Question

If a translation maps ∠1 onto ∠ K which of the following statements is true? overline HI=2overline JK Delta GHIsim Delta GJK overline GH=2overline GJ ∠ G≌ ∠ K

Answer 1

A translation that maps ∠1 onto ∠K means that the angles are congruent, so ∠G≅∠K is the true statement. Translations do not alter angle sizes, therefore other measurements and proportional relationships are not implied solely by the translation.

Step-by-step explanation:

If a translation maps ∠1 onto ∠K, and we're trying to discern which statement is true based on this information, we need to recall that a translation in geometry is a transformation that slides every point of a figure the same distance in the same direction. A translation does not affect the size or shape of a figure; it only moves the figure on the plane.

The correct statement is that ∠G≅∠K. This is because a translation preserves angle measures, meaning if ∠1 is mapped onto ∠K, then these angles are congruent, which is denoted by the symbol ≅. None of the other options are inherently true based on the information given that ∠1 maps onto ∠K.