H' 6 5 4 F¹3+ 2- ∙G₁ G 2 -6-5-4-3-2-11 1 2 3 4 3- F 4 5- 6 TH 5 B X Quinton tried to transform triangle FGH according to the rule (x,y) →→→ (-y, x). Which best describes his attempt? Correct. He transformed the triangle according to the rule (x, y)→→ (-y, x). Incorrect. He transformed the triangle according to the rule (x,y) → (y, -x) Incorrect. He transformed the triangle according to the rule (x, y)→→ (-y, -x) Incorrect. He transformed the triangle according to the rule (x, y)→→ (-x, -y)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1). Quinton tried to transform triangle FGH according to the rule (x, y) → (–y, x). Which best describes his attempt? Correct. He transformed the triangle according to the rule (x, y) → (–y, x). Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–x, –y)
**Quinton's Triangle Transformation**

On a coordinate plane, two triangles are plotted. The original triangle, labeled as FGH, has vertices at points F (4, 2), G (2, 1), and H (5, 5). After transformation, the new triangle, labeled as F’G’H’, has vertices at F’(-2, 4), G’(-1, 2), and H’(-5, 5).

**Question:**
Quinton tried to transform triangle FGH according to the rule \((x, y) \rightarrow (-y, x)\). Which best describes his attempt?

**Choices:**
- ( ) Correct. He transformed the triangle according to the rule \((x, y) \rightarrow (-y, x)\).
- ( ) Incorrect. He transformed the triangle according to the rule \((x, y) \rightarrow (y, -x)\).
- ( ) Incorrect. He transformed the triangle according to the rule \((x, y) \rightarrow (-y, -x)\).
- ( ) Incorrect. He transformed the triangle according to the rule \((x, y) \rightarrow (-x, -y)\).
Transcribed Image Text:**Quinton's Triangle Transformation** On a coordinate plane, two triangles are plotted. The original triangle, labeled as FGH, has vertices at points F (4, 2), G (2, 1), and H (5, 5). After transformation, the new triangle, labeled as F’G’H’, has vertices at F’(-2, 4), G’(-1, 2), and H’(-5, 5). **Question:** Quinton tried to transform triangle FGH according to the rule \((x, y) \rightarrow (-y, x)\). Which best describes his attempt? **Choices:** - ( ) Correct. He transformed the triangle according to the rule \((x, y) \rightarrow (-y, x)\). - ( ) Incorrect. He transformed the triangle according to the rule \((x, y) \rightarrow (y, -x)\). - ( ) Incorrect. He transformed the triangle according to the rule \((x, y) \rightarrow (-y, -x)\). - ( ) Incorrect. He transformed the triangle according to the rule \((x, y) \rightarrow (-x, -y)\).
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