two figures are congruent · lesson 2congruent figures.notebook 5 march 06, 2015 latest news...
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![Page 1: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/1.jpg)
Lesson 2Congruent Figures.notebook
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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*
![Page 2: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/2.jpg)
Lesson 2Congruent Figures.notebook
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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)
![Page 3: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/3.jpg)
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congruence statement
List pairs of congruentcorresponding parts
Part 1
Part 2
Part 3
Find the value of x.
Find the value of y.
![Page 4: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/4.jpg)
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In the diagram, ABCD KJHL.
1. Find the value of x.
2. Find the value of y.
![Page 5: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/5.jpg)
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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
![Page 6: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/6.jpg)
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Write a congruence statement for the triangles below. Identify all pairs of congruent corresponding parts.
![Page 7: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/7.jpg)
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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
![Page 8: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/8.jpg)
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Find the value of x.
![Page 9: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/9.jpg)
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Find the value of x.
![Page 10: Two figures are congruent · Lesson 2Congruent Figures.notebook 5 March 06, 2015 Latest News Bulletin: The most popular congruent figures are triangles! Be sure to remember that in](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9c908469e43d0ad50e0fa2/html5/thumbnails/10.jpg)
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Can you conclude the triangles are congruent? How?
l l
ll ll
A
B C D
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Are these two triangles congruent? How do you know?
l
ll
lll
AB
C
DE
l
ll
lll
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Classwork/Homework
Worksheet