Back to Use congruence and similarity to solve — Problem 3 · 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

Warm-Up: Review What You Know

These problems review skills you already know.

$Triangle ABC with segment DE parallel to BC, creating smaller triangle ADE inside triangle ABC.$

In the diagram, $DE \parallel BC$ with $D$ on $\overline{AB}$ and $E$ on $\overline{AC}$ . Which similarity criterion proves $\triangle ADE \sim \triangle ABC$ ?

SSS — three pairs of proportional sides

SAS~ — two proportional sides and the included angle

AA — two pairs of congruent angles

SSA — two sides and a non-included angle