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\( \triangle A B C \) is located in Quadrant I. Point \( A \) is 5 units to the right of the line of reflection. If \( \triangle A^{\prime} B^{\prime} C^{\prime} \) is the image created by reflection, where is \( A^{\prime} \) relative to the line of reflection? A. 0 units away, directly on the line of reflection B. 2.5 units to the left C. 5 units to the left D. 10 units to the right Please select the best answer from the choices provided A O B

Ask by Santiago Pollard. in the United States
Feb 04,2025

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\( A' \) is 5 units to the left of the line of reflection.

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When point \( A \) is 5 units to the right of the line of reflection, its reflection \( A^{\prime} \) will be located an equal distance from the line on the opposite side. Therefore, \( A^{\prime} \) will be positioned 5 units to the left of the line of reflection. The best answer is C. 5 units to the left. Also, this concept of reflection is often illustrated in geometry using symmetry, where each point's reflection is equidistant on either side of a line, creating a mirror-like effect. This principle not only applies to triangles but to various geometric shapes, allowing for fascinating explorations of symmetry in art and design! Additionally, reflections can be used in real-world applications, such as designing roadways or waterways where clear mirror images help in planning. Architects also consider reflections when designing buildings, ensuring aesthetics and functionality align seamlessly using reflective surfaces and aligned features!

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