Angles and Triangles Angles o A shape formed
- Slides: 14
Angles and Triangles
Angles o A shape formed by two rays sharing a common endpoint; contains two rays and a vertex—point common to two rays of a triangle or two sides of a polygon ray vertex ray—has one endpoint and goes infinitely in one direction ray
Types of Angles o Acute angle: An angle whose measure is greater than zero degrees and less than 90 degrees Which angles are not acute? 4 1 3 2 5
Types of Angles o Right angle: Angle that measures 90 degrees Which angle is a right angle? 4 1 3 2 5
Types of Angles o Obtuse angle: One angle measures greater than 90 degrees and less than 180 degrees Which angle is an obtuse angle? 4 1 3 2 5
Straight Angle o Straight angle: A line that goes infinitely in both directions and measures 180 degrees Which is not a straight angle? 1 2 This is a ray. It only goes in one direction.
Types of Triangles o Equilateral triangle: A triangle with three congruent (equal) sides and three equal angles These marks indicate equality.
Types of Triangles o Isosceles triangle: A triangle with at least two congruent (equal) sides
Types of Triangles o Right triangle: Has only one right angle (90 degrees) This box indicates a right angle or a 90 -degree angle.
Types of Triangles o Scalene triangle: A triangle that has no congruent (equal) sides
Types of Triangles o Name each type of triangle 4 2 1 3
Types of Triangles o Name each type of triangle Right 4 2 Scalene 1 3 Equilateral Isosceles
Interior Angles o Interior angles: An interior angle (or internal angle) is an angle formed by two sides of a simple polygon that share an endpoint o Interior angles of a triangle always equal 180 degrees.
Measuring Angles o You measure angles with a protractor. Notice there are two scales. Be careful which 0 you start at. 900 This point is 0. This point goes at the vertex of the angle
- Vertical angles shapes
- Angles formed by chords tangents secants
- 3-2 angles formed by parallel lines and transversals
- 10-6 secants, tangents, and angle measures
- Is an exact location
- Isosceles and equilateral
- Shape matching and object recognition using shape contexts
- Shape matching and object recognition using shape contexts
- Two nonadjacent angles formed by two intersecting lines
- Angles formed by parallel lines
- Properties of angles formed by intersecting lines
- M
- Vertical angles
- Vertical angle
- Formed by two noncollinear rays with a common endpoint