Congruent Triangles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra.

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Presentation transcript:

Congruent Triangles Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra

Let’s Recall our Congruent Polygons

Two congruent polygons have the same size and same shape! The  ’s & sides of MATH are congruent with the  ’s & sides of QUIZ. A M H T MA = QU  M   Q AT = UI  A   U TH = IZ  T   I HM = ZQ  H   Z U Q Z I

Congruent Triangles: DEFINITION The same applies for Congruent Triangles! Two triangles are congruent if… there is a one-to-one correspondence between the vertices of the triangles such that corresponding sides are congruent and corresponding angles are congruent.

Congruent Triangles: DEFINITION Which triangles are congruent ?

Congruent Triangles: DEFINITION Which triangles are congruent ?

Congruent Triangles: DEFINITION Which triangles are congruent ?

NAME OF TRIANGLE PARTS GIVEN CONGRUENT? CONJECTURE VAL TIN NAT PAM LEN SOL Angle – Side – Angle Side – Angle – Angle  sometimes  sometimes SSS Congruence Conjecture SAS Congruence Conjecture ASA Congruence Conjecture SAA Congruence Conjecture Side – Angle – Side Side – Side – Angle Angle – Angle – Angle Side – Side – Side Included angle: angle between 2 sides of a 

Triangle Congruence Conjectures Cong. Conj.

Triangle Congruence Conjectures Cong. Conj.

Triangle Congruence Conjectures Cong. Conj.

Triangle Congruence Conjectures Cong. Conj.

TAKE NOTE! TRIANGLES ARE NOT NECESSARILY CONGRUENT if the correspondence is…

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following:

Book Exercises p. 229 Answer the following: Which conjectures justifies that…

Book Exercises p. 229 Answer the following: Which conjectures justifies that…

Book Exercises p. 229 Answer the following: Which conjectures justifies that…

Book Exercises p. 229 Answer the following: Which conjectures justifies that…

Book Exercises p. 224 Answer the following:

Book Exercises p. 224 Answer the following: