Transcript Notes 2.4 - Haiku Learning : Login
Bellwork Take out your homework and leave it on your desk.
Pick up the worksheet on the little desk.
Assemble into your groups and complete the worksheet.
Problem 1
F
If m
F
Which angles are congruent? Why? Write your conclusion in conditional (if-then) form.
Problem 2 4 Which other set of angles is also congruent? Why?
Write your conclusion in conditional form.
Problem 3 Which angles are congruent? Why? Write your conclusion in conditional (if-then) form.
Problem 4
A
is supplementary to
C
B
is supplementary to
D D
If m
A
= 125 , find the measures of
B
,
C
and
D
.
Which other set of angles is also congruent? Why?
Write your conclusion in conditional form.
Theorems: Toolbox!
We write:
2.4 Congruent Supplements and Complements
Students will be able to apply the two theorems regarding congruent/same comps and supps.
Class Exercises Turn to page 79 in your book. What reason would you use to prove #2?
#3?
#6?
Example 1 Given:
AD AC
AB AE
Prove: 3
Example 2 1 2 4 is comp to 3
RT
TR
bisects
SRV
STV
Example 3 Given: is supp to
QRS
PQR
QRS
(5
x
is supp to
TWX
48) ,
TWX
(2
x
30) Find:
Ticket to Leave Write the correct theorem you would use for the following proof: Given:
ABC
is supp to
OPQ
OPQ
is supp to
DEF
Prove:
ABC
DEF
Homework Pg. 79 # 1, 8, 10, 11, 12, 15, 17, 19 Quiz Tomorrow over sections 2.1-2.4
Example 2: Given: Bellwork Draw a picture for and complete the proof of a theorem below. 3 6 is supp to Prove: 3 5 4; 5 6 Group work: You will have 7 mins! Each group is given one proof. Draw a picture and complete the proof. Write the theorem in conditional form. 2 people from your group(s) will be randomly selected to Write the proof on the board Explain the proof. As people explain their proof. Write the conclusion in your toolbox! Bellwork 1. Review: If two sides of a triangle are 4 and 9, what is the largest integral value for the length of the third side? 2. Review: What are the restrictions of x if B