Prove triangles are congruent

Maths

Opposite angles in a parallelogram are equal

Opposite lengths in a parallelogram are equal

Opposite lengths in a parallelogram are parallel

ABCD is a parallelogram. Select the working that proves triangles ABC and BCD are congruent using the SSS conditions. Choose all that apply.

∠ABD = ∠BDC and ∠ADB = ∠DBC as alternate angles are equal. AD = BC (opposite angles equal)

∠ABD = ∠BDC and ∠ADB = ∠DBC as alternate angles are equal. BD is a shared side.

AB = DC and AD = BC as opposite lengths in a parallelogram are equal. ∠DAB = ∠BCD

BD is a shared side. AB = DC. ∠ABD = ∠BDC as alternate angles are equal.

ABCD is a parallelogram. Select the working that proves triangles ABC and BCD are congruent using the ASA conditions. Choose all that apply

∠ABD = ∠BDC and ∠ADB = ∠DBC as alternate angles are equal. AD=BC.

∠ABD = ∠BDC and ∠ADB=∠DBC as alternate angles are equal. BD is a shared side.

AB=DC and AD=BC and ∠DAB = ∠BCD (opposite lengths in a parallelogram are equal)

BD is a shared side. AB=DC. ∠ABD=∠BDC as alternate angles are equal.

ABCD is a parallelogram. Select the working that proves triangles ABC and BCD are congruent using the SAS conditions. Choose all that apply.