Question

Triangles a b c and d b c share common side b c. sides a c and c d are congruent. in order to prove △abc ≅ △dbc by sas, what additional information must be given? ∠abc ≅ ∠dbc ab ≅ db ∠acb ≅ ∠dcb bc ≅ bc

Answer 1

C

Explanation:

Answer 2

(c) ∠acb ≅ ∠dcb

Explanation:

You want to know what additional information is required to show ∆abc ≅ ∆dbc by SAS, given ac ≅ dc.

SAS

This postulate tells you triangles are congruent if two corresponding sides are congruent, and the angles between them are congruent.

In the given geometry, the corresponding sides are given as congruent, so the additional information required is that the angles between them are congruent.

The angle between sides ac and bc is ∠acb.

The angle between sides dc and bc is ∠dbc.

The additional information required is ...

∠acb ≅ ∠dcb . . . . . matches choice C

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