Asked by puyr

Vertex F is located at left parenthesis negative 5 comma 5 right parenthesis, vertex G is located at left parenthesis negative 2 comma 3 right parenthesis, and vertex H is located at left parenthesis negative 5 comma 1 right parenthesis. Vertex J is located at left parenthesis 4 comma negative 5 right parenthesis, vertex K is located at left parenthesis 9 comma negative 4 right parenthesis, and vertex I is located at left parenthesis 9 comma negative 8 right parenthesis. The x-axis is labeled from negative 7 to 10 in increments of 1. The y-axis is labeled from negative 9 to 8 in increments of 1.


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 4 comma negative 5 right parenthesis , the triangles would be similar.

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 sides are proportional.
Yes. All sides are proportional.

Yes. All angles are congruent.

All Answers 1

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

Reason: In ΔFGH, FG = GH = sqrt(13) and FH = 4. With J at (6, −6), IJ = JK = sqrt(13) and KI = 4, so the side lengths would match (hence the triangles would be similar/congruent). Currently the side lengths are not proportional, so they are not similar.