Question

triangle ghj is rotated 90° about point x, resulting in triangle str. which congruency statement is true? tr ≅ gj, ∠r ≅ ∠g, ts ≅ hg, ∠s ≅ ∠h

Explanation:

Step1: Rotation preserves congruence

Rotation is a rigid transformation, so original and rotated triangles are congruent.

Step2: Identify corresponding parts

Triangle GIJ rotated to STR implies corresponding vertices: G↔S, I↔T, J↔R. Thus, corresponding sides/angles are congruent.

Step3: Evaluate options

Assuming options include "TS ≅ HG", TS (ST) corresponds to GI, but if HG is a side of GIJ, rotation preserves length, making TS ≅ HG.

Answer:

TS ≅ HG