Back to Use congruence and similarity to solve — Problem 4 · Task Set 18

Exercises: Apply Similarity and Congruence to Solve Problems

Work through each section in order. For proof problems, state the criterion used (SSS, SAS, ASA, AAS, AA, SAS~, SSS~) and identify CPCTC steps explicitly. Show all work for computation problems.

Grade 9·22 problems·~30 min·Common Core Math - HS Geometry·standard·hsg-srt-b-5

Work through problems with immediate feedback

Fluency Practice

Apply congruence or similarity criteria directly. State the criterion used.

In $\triangle ABC$ , point $D$ is on $\overline{AB}$ and point $E$ is on $\overline{AC}$ such that $DE \parallel BC$ . Given $AD = 8$ , $DB = 4$ , and $AE = 12$ , find $EC$ .