Back to Explain similarity transformations — Problem 3 · Task Set 15

Exercises: Define Similarity Using Transformations

Work through each section in order. Show your reasoning where indicated. For problems involving figures, identify corresponding parts before checking ratios or angles.

Grade 9·21 problems·~28 min·Common Core Math - HS Geometry·standard·hsg-srt-a-2

Work through problems with immediate feedback

Fluency Practice

$Two right triangles: triangle ABC with sides 6, 8, 10 and triangle DEF with sides 9, 12, 15$

Triangle $ABC$ has sides $AB = 6$ , $BC = 8$ , $CA = 10$ . Triangle $DEF$ has sides $DE = 9$ , $EF = 12$ , $FD = 15$ . Are the triangles similar?

Yes — all three pairs of corresponding sides are proportional with $k = 1.5$

No — the triangles are different sizes, so they cannot be similar

Yes — but only because they are right triangles

Cannot be determined without knowing the angle measures