Geometric Terms ( Point, Line, Line Segment, Ray Angle, Intersecting Lines, Perpendicular Lines, Parallel Lines ). Types Of Angles ( acute angles, right angles, obtuse angles, straight angles, reflex angle, full angle). Angle Relationships(Alternate interior angles, Alternate exterior angles, Same side interior angles, Same side exterior angles,Vertical angles, Corresponding angles, Complementary angles, Supplementary angles).

1. GEOMETRIC TERMS AND
ANGLES.
Amna A.E Abu Namous
5/10/2018
Amnaae6@gmail.com

2.  Geometric Terms.
 Types Of Angles.
 Angle Relationships.
 Example.
Outline:

3. Geometric Terms
 Point
 Line
 Line Segment
 Ray
 Angle
 Intersecting Lines
 Perpendicular Lines
 Parallel Lines

4. Point
.
 An exact location in space
Line
 A straight path on a plane
 Both directions
Line Segment
..
 A part of a line
that has two
endpoints

5. Ray
 Starts from one point
and extends in one
direction
Angle
 Two rays share an endpoint
Intersecting Lines
.
 Lines that crass at
one point.
 Crass point is not
right angle .

6. Parallel Lines
 Lines that not
crass any points .
 Never intersect.
Perpendicular Lines
 Lines that crass at
one point.
 Crass point is right
angle .

7. Types Of Angles

8. Types Of Angles
Acute Angles Right Angles Obtuse Angles Straight Angles Reflex Angle Full Angle

9. Acute Angles
0˚ < Ᏸ < 90 ˚
More than 0˚ but Less than 90˚
Right Angles Obtuse Angles
Ᏸ = 90˚
Exact 90˚
90˚ < Ᏸ < 180˚
More than 90˚ but Less than 180˚

10. Straight Angles
180˚ < Ᏸ < 360 ˚
More than 180˚ but Less than 360˚
Reflex Angle Full Angle
Ᏸ = 180˚
Exact 180˚
Ᏸ = 360˚
Exact 360˚

11. Transversal Angle Relationships

12. Angle Relationships
 Alternate interior angles
 Alternate exterior angles
 Same side interior angles
 Same side exterior angles
 Vertical angles
 Corresponding angles
 Complementary angles
 Supplementary angles

13. Alternate Exterior AnglesAlternate Interior Angles
 opposite sides of the transversal
 inside the two lines
 Two angles are same value
 opposite sides of the transversal
 Outside the two lines
 Two angles are same value

14. Same side exterior anglesSame side interior angles
 Same side of the transversal
 inside the two lines
 The sum of the two angles is 180 degrees
 Same side of the transversal
 Outside the two lines
 The sum of the two angles is 180 degrees

15. Corresponding anglesVertical angles
 Angles opposite each other
 Tow line cross
 Two angles are same value
 Same side of the transversal
 Two angles one inside and other outside
 Two angles are same value

16. Supplementary anglesComplementary angles
 Angles that add
up90˚degrees
 Angles that add up to180˚ degrees

17. Example :
30˚
(x+2)
How to find x and y ?
 The relationship from 30˚ to (x+2) are Corresponding angles .
 both angles are same.
30˚ = X+2
X=28˚
y
 The relationship from 30˚ to y are Supplementary
angles.
 Angles that add up to180˚ degrees
30˚ + y = 180˚
y= 150˚

18. Example :
Z
(2x+5)
How to find x , z and y ?
 The relationship from 35˚ to (2x+5) are Supplementary angles.
 Angles that add up to180˚ degrees
35˚ +2X +5 = 180˚
2X=140˚
X=70˚
35
˚
y
 The relationship from 35 ˚ and y are Same side exterior angles.
 Angles that add up to180˚ degrees
35 ˚ + y = 180˚
y=145˚
 The relationship from z to y are Supplementary angles.
145+z = 180˚
z=35˚

19. Practice :
Calculate the value of the letters in each questions :
40
˚
(x+2)˚
y˚
x˚
y˚ = ……………………
x˚= …………………….
(x+2) ˚ = ………………

20. If you want, try solving the last
questions, and type your answer
through the comment

21. Thank you