Lesson 2Congruent Figures.notebook 1 March 06, 2015 Congruent Figures Two figures are congruent iff: all corresponding angles are congruent all corresponding sides are congruent Example: F D E A F AB FD B D BC ED C E AC FE *order counts*
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Lesson 2Congruent Figures.notebook
1
March 06, 2015
Congruent Figures
Two figures are congruent iff:all corresponding angles are congruentall corresponding sides are congruent
Example:
F
D
E
A F AB FDB D BC EDC E AC FE
*order counts*
Lesson 2Congruent Figures.notebook
2
March 06, 2015
F
D
E
Congruence Statement:
1. Start with the triangle on the LEFT or TOP.
2. Put the FIRST triangle in ALPHABETICAL order.
3. Put the SECOND triangle CORRESPONDING to the FIRST.
ΔABC ΔFDEcongruence statement:
1)
2) 3)
Lesson 2Congruent Figures.notebook
3
March 06, 2015
congruence statement
List pairs of congruentcorresponding parts
Part 1
Part 2
Part 3
Find the value of x.
Find the value of y.
Lesson 2Congruent Figures.notebook
4
March 06, 2015
In the diagram, ABCD KJHL.
1. Find the value of x.
2. Find the value of y.
Lesson 2Congruent Figures.notebook
5
March 06, 2015
Latest News Bulletin:The most popular congruent figures are triangles!
Be sure to remember that in congruent figures, the corresponding parts are also congruent.
When two triangles are congruent, there are 6 facts that are true about the triangles:there are 3 sets of congruent sidesthere are 3 sets of congruent anglesNOTE: the corresponding congruent sides are marked with small line segments called hash marksthe corresponding congruent angles are marked with arcs
Lesson 2Congruent Figures.notebook
6
March 06, 2015
Write a congruence statement for the triangles below. Identify all pairs of congruent corresponding parts.
Lesson 2Congruent Figures.notebook
7
March 06, 2015
Third Angle Theorem:If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the third angles are congruent.
If and
then
Lesson 2Congruent Figures.notebook
8
March 06, 2015
Find the value of x.
Lesson 2Congruent Figures.notebook
9
March 06, 2015
Find the value of x.
Lesson 2Congruent Figures.notebook
10
March 06, 2015
Can you conclude the triangles are congruent? How?
l l
ll ll
A
B C D
Lesson 2Congruent Figures.notebook
11
March 06, 2015
Are these two triangles congruent? How do you know?
l
ll
lll
AB
C
DE
l
ll
lll
Lesson 2Congruent Figures.notebook
12
March 06, 2015
Classwork/Homework
Worksheet
Related Documents
