 1.3 DISTANCE AND MIDPOINTS User Name: GEOVA05 Password: crAju4re

  21. Warm up Practice

  22. DISTANCE BETWEEN TWO POINTS Number line Coordinate Plane • PQ = | b – a | or | a – b | • Example Find the distance between the two points -5 and 1. • The distance between d between two points with coordinates (x2 - x1) and (y2 – y1) is given by d = √ (x2 – x1)2 + (y2 – y1)2 • Example Find the distance between R(5.1) and S(-3,-3).

  23. Midpoint of a Segment • Used for finding the coordinates of the midpoint of a segment in a coordinate plane. • If the endpoints are (x1,y1) & (x2,y2), then

  24. Ex: Find the midpoint of SP if S(-3,-5) & P(5,11

  25. Ex: The midpoint of AB is M(2,4). One endpoint is A(-1,7). Find the coordinates of B.

  26. Independent Practice • Handout • Homework Page 25-26 13-18 all; 23-28 all; 31 - 44 all • Quiz next block on Sections 1-1 to 1-3 • You must know the Distance and Midpoint Formulas • Study!!!!

  27. Geometry Online Textbook 1.4 Angle Measures User Name: GEOVA05 Password: crAju4re

  28. Warm up Practice

  29. Angle symbol: • 2 rays that share the same endpoint (or initial point) Sides – the rays XY & XZ Vertex – the common endpoint; X Y X 5 Z Named <YXZ, <ZXY (vertex is always in the middle), or <X (if it’s the only <X in the diagram). Angles can also be named by a #. (<5)

  30. There are 3 different <B’s in this diagram; therefore, none of them should be called <B. A <B ? D B C

  31. Angle Measurement • m<A means the “measure of <A” • Measure angles with a protractor. • Units of angle measurement are degrees (o). • Angles with the same measure are congruent angles. • If m<A = m<B, then <A  <B.

  32. B is ___________ C is ___________ D is ___________ Interior or Exterior? in the interior in the exterior on the < B C D A

  33. Acute angle – Right angle – Obtuse angle – Straight angle – Measures between 0o & 90o Measures exactly 90o Measures between 90o & 180o Measures exactly 180o Types of Angles

  34. Ray • Piece of a line with only one endpoint (initial point) and continues forever in the other direction • Named by the endpoint and a second point named on the ray. (name MUST begin with the endpoint!) AB A B

  35. Opposite Rays • 2 rays that share a common initial point and face opposite directions. • QP and QS are opposite rays. P Q S

  36. Congruent Angles Angles that have the same measure are congruent angles. Arcs on the figure also indicate which angles are congruent.

  37. Practice

  38. Example: 6 volunteers please! • Draw & label points A & B. • Draw & label points C & D. • Draw AB. • Draw BC. • Draw AC. • Draw DA.

  39. More Definitions • Intersect – 2 or more figures intersect if they have one or more points in common. • Intersection – all points or sets of points the figures have in common • What is the intersection of: AB & DA BC & AC BC & BC

  40. When 2 planes intersect, their intersection is a line.

  41. Assignment

More Related