Question and answer of proving triangle congruence in mathematics of grade one in junior high school</p><p>Let's give an example to prove that many pairs of triangles are congruent.</p><p>Known: ∠ e =

Question and answer of proving triangle congruence in mathematics of grade one in junior high school

Let's give an example to prove that many pairs of triangles are congruent.

Known: ∠ e =

Question and answer of proving triangle congruence in mathematics of grade one in junior high school

Let's give an example to prove that many pairs of triangles are congruent.

Known: ∠ e = ∠ f = 90 ∠ EAC = ∠ FabAE = AF.

1,: Because ∠ E = ∠ F = 90 ∠ EAM = ∠ FAAE = AF? So △EAM is equal to△ norm (ASA).

2. because ∠EAC=∠FAB? So ∠EAC+∠CAB=∠FAB+∠CAB? That is, ∠EAB=∠FAC.

Because? ∠EAB=∠FAC？ ∠E=∠F=90 AE=AF？ So △EAB is equal to △FAC(ASA).

3.AM=AN because △EAM is equal to △ norm? Because △EAB is equal to △FAC? So AB=AC

AB-AN=AC-AM？ So BN=CM and ∠B=∠C? ∠BDN=∠CDM？ So △BDN is equal to triangular CDM? (AAS)

4. Because △EAB is equal to △FAC, AB=AC? Because AM=AN again? ∠BAM=∠CAN, so all triangles BAM are equal to △CAN(SAS).