Question

using congruence theorems
given: ∠fhg and ∠kjg are right angles;
fh ≅ kj
prove: △fgh ≅ △kgj

1. we know that ∠fhg ≅ ∠kjg

because all right angles are congruent.

1. we know that ∠fgh ≅ ∠kgj

because they are dropdown angles.
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image of triangles fgh and kgj with right angles at h and j, and fh ≅ kj

Explanation:

Step1: Identify Angle Relationship

∠FGH and ∠KGJ are formed by the intersection of lines (or rays) at point G, so they are vertical angles. Vertical angles are congruent.

Step2: Confirm the Type

Since ∠FGH and ∠KGJ are vertical angles, the reason is "vertical" (as vertical angles are congruent).

Answer:

vertical