Download Geometry Fall 2015 Lesson 028 _Proving overlapping triangles

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Transcript
1
Lesson Plan #28
Class: Geometry
Date: Wednesday November 18th, 2015
Topic: Proving overlapping triangles congruent.
Aim: How can we prove overlapping triangles congruent?
Objectives: Students will be able to prove overlapping triangles congruent.
HW #28:
B
Note: Recall the definition of an angle bisector – A bisector of an angle is a ray whose endpoint
is the vertex of the angle, and that divides the angle into two congruent angles. We may also say
1
1
m  AOC  m  AOB , m  COB  m  AOB ,
2
2
m  AOB  2m  AOC , m  AOB  2m  COB from the Angle Bisector Theorem.
ABC , angle B is the vertex angle.
Find the lengths of AC and BC
Do Now: In Isosceles
21 centimeters.
PROCEDURE:
Write the Aim and Do Now
Get students working!
Take attendance
Give Back HW
Collect HW
Go over the Do Now
Assignment #1:
Assignment #2:
C
O
The perimeter of the triangle is 60. The length of
A
AB is
Online Activity: http://www.virtualnerd.com/tutorials/?id=Geo_04_01_0004
2
On Your Own: Write the proofs to the following 3 assignments in your groups and put up on the board.
Assignment #3:
Assignment #4:
Assignment #5:
Assignment #6:
3
If enough time:
Assignment #7:
1)
2)
3)
4)
5)
6) Given:
 B and  C are right angles.
BA  CD
BE  FC