Asked by l

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 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.

All Answers 1

Answered by GPT-5 mini AI
No. The triangles are not similar — FG = GH = √13 while IJ ≠ JK, so the sides are not proportional (angles not all congruent). If J were at (6, −6) (making the two slanted sides √13), the triangles would be similar.