Understanding Angles and Triangles

1. Angles and Triangles

2. Angles A shape formed by two rays sharing a common endpoint; contains two rays and a vertex ray ray vertex ray has one endpoint and goes infinitely in one direction vertex point common to two rays of a triangle or two sides of a polygon

3. Types of Angles Acute angle: An angle whose measure is greater than zero degrees and less than 90 degrees Which angles are not acute? 1 2 3 4 5

4. Types of Angles Right angle: Angle that measures 90 degrees Which angle is a right angle? 1 2 3 4 5

5. Types of Angles Obtuse angle: One angle measures greater than 90 degrees and less than 180 degrees Which angle is an obtuse angle? 1 2 3 4 5

6. Straight Angle 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.

7. Types of Triangles Equilateral triangle: A triangle with three congruent (equal) sides and three equal angles These marks indicate equality.

8. Types of Triangles Isosceles triangle: A triangle with at least two congruent (equal) sides

9. Types of Triangles Right triangle: Has only one right angle (90 degrees) This box indicates a right angle or a 90-degree angle.

10. Types of Triangles Scalene triangle: A triangle that has no congruent (equal) sides

11. Types of Triangles Name each type of triangle 1 2 3 4

12. Types of Triangles Name each type of triangle 1 2 3 4 Equilateral Right Isosceles Scalene

13. Interior Angles Interior angles: An interior angle (or internal angle ) is an angle formed by two sides of a simple polygon that share an endpoint Interior angles of a triangle always equal 180 degrees.

14. Measuring Angles You measure angles with a protractor. This point goes at the vertex of the angle This point is 0 This point is 0. Notice there are two scales. Be careful which 0 you start at. 90 0