Question 3 of 4beginner💡 UnderstandShort Answer2 marks

ΔAIR ≅ ΔFLY. Identify the corresponding vertices, sides and angles.

Correct Answer

Given: ΔAIR ≅ ΔFLY

Corresponding vertices: A ↔ F I ↔ L R ↔ Y

Corresponding sides: AI ↔ FL IR ↔ LY AR ↔ FY

Corresponding angles: ∠A ↔ ∠F ∠I ↔ ∠L ∠R ↔ ∠Y

Exercise: Figure it Out (Section 4) | Q: 1 | (Page Page 20)
For More Understanding

Explanation

The chapter establishes that when writing congruence as ΔAIR ≅ ΔFLY, the first vertex of ΔAIR corresponds to the first vertex of ΔFLY, and so on. This convention determines all correspondences: vertices (A↔F, I↔L, R↔Y), sides (AI↔FL, IR↔LY, AR↔FY), and angles (∠A↔∠F, ∠I↔∠L, ∠R↔∠Y).

Solution Steps

  1. Identify the given congruence: ΔAIR ≅ ΔFLY

  2. Match corresponding vertices by position: A↔F, I↔L, R↔Y

  3. Match corresponding sides: AI↔FL, IR↔LY, AR↔FY

  4. Match corresponding angles: ∠A↔∠F, ∠I↔∠L, ∠R↔∠Y

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