Download 4-3 Congruent Triangles Warm Up 1. Name all sides and angles of

4-3 Congruent Triangles
Warm Up
1. Name all sides and angles of ∆FGH.
2. What is true about K and L? Why?
3. What does it mean for two segments to
be congruent?
Holt Geometry
4-3 Congruent Triangles
Geometric figures are congruent if they are the
_______________________.
Corresponding angles and corresponding sides
are in the ____________________in polygons with
an equal number of sides.
Two polygons are congruent polygons if and only if
their corresponding sides are _______________.
Holt Geometry
4-3 Congruent Triangles
Holt Geometry
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4-3 Congruent Triangles
Example 1: Naming Congruent Corresponding Parts
CPCTC - Corresponding Parts of Congruent Triangles are Congruent
Given: ∆PQR  ∆STW
Identify all pairs of corresponding congruent parts.
Angles:
Sides:
Holt Geometry
4-3 Congruent Triangles
Check It Out! Example 2a
Given: ∆ABC  ∆DEF
Find the value of x.
Holt Geometry
4-3 Congruent Triangles
Check It Out! Example 2b
Given: ∆ABC  ∆DEF
Find mF.
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4-3 Congruent Triangles
Check It Out! Example 3
Given: AD bisects BE.
BE bisects AD.
AB  DE, A  D
Prove: ∆ABC  ∆DEC
Holt Geometry
4-3 Congruent Triangles
Statements
Reasons
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Holt Geometry
4-3 Congruent Triangles
Lesson Quiz
1. ∆ABC  ∆JKL and AB = 2x + 12. JK = 4x – 50.
Find x and AB.
Given that polygon MNOP  polygon QRST,
identify the congruent corresponding part.
2. NO  ____
3. T  ____
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