Question

f a translation maps ∠1 onto ∠K which of the following statements is true? HI=2JK △GHI∼△GJK GH=2GJ ∠G≅∠K

Answer 1

If a translation maps ∠1 onto ∠K, the correct statement is ∠G ≅ ∠K.

Step-by-step explanation:

A translation is a type of transformation that moves every point of a figure a certain distance in a given direction.

If a translation maps ∠1 onto ∠K, it means that the translation moves ∠1 to the position of ∠K.

Therefore, the correct statement is ∠G ≅ ∠K, which means that angle G is congruent to angle K.

Answer 2

If as given in the image, that a triangle translation maps ∠1 onto ∠K, then the option that is TRUE is option B. That is ΔGHI is similiar to Δ GJK.

A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be thought of as adding a constant vector to each point or changing the coordinate system's origin.

Since ΔI is translated to ΔK then two are comparable. This is because implies the translation is merely a shift, with the proportional connections preserved. Similar triangles have proportionate sides and equal corresponding angles.

The form and angles of the triangles stay same throughout translation, although the size might vary. The resemblance is due to the retention of angles after translation.

Hence, ΔGHI ~ Δ GJK.

Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.