Honors Geometry 4 Sept 2012 Place your binder and text on your desk. Warm-up: Take a piece of notebook paper and fold it in ½. we’ll use 1 page per week.

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Presentation transcript:

Honors Geometry 4 Sept 2012 Place your binder and text on your desk. Warm-up: Take a piece of notebook paper and fold it in ½. we’ll use 1 page per week for all warm ups 1) Name and sketch the 3 undefined terms of terms of geometry. 2) Sketch and label: Monday Tuesday holiday

Objective Students will be able to correctly name and label basic geometric figures and find midpoint of a line segment graphically and algebraically. Students will take notes, watch a video and work problems. UPCOMING DUE DATE Art Project- due Wed/Th Sept 5/6 QUESTIONS?

Tutoring Monday 3 – 3:45 Thursday 1:30 – 2:15 TUTORING today because of holiday 3 – 3:45 HOMEWORK DUE Friday: pg. 33: evens (use graph paper, use KWHCC– write basic info) pg. 37: 1 – 6 all

Notes….. We will take Cornell style notes. Essential Question: How do you find and correctly label midpoint on a sketch? NOTES- in right hand side Left column- at home, develop questions Bottom- summarize information from the page of notes into 2 – 3 concise sentences

WRITE IN YOUR NOTES (classwork section) Name as many lines, line segments and rays as you can P A T B C How many ways can you name the line?

notes please….. important distinctions Two segments have equal measure or length, FG = 12 cm or m = 12 cm Two segments of the same length are congruent. It is important to remember that the equals symbol, =, is used between equal numbers or measures, and the congruence symbol,, is used between congruent figures. Congruent means “same size, same shape”

How do we indicate congruence on a figure? 1) Write the measures of a segment on the figure 2) Use congruent marks on the figure Don’t ASSUME!!!! Just because segments LOOK like they have the same measure NOT DOES NOT necessarily mean they HAVE HAVE the measure….. midpoint--- don’t assume a point is a midpoint unless you KNOW the two segments to either side ARE congruent….don’t assume!!! A B C D E 2 cm Name congruent segments and any midpoints CE = ED or m = m OR AC = BD or m = m OR Is point E a midpoint?

practice Identify FOUR congruent segments, correctly using geometry notation with “=“ and “ “ Hint– what do you know about circles?

Midpoint The midpoint is a point that divides the segment into two congruent segments. practice : make a sketch and show your work in your notes. 1) name each midpoint and the segment it bisects 2) name all congruent segments using the congruence symbol. A B C D P

Midpoint= the point that divides a segment into two congruent segments If you are given the coordinates of two endpoints that define a line segment, how can find the coordinates of the midpoint? coordinates: (x, y)

Take notes……finding midpoint Watch video: equations-and-inequalitie/v/midpoint-formula FORMULA for midpoint: If the coordinates of A and B are ( x 1, y 1 ) and ( x 2, y 2 ) respectively, then the midpoint, M, of AB is given by the following formula (Midpoint Formula).

debrief What is the definition of midpoint? How do you find the midpoint if you are given two endpoints?