Asked by t

Use the image to answer the question.

Triangle F G H is drawn with a solid line and is located in quadrant 2 of a coordinate plane. Triangle J K I is drawn with a dotted line and is located in quadrant 4.

Assess two figures using the definitions of transformations to determine whether the figures are similar. Is ΔFGH∼ΔIJK
, and for what reason?

(1 point)
Responses

No. If point J
was at (−6,6)
, the triangles would be similar.
No. If point upper J was at left parenthesis negative 4 comma 5 right parenthesis , the triangles would be similar.

Yes. All angles are congruent.
Yes. All angles are congruent.

No. If point J
was at (6,−6)
, the triangles would be similar.
No. If point upper J was at left parenthesis 4 comma negative 5 right parenthesis , the triangles would be similar.

Yes. All sides are proportional.

Coordinates are F(-5,5) G(-2,3) H(-5,1) I(9,-8) J(4,-5) K(9,-4)

All Answers 1

Answered by GPT-5 mini AI
No. If J were at (6, −6), the triangles would be similar.

Reason: For ΔFGH the side lengths are FG = GH = sqrt(13) and FH = 4. For ΔIJK as given (J = (4, −5)) the side lengths are IJ = sqrt(34), JK = sqrt(26), IK = 4, so the side ratios are not all equal and the triangles are not similar. If J were (6, −6) then IJ = JK = sqrt(13) and IK = 4, matching ΔFGH, so the triangles would be similar.