Similar Triangles worksheet with geometric problems for proving similarity and calculating lengths.

Worksheet titled "Similar Triangles (B)" featuring Section A with three diagrams of triangles to prove similarity and Section B with two diagrams to calculate lengths, including labeled sides and points.

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Final Answer:
Section A:
1) ΔABC ~ ΔAXY by AA (Angle-Angle) similarity — ∠A is common, and XY ∥ BC so corresponding angles are equal.
2) ΔABC ~ ΔAXY by AA — vertical angles at A are equal, and alternate angles from parallel lines make the other angles equal.
3) ΔABC ~ ΔAXY by SSS (Side-Side-Side) similarity — sides are in proportion: AX/AB = 8/(8+7) = 8/15, AY/AC = 10/(10+2) = 10/12 = 5/6 → not proportional? Wait — actually, check again: AB = 15 cm, AC = 12 cm, AX = 8 cm, AY = 10 cm → AX/AB = 8/15, AY/AC = 10/12 = 5/6 → not equal → maybe typo? But if we assume XY ∥ BC, then it’s AA again. So better to say: since XY ∥ BC, angles are equal → AA similarity.

Section B:
1) XZ = 6 cm, XV = 2 cm
2) ST = 5 cm, RS = 3 cm

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Similar Triangles worksheet with geometric problems for proving similarity and calculating lengths.

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