Honors Geometry 4 Sept 2012Place 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:

, ,AB SQ EF��������������������������� ��

Monday

Tuesday

holiday

ObjectiveStudents 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 DATEArt Project- due Wed/Th Sept 5/6

QUESTIONS?

Tutoring Monday 3 – 3:45Thursday 1:30 – 2:15TUTORING today because of holiday 3 – 3:45

HOMEWORK DUE Friday:pg. 33: 18- 32 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 cmTwo 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”

FG

FG AB

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 measureLOOK like they have the same measure DOES NOTNOT necessarily mean they HAVEHAVE 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 DE

2 cm 2 cmName congruent segments and any midpoints

CE = ED or m = mCE ED OR CE ED

AC = BD or m = mBDAC OR ACBD

Is point E a midpoint?

practice

Identify FOUR congruent segments, correctly usinggeometry notation with “=“ and “ “

Hint– what do you know about circles?

MidpointThe 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 bisects2) name all congruent segments using the congruence symbol.

AB

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:http://www.khanacademy.org/math/algebra/linear-

equations-and-inequalitie/v/midpoint-formula

FORMULA for midpoint:

If the coordinates of A and B are ( x1, y1) and ( x2, y2)

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?