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If a translation maps (angle) I onto (Angle) K, which of the following statements is true?


A) line HI = line 2JK

B) Triangle GHI ~ Triangle GJK

C) Line GH = line 2GJ

D) Angle G =~(congruent) =~ Angle K

If a translation maps angle I onto Angle K which of the following statements is trueA line HI line 2JKB Triangle GHI Triangle GJKC Line GH line 2GJD Angle G con class=

Respuesta :

mysticchacha

Answer:

Definitely the statement : Triangle GHI ~ Triangle GJK  by AA similarity

choice B.)

Step-by-step explanation:

We are given that angle GIH  = angle GKJ  because of a mapping of angle I onto angle K

1.) angle G = angle G   1.)  Reflexive Property of equality.

2.) angle I  = angle K   2.) Given

3.) triangle GIH ~ triangle GKJ  3.)  AA Similarity Postulate

...

It would also follow that line HI  is parallel to line JK  by Corresponding Angles Theorem and definition.

The only choice here is choice B.)

The line segment [tex]\overline{HI}[/tex] in the figure forms the triangle GHI, that has a

common vertex with triangle GJK.

The statement which is true in from the options is; B) Triangle GHI ~ Triangle GJK.

Reasons:

The triangles in the given figure are;

ΔGHI inscribed in ΔGJK

The given transformation applied to angle I = Translation

The image of ∠I following the translation = ∠K

Given that a translation is a rigid transformation, we have;

∠I before the transformation = ∠K

Therefore;

∠I ≅ ∠K by definition of congruency

∠G ≅ ∠G by reflexive property

Therefore;

ΔGHI is similar to ΔGJK by Angle-Angle, AA similarity postulate

The true statement is Triangle GHI ~ Triangle GJK

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https://brainly.com/question/4032149

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