1 / 20

Geometry chapter 1

Geometry chapter 1. By : Alejandro hernandez. Point, line and plane. Point: A point names a location a has no size. Line: A line is a straight path that has no thickness and extends forever. Plane: A plane is a flat surface that extends for ever.

eliza
Download Presentation

Geometry chapter 1

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. Geometrychapter 1 By: Alejandro hernandez

  2. Point, line and plane Point: A point names a location a has no size. Line: A line is a straight path that has no thickness and extends forever. Plane: A plane is a flat surface that extends for ever. http://migugi.net/mel/surfaceGraph/fig_plane01.png

  3. Collinear vs coplanar Collinear points are the points that lie on the same line and coplanar points are the points that lie on the same plane, so the difference between these 2 points is that collinear points can just line on the line and coplanar points can lie any where on the plane. b c a Points a, b and c are collinear and point d is coplanar. d

  4. Line, segment and ray Line: A line is a straight path that has no thickness and extends forever. Segment: A segment is a line with 2 end points. Ray: A ray is a line with a starting point that extends for ever. Line segment ray A line Segment and ray relate to each other because all of them are lines.

  5. Intersection A intersection happens when two or more lines cross each other.

  6. Postulate, axiom and therome The difference between postulate, axiom and therome is that postulate and axiom are things that have been proved and that are true but therome is the only difference because therome is something that will be later proved.

  7. Ruler postulate Use a ruler and subtract the end point values. Examples:1. My gardenis 420ft long and i startwalkingfrom 60 ft whatis my distancewhen i gettopoint 420ft. 420-60= 360 Answere: 360 2. Theroadfromguatemalato el salvador is 130km long and i start in carretera al salvador thatis 40km uotheroadwhen i gettotheend of hteroadthatis 130km howmuchhave i traveld? 130-40=90 Answere: 90 My dogallwayswalks in a sidewalkthatis 900mt he allwaysstartson 200mt when he richestheend of thesidewalkwhatwillhisdistancebe. 900-200=700 Answere: 700

  8. Segment addition postulate If A,B,C (our three collinear points) and B is between A & C, then AB+BC=AC Examples: Pq + qr = pr 130 30 30+130=160 pr=160 p r q 60 20 Ab+bc=ac c a b 20+60=80 ac=80 70 Fg+gh=fh 80 f g h 70+80=150 fh:150

  9. distance between two points on a coordinate plane To find the distance between 2 points in a coordinate plane you have to square X1 and X2 and then do the same with Y1 and Y2 then add and square the answered. Examples: 1. AB= √(10-1)₂+(1-4)₂ √9₂ + (3)₂ √81+ 9 90 square 2. AB= √(11-1)₂+(1-2)₂ √10₂ + (-1)₂ √100+ 1 101 squared 3. AB= √(9-1)₂+(1-10)₂ √8₂ + (-9)₂ √64+ 81 145 squared

  10. Congruent and equal • Congruent • same measure • might not no what the values are. • Equal • same value • allways know the value. They are different because congruent is two objects exactly the same and equality is shape size and angles, like two triangles they are congruent but don’t have measurements meaning we don’t know if they are equal. ≈ =

  11. Angles An angle is 2 rays that share a common end point. Straightangle Acute: A acute angle needs to be less than 90 degrees. Obtuse: A obtuse angle need to be more than 90 degrees. Right angle : A right angle needs to equal 90 degrees

  12. Angle addition postulate 2 small angles add up to a big angle. Angle ABD: 100 angle ABC: 10 100-10=90 CBD: 90 2. Angle EFI: 130 angle FGI: 15 130-15=115 EFG: 115 3. Angle VXY: 130 angle YXZ: 20 130-20=110

  13. Midpoint A mid point is a point in the exact middle of a segment. MIDPOINT FORMULA: (X₁+X₂/2,Y₁+Y₂/2) 1.(6+4)(4+1)/2 m=1.5 2.(-3+0)(-1,1)/2 m=-1.5 3. (-3+-1.5)(4+1)/2 m= -.75,2.5

  14. Angle bisector A angle bisector is a line that cuts an angle into 2 exact parts. A way of doing a angle bisector is first to do angle, second grave your compass and open it and put it at the end points of your angle and then do 2 little arcs in both sides, third you have to open it a little bet and where you have done your 2 arcs put it right in the line and do 2 more arcs then grave your rule and draw the line that will bisect your angle.

  15. Adjacent, vertical and linear pairs Adjacent angle: adjacent angles are angles that share a common side. Linear pair: a linear pair are 2 adjacent angles that creat a straight line. Vertical angle: vertical angles are non adjacent angles formed by the intersection of 2 lines. Adjacentangle Linear pair Vertical angles

  16. Complementary and suplementery A complementary angles are any 2 angles that add up to 90 degreese, suplementary angles any 2 angles that add uo to 180 degreese. The difference between these 2 angles is that one needs to add up to 180 that would be suplementary and the other to 90 that is complementary. Complementary Suplementtary

  17. circonference The circumference of a circle is the distance around the circle. Circumference (C) is given by C=(Pi)d or C=2(Pi)r.

  18. Five step problem solving Process 1.READ IT CAREFULLY2.WRITE DOWN ALL IMPORTANT INFORMATION3.DRAW A PICTURE4.WRITE AND SOLVE THE EQUATION5.ANSWER THE QUESTION

  19. Transformation Transformation: transformation is when you change the position of an object. Translation: the slide of an object in any direction. translation rotation

  20. reflection

More Related