AAS (Angle-Angle-Side) Congruence
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Problems 13
- What additional information is required for these triangles to be congruent by AAS?
- What additional information is required for these triangles to be congruent by AAS?
- Are these two triangles congruent by AAS? Why or why not?
- Which of these figures (if any) have triangles with AAS congruence?
- Which of these figures (if any) have triangles with AAS congruence?
- Which of these figures (if any) have triangles with AAS congruence?
- Triangle ABC has AB‾=10,∠A=82∘,\overline{AB}=10, \angle A=82^{\circ},AB=10,∠A=82∘, and ∠C=34∘\angle C=34^{\circ}∠C=34∘. Triangle DEF has DE‾=10,∠D=82∘,\overline{DE}=10, \angle D…
- Triangle ABC has AB‾=40,∠A=43∘,\overline{AB}=40, \angle A=43^{\circ},AB=40,∠A=43∘, and ∠C=47∘\angle C=47^{\circ}∠C=47∘. Triangle DEF has DE‾=40\overline{DE}=40DE=40 and ∠B=90∘\a…
- Triangle ABC has AB‾=12,∠A=45∘,\overline{AB}=12, \angle A=45^{\circ},AB=12,∠A=45∘, and ∠C=45∘\angle C=45^{\circ}∠C=45∘. Triangle DEF has DE‾=12,∠D=45∘,\overline{DE}=12, \angle D…
- Triangle ABC has AB‾=16,∠A=60∘,\overline{AB}=16, \angle A=60^{\circ},AB=16,∠A=60∘, and ∠B=60∘\angle B=60^{\circ}∠B=60∘. Triangle DEF has EF‾=16,∠E=60∘,\overline{EF}=16, \angle E…
- Triangle ABC has BC‾=24,∠B=30∘,\overline{BC}=24, \angle B=30^{\circ},BC=24,∠B=30∘, and ∠C=60∘\angle C=60^{\circ}∠C=60∘. Triangle DEF has DF‾=12,∠E=30∘,\overline{DF}=12, \angle E…
- Triangle ABC has AB‾=15,∠B=16∘,\overline{AB}=15, \angle B=16^{\circ},AB=15,∠B=16∘, and ∠C=55∘\angle C=55^{\circ}∠C=55∘. Triangle DEF has DE‾=15,∠E=16∘,\overline{DE}=15, \angle E…
- Which of the following methods can you use to prove △ADE≅△FDE\triangle ADE \cong \triangle FDE△ADE≅△FDE? The methods not only have to be valid in general, it should also be vali…