Geometry Today: Homework Check 1.4 Instruction Practice Advice from former students: “Focus and speak up, because if you get confused but don’t say anything and just keep moving on, you’ll get lost”

Friday Assignment: 1.3 p 30 3, 9, 13, 22, 49, 74 Advice from former students: “Focus and speak up, because if you get confused but don’t say anything and just keep moving on, you’ll get lost”

Sketch the figure described. 1. Two rays that intersect at their initial points. Vocab 2. What is another name for the rays you drew in #1? 3. Two lines intersect at a ________. ___ 4. MN represents: ___________________________. Check Up 1.2/1.3

A.n = 3; WX = 8 B.n = 3; WX = 9 C.n = 9; WX = 27 D.n = 9; WX = 44 ALGEBRA Find the value of n and WX if W is between X and Y, WX = 6n – 10, XY = 17, and WY = 3n.

Content Standards G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Mathematical Practices 5 Use appropriate tools strategically. 6 Attend to precision.

Then/Now You measured line segments. Measure and classify angles. Identify and use congruent angles and the bisector of an angle.

1.4 Angles and Their Measures Objectives: 1. Use the Angle Addition Postulate 2. Measure and classify angles Vocabulary: angle, vertex, straight angles, adjacent angles, linear pair, vertical angles

Angle: consists of two different rays that have the same initial point. What is the picture? X Y Z sides vertex 1.4 Angles and Their Measures

Names by vertex or all three letters. X Y Z sides vertex 1.4 Angles and Their Measures

A C When naming angles we must be very careful, we can use one letter or we may have to use three letters. The vertex must always be in the middle of the name. List the angles in the diagram. We cannot call this angle B! DB 1.4 Angles and Their Measures

Angles that have the same measure are called CONGRUENT angles. CONGRUENT angles: MARK THEM!!! Solve for x. Plug in and find angle measures. 6x + 3 2x Angles and Their Measures A B C D E

BD bisects  ABC. Find x and the measures of all angles if m  ABD = (2x + 50 )o m  DBC = (5x + 5) o 5x + 5 = 2x x 3x + 5 = 50 3x = 45 x = 15 A C B D (5x + 5) o (2x + 50) o Done? m  ABD = 80° m  DBC = 80° m  CBA = 160° LABEL! 1.4 Angles and Their Measures

YOUR TURN:  ABC is a right angle. Find x and the measures of all angles if m  ABD= 2x + 50 & m  DBC = 5x + 5 A C B D 1.4 Angles and Their Measures

Given that b bisects segment AB, AM = x + 5 and MB = 2x – 2, find x. AB M b Review

Assignment Advice from former students: “Focus and speak up, because if you get confused but don’t say anything and just keep moving on, you’ll get lost” Assignment: 1.4 p 41 #1-4, 9, 37, 39 Homework Quiz and Vocab Quiz on Thursday