Bellwork 1. Solve for m. 2(7m – 5) = 8m Simplify the expression. 9x + 2 – 3(x + 5)

Homework Answers. Any questions? *Answers in red have other possible answers.

Quiz Time! Clear your desk of everything except: Your Geometry notes A pencil An eraser You will have 10 minutes for this quiz.

Finishing up Section 1-2 Part A from yesterday

EX 1: Calculate the length of each segment. B) XY = ?A) AB = ?

EX 2: Calculate NO.

Congruent Segments Congruent segments are segments that have the same length. In the diagram, PQ = RS, so you can write PQ  RS. This is read as “segment PQ is congruent to segment RS.” Tick marks are used in a figure to show congruent segments.

EX 3: Real Life Application Recall that a midpoint is the exact middle of a segment. EX: The map shows the route for a race. You are 365m from drink station R and 2km from drink station S. The first-aid station is located at the midpoint of the two drink stations. How far are you from the first-aid station?

EX 4: Using a Midpoint D F E 4x + 6 7x – 9 D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9. Find ED, DF, and EF.

Section 1-3 Part A: Measuring Angles Rigor: Measuring, naming, and classifying angles Relevance: Angles describe rotation

What are angles? An angle is a figure formed by two rays, called sides, with a common endpoint called the vertex (plural: vertices). There are 3 ways to name an angle: By the vertex R By a number in the interior 1 With 3 points: one from each side and the vertex in the middle SRT or TRS If more than 1 angle shares a vertex you can NOT name the angle solely by its vertex!

Example 1: Naming Angles A) What are 2 other names for B) Why can’t  1 be named

Measuring Angles Angles describe rotation, NOT length Angles are measured in degrees using a protractor or in radians. (we will focus on degrees for now) Read “the measure of angle AOB is 125 degrees”

Classifying Angles By Their Measure Angles with the same measure are congruent angles. Symbol for congruent angles in pictures

Example 2: Measuring and Classifying Angles What are the measures of  LKN,  JKL, and  JKN? Classify each angle as acute, obtuse, right, or straight.

Example 3: mDEG = 115°, and mDEF = 48°. Find mFEG

Angle Bisectors An angle bisector is a ray that divides an angle into two congruent angles. JK bisects  LJM; thus  LJK   KJM.

Example 4: Last example! KM bisects  JKL, m  JKM = (4x + 6)°, and m  MKL = (7x – 12)°. Find m  JKM.

CW 1-2 &1-3 Part A This comes from the TEXTBOOK, not the Core book, so you will need a piece of paper to write on. Heading: Sections 1-2 and 1-3 CW part A Assignment: textbook pg 17 – 18 #7, 8, 16, 18, 33 Textbook pg 24 – 26 #3, 12, 17, 27, 30, 34 Draw a diagram if one is not provided for you. Show all work!