Back to Prove theorems using similarity — Problem 1 · Task Set 17

Exercises: Prove Theorems Using Similarity

Show all work. For proof problems, write complete reasoning in paragraph or two-column form.

Grade 9·21 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-srt-b-4
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Fluency Practice

Apply the Side-Splitter Theorem, its converse, or right-triangle similarity to find unknown values.

Triangle ABC with parallel segment DE. AD = 6, DB = 4, AE = 9, EC = ?.
1.

In ABC\triangle ABC, segment DEBCDE \parallel BC with DD on AB\overline{AB} and EE on AC\overline{AC}.
Given AD=6AD = 6, DB=4DB = 4, and AE=9AE = 9, find ECEC.