Back to Prove theorems about triangles — Problem 2 · Task Set 10

Exercises: Prove Theorems About Triangles

Work through each section in order. Show your reasoning for proof-based problems.

Grade 9·21 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-co-c-10
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Warm-Up: Review What You Know

These problems review skills you already have.

1.

Triangle ABCABC has AB=ACAB = AC. An angle bisector is drawn from AA to point DD on BC\overline{BC}. Which congruence criterion proves ABDACD\triangle ABD \cong \triangle ACD?