4.1 GeoH Definition of Congruent Triangles.notebook
October 26, 2015
Congruence is...
when two figures have the exact same shape and size.
4.1 Definition of Congruent Triangles
I CAN...
Use the definition of congruence to find corresponding parts of congruent triangles
Use congruent triangles to solve for missing measures Corresponding Parts are...
matching parts of two figures, including corresponding angles and corresponding sides.
Jul 30­10:36 AM
Definition of Congruent Polygons
Two polygons are congruent if and only if their corresponding parts are congruent.
Jul 30­10:36 AM
Matching up Corresponding Parts
Angles
Sides
K
CPCTC:
Corresponding Parts of Congruent Triangles are Congruent.
A
H
J
≅
≅
≅
≅
≅
≅
B
C
Congruence Statement
≅
Jul 30­10:36 AM
Jul 30­10:36 AM
If ΔITP ≅ ΔNGO, which corresponding
parts are congruent? Solve for x and y. Oct 16­8:42 AM
Jul 30­10:36 AM
1
4.1 GeoH Definition of Congruent Triangles.notebook
If ΔFHJ ≅ ΔHFG, which corresponding parts are congruent? Solve for x and y.
October 26, 2015
Third Angles Theorem
If ∠C ≅ ∠K, and ∠B ≅ ∠J, then ∠A ≅ ∠L.
J
K
B
A
L
C
Jul 30­10:36 AM
A drawing of a tile contains a series of triangles, rectangles, squares, and a circle.
If ΔKLM ≅ ΔNJL, ∠KLM ≅ ∠KML and m∠KML = 47.5 , find m∠LNJ. Jul 30­10:36 AM
Reflexive Property ΔABC ≅ ΔABC
Symmetric Property If ΔABC ≅ ΔEFG, then ΔEFG ≅ ΔABC
Transitive Property If ΔABC ≅ ΔEFG and ΔEFG ≅ ΔJKL, then ΔABC≅ ΔJKL
Jul 30­10:36 AM
Solve for x and y.
Jul 30­10:36 AM
Jul 30­10:36 AM
Solve for x and y.
Jul 30­10:36 AM
2