Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Integer triangle wikipedia , lookup
Steinitz's theorem wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Multilateration wikipedia , lookup
Line (geometry) wikipedia , lookup
History of trigonometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Four color theorem wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euler angles wikipedia , lookup
Geometry Lesson 1.3 Learning Target 1.3- I can name and classify angles. An angle is formed by two rays, or sides, with a common endpoint called the vertex (plural vertices). You can name an angle several ways: By its vertex By a point on each ray in the vertex By a number ∠R ∠SRT ∠TRS ∠1 *You cannot name an angle just by its vertex if the point is the vertex of more than one angle. In this case, you must use all 3 points to name the angle, and the vertex MUST be in the middle. Ex. ∠BAC ∠CAD ∠BAD The measure of an angle is usually given in degrees. Since there are 360° in a circle, 1° is 1/360 of a circle. Protractor Postulate- Given AB and a point O on AB, all rays that can be drawn from O can be put to a one-to-one correspondence with the real numbers from 0 to 180. *Basically, this means you can use a protractor to measure angles from 0° to 180°. Types of angles: Congruent Angles are angles that have the same measure, written as ∠ABC≅∠DEF, marked on diagram with “arc marks.” Angle Addition Postulate- If S is in the interior of ∠PQR, then m∠PQS + m∠SQR =m∠PQR Ex. m∠DEG= 115° and m∠DEF= 48°. Find m∠FEG. Angle Bisector- A ray that divides an angle into two congruent angles. Ex: KM bisects ∠JKL, m∠JKM= (4x+6)° and m∠MKL= (7x-12)°. Find m∠JKM.