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Congruence in Overlapping Triangles – Practice 01

1. Which theorem can be used to show \triangle ABC \cong \triangle DCB?
2. What property proves \angle A \cong \angle A?
3. Given \angle D \cong \angle E and \overline{AD} \cong \overline{AE}, which theorem can be used to prove \triangle ADC \cong \triangle AEB?
4. Which of the following relations is true?
5. Which theorem can be used to prove \triangle ABC \cong \triangle DCB? Given: \overline{AB} \cong \overline{DC}
6. Given: \overline{AB} \cong \overline{AC}, what postulate will prove \triangle BAE \cong \triangle CAB?
7. Which theorem proves \overline{AB} \cong \overline{DC}?
8. Which theorem proves \triangle ACD \cong \triangle CAB?
9. Given \angle ABC \cong \angle DCB and \angle ACB \cong \angle DBC, which theorem proves \triangle ABC \cong \triangle DCB?
10. Given \overline{AB} \cong \overline{AD} and \angle ABC \cong \angle ADE, which theorem proves \triangle BEF \cong \triangle DCF?

 

 

 

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