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Similar Triangles (Set 2) Worksheet

Geometry Math · printable worksheet (PDF) with answer key · 14 problems · CCSS HSG.SRT.A.2, HSG.SRT.A.3

A printable geometry similar triangles (set 2) practice worksheet with 14 problems and a complete, step-by-step answer key — formatted to print cleanly on standard paper. Included in the one-time $20 unlock for the full NudgeLearn library.

Sample problems

Two triangles are similar when their matching angles are equal and their matching sides are proportional. By the Angle-Angle (AA) shortcut, two pairs of equal angles are enough to prove similarity. Once triangles are similar, set up a proportion of matching sides to find a missing length. Keep answers exact.

1. Two triangles each have angles measuring $4 8^{\circ}$ and $6 2^{\circ}$ . Must the triangles be similar? Explain in one sentence.
2. Triangle $G H J$ has angles $9 0^{\circ}$ and $3 3^{\circ}$ . Triangle $K L M$ has angles $5 7^{\circ}$ and $9 0^{\circ}$ . Are the triangles similar? Explain.
3. Two similar triangles have matching sides of $6$ and $18$ . What is the scale factor from the smaller triangle to the larger one?
4. The two triangles are similar. Find the value of $x$ using matching sides.

Plus 10 more problems and a full answer key in the PDF.

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