Question

If a translation maps ∠I onto ∠K, which of the following statements is true?

Triangles HGI and JGK; point H is between points J and G on segment JG, and point I is between points G and K on segment GK.

segment HI = 2 segment JK
ΔGHI ~ ΔGJK
segment GH = 2 segment GJ
∠G ≅ ∠K

Answer 1

The translation of ∠I onto ∠K implies shifting of point I to point K

The true statement is (b) ΔGHI ~ ΔGJK

How to determine the true statement?

The translation is given as:

∠I onto ∠K,

The triangles are given as:

Triangles HGI and JGK

The figure is not given.

However, the above translation could mean that the triangles are similar if and only if other angles are mapped to their corresponding angles

Hence, the true statement is (b) ΔGHI ~ ΔGJK

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