University:
High School
Course:
High School Mathematics
Academic year:

2024
Views:

129

Pages:

2
Author:

Diego Mclaughlin

Proving Triangle Congruence by ASA and AAS Theorem 5.10 Angle-Side-Angle (ASA) Congruence Theorem If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. If LA = LD, AC = DF, Then MBC = and LC = LF., E l':iDEF A-> b y A. A I/:. Theorem 5.11 Angle-Angle-Side (AAS) Congruence Theorem If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, Then the two triangles are congruent. If LA = LD, LC = LFl Then MBC = and BC = EF, l':iDEF by AA� .. _. tlv \ \ ov ✓ i ,"-1....) -1 •'-( L.'•;� (�,,,·t( Extra Practice In Exercises 1-4, decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use. 1. !1GHK, MKH 2. MBC, f:JJEC 'jt..·, '·.,,,� .,;.. H A 8 I / ------ ,,,, 3. MKL, !1MLK 4. MST, !1UVW R A