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Lesson 2Congruent Figures.notebook
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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*
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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)
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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.
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In the diagram, ABCD KJHL.
1. Find the value of x.
2. Find the value of y.
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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
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Write a congruence statement for the triangles below. Identify all pairs of congruent corresponding parts.
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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
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Find the value of x.
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Find the value of x.
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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
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