Asked by yo mama

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
Δ
𝐹
𝐺
𝐻
∼
Δ
𝐼
𝐽
𝐾
, and for what reason?

(1 point)
Responses

No. If point J
𝐽
was at (−6,6)
(
−
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.

No. If point J
𝐽
was at (6,−6)
(
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 angles are congruent.

All Answers 1

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

Reason: As given, corresponding side lengths are not proportional (FG = GH = sqrt(13) and FH = 4, while IJK has side lengths 4, sqrt(26), sqrt(34)), so ΔFGH ≁ ΔIJK. If J were (6, −6), IJK would have side lengths sqrt(13), sqrt(13), and 4, matching ΔFGH (congruent), so they would be similar.