c. n. colón geometry st. barnabas hs bronx, ny rays and angles ch. 1.5 and 1.6
TRANSCRIPT
- Slide 1
- Slide 2
- C. N. Coln Geometry St. Barnabas HS Bronx, NY Rays and Angles Ch. 1.5 and 1.6
- Slide 3
- A RAY consists of a point on a line and all points on one side of the point. K A D This ray can be called AK or AD The beginning of the name is the endpoint, A.
- Slide 4
- Opposite rays are two rays of the same line with a common endpoint and no other points in common RAY CC TT A
- Slide 5
- Oh, Mrs. C, you are tooooooo funny!
- Slide 6
- This is an angle
- Slide 7
- A n angle is a set of points that is the union of two rays having the same endpoint A n Side Vertex DD EE There are several ways to name this angle: A DAE EAD n
- Slide 8
- In this case there is no confusion you name an angle by the vertex. A A
- Slide 9
- obtuse angle acute angle
- Slide 10
- Slide 11
- A B C D How many angles do you see? A 1 B 2 C 3 D Huh?
- Slide 12
- Degrees were developed by the Babylonians thousands of years ago. They divided a circle into 360 parts and called each part one degree.
- Slide 13
- The symbol for degrees, as you probably already know, is a small superscript circle. 4537112
- Slide 14
- Slide 15
- This is an acute angle and it measures 61
- Slide 16
- This is an obtuse angle and it measures 127
- Slide 17
- A: 180B: 125C: 50D: 25
- Slide 18
- Angles are congruent if they have the same measure. A B
- Slide 19
- If point S is in the interior (middle) of angle PQR, then the measure of PQS + measure of SQR = measure of PQR P Q R S
- Slide 20
- P Q R S The bisector of an angle is a ray whose endpoint is the vertex of the angle, and that divides the angle into two congruent angles. PQS = SQR ~
- Slide 21
- Complementary angles are two angles that total 90 degrees 30 and ___ 27 and ___ 12 and ___ 63 60 78
- Slide 22
- Supplementary angles are two angles that total 180 degrees 25 and ___ 67 and ___ 124 and ___ 155 56 113
- Slide 23
- AngleComplementSupplement 28 49 67 100 147
- Slide 24
- AngleComplementSupplement 2862 49 67 100 147
- Slide 25
- AngleComplementSupplement 2862152 49 67 100 147
- Slide 26
- AngleComplementSupplement 2862152 4941 67 100 147
- Slide 27
- AngleComplementSupplement 2862152 4941131 67 100 147
- Slide 28
- AngleComplementSupplement 2862152 4941131 6723 100 147
- Slide 29
- AngleComplementSupplement 2862152 4941131 6723113 100 147
- Slide 30
- AngleComplementSupplement 2862152 4941131 6723113 100none 147
- Slide 31
- AngleComplementSupplement 2862152 4941131 6723113 100none80 147
- Slide 32
- AngleComplementSupplement 2862152 4941131 6723113 100none80 147none
- Slide 33
- AngleComplementSupplement 2862152 4941131 6723113 100none80 147none33
- Slide 34
- Straight angle is an angle that is the union of opposite rays. It makes a straight line and measures 180
- Slide 35
- Linear angles are two angles that share a side and make a line. We also called them supplementary angles Linear angles total 180
- Slide 36
- Right angles are angles that measure 90
- Slide 37
- Acute angles measure less than 90
- Slide 38
- Obtuse angles are angles that measure more than 90 but less than 180
- Slide 39
- Perpendicular lines are lines that intersect to form right angles. The shortest distance from any point to a line is the length of the perpendicular from the point to the line.
- Slide 40
- A reflex angle is an angle that measures more than 180
- Slide 41
- p. 18 # 3, 4 p. 21 #4-24 (e)