Name ______________________________
Bragino-GEOMETRY
WEEK 10-GEOMETRY CLASSWORK PACKET
Date
Monday
11/3
Tuesday
11/4
Wednesday
11/5
Thursday
11/6
Friday
11/7
Topic
Aim: SWBAT construct and apply a
sequence of rigid motions and define
congruence
Classwork
Homework
Pages
1-4
Page
1
Superintendents Conference Day-
Common Core Test
Corrections
NO SCHOOL FOR STUDENTS
Aim: How do transformations of
corresponding angles and vertices create
congruent triangles?
Pages
4-6
Pages
2
Aim: SWBAT apply the triangle
congruence theorem
Pages
7-10
Page
3
Aim: SWBAT successfully prove
triangles are congruent using the
reflexive property and vertical angles
Pages
11-14
Pages
4-5
Reminders:
 THIS IS A VERY IMPORTANT WEEK! If you are absent, make sure you copy the classwork notes
from someone in class. It is imperative that you make up all work as soon as possible.
 Are you reviewing notes and homework every night?
 Are you writing down vocabulary words in your spiral index card book? Take a picture of the wall at
the end of class so you can add to your book at the end of the week.
 EXTRA HELP-WEDNESDAY (algebra) AND THURSDAY (geometry) THIS WEEK!
Aim: Construct and apply a sequence of rigid motions
Warm-Up: Self-Reflection on first quarter in LBHS
1) What is one thing you did this quarter to help one of your classmates?
2) What was the most challenging part of this quarter for you?
3) If you could change one thing that happened this quarter, what would it be?
Name three rigid motions:
___________________
______________________
_____________________
Rigid motions preserve ____________________________ and
____________________________________
Defining congruence: Two figures in the plane are congruent if there exists a finite composition
of basic rigid motions that map one figure onto the other.
1
Task: On the next page there is a blank piece of paper.
2
III. Complete (Each blank is a single word)
Triangle PQR is ________________ to triangle P’’’Q’’’R’’’ because __________
____________ map point P to point P’’’, point Q to point Q’’’, and point R to point R’’’. Rigid
motions map segements onto ____________ _____ _________ ____________ and angles
onto _________ _____ ___________ ____________.
3
Aim: How do transformations of corresponding angles and vertices create congruent triangles?
Warm-Up: ESTIMATION DAY!!!!
Too high_____
Too low_______
Estimation_______
Reasoning:________________________________________________________________
The figure to the right represents a rotation of △ 𝑨𝑩𝑪 𝟖𝟎° around vertex 𝑪. Name the triangle formed by the image of △
𝑨𝑩𝑪. Write the rotation in function notation, and name all corresponding angles and sides.
Corresponding Angles
Corresponding Sides
4
1. Are the corresponding sides and angles congruent? Justify your response.
Example 2:
Sequence of rigid
motions (2)
Composition in function
notation
Triangle congruence
statement
5
Example 3:
Sequence of rigid
motions (3)
Composition in
function notation
Triangle congruence
statement
Example 4:
Sequence of rigid
motions (2)
A
X
C'
B
Composition in
function notation
C''
Triangle congruence
statement
A'
B'
B''
A''
Y
Example 5:
Sequence of rigid
motions (3)
Composition in
function notation
Triangle congruence
statement
Explain triangle congruence in terms of rigid motions. Use the terms “corresponding sides”
and “corresponding angles” in your explanation.
6
Aim: SWBAT apply the triangle congruence theorem
Warm-Up: Read the following quietly…
7
8
9
10
Aim: SWBAT successfully prove triangles are congruent
using the reflexive property and vertical angles.
Warm-Up: CLOCK BUDDIES
11
12
13
14