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Reflection

ICSE · Class 10 · Mathematics

Flashcards for Reflection — ICSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

36 questions24 flashcards5 concepts

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A labeled diagram showing the XOX' and YOY' axes, origin, and four quadrants in a Cartesian coordinate system.
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24 Flashcards
Card 1Reflection in X-axis

Solve: Find the reflection of P(4, 5) in the x-axis.

Answer

Step 1: Use the reflection rule in the x-axis: M_x(x,y) = (x,-y). Step 2: Substitute x = 4 and y = 5. Step 3: P' = (4,-5). Answer: (4,-5)…

Card 2Reflection in Y-axis

Solve: Find the reflection of P(-3, 7) in the y-axis.

Answer

Step 1: Use the reflection rule in the y-axis: M_y(x,y) = (-x,y). Step 2: Substitute x = -3 and y = 7. Step 3: P' = (3,7). Answer: (3,7)…

Card 3Reflection in Origin

Solve: Find the reflection of P(2, 3) in the origin.

Answer

Step 1: Use the reflection rule in the origin: M_0(x,y) = (-x,-y). Step 2: Substitute x = 2 and y = 3. Step 3: P' = (-2,-3). Answer: (-2,-3)…

Card 4Reflection in line y = a

Solve: Find the reflection of P(4, 5) in the line y = 2.

Answer

Step 1: Use the formula for reflection in y = a: (x,y) -> (x,-y+2a). Step 2: Here, a = 2, x = 4, y = 5. Step 3: New point = (4, -5 + 2×2) = (4, -1). Answer: (4,-1)…

Card 5Reflection in line y = a

Solve: Find the reflection of P(-2, -3) in the line y = 2.

Answer

Step 1: Use (x,y) -> (x,-y+2a). Step 2: Here, a = 2, x = -2, y = -3. Step 3: New point = (-2, -(-3) + 2×2) = (-2, 3 + 4) = (-2,7). Answer: (-2,7)…

Card 6Reflection in line y = a

Solve: Find the reflection of P(3, 4) in the line y = -1.

Answer

Step 1: Use (x,y) -> (x,-y+2a). Step 2: Here, a = -1, x = 3, y = 4. Step 3: New point = (3, -4 + 2×(-1)) = (3, -4 - 2) = (3,-6). Answer: (3,-6)…

Card 7Reflection in line x = a

Solve: Find the reflection of P(-3, -4) in the line x = 2.

Answer

Step 1: Use the formula for reflection in x = a: (x,y) -> (-x+2a, y). Step 2: Here, a = 2, x = -3, y = -4. Step 3: New point = (-(-3) + 2×2, -4) = (3 + 4, -4) = (7,-4). Answer: (7,-4)…

Card 8Reflection in line x = a

Solve: Find the reflection of P(2, 5) in the line x = -1.

Answer

Step 1: Use (x,y) -> (-x+2a, y). Step 2: Here, a = -1, x = 2, y = 5. Step 3: New point = (-2 + 2×(-1), 5) = (-2 - 2, 5) = (-4,5). Answer: (-4,5)…

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Frequently Asked Questions

What are the important topics in Reflection for ICSE Class 10 Mathematics?
Reflection covers several key topics that are frequently asked in ICSE Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Reflection — ICSE Class 10 Mathematics?
Understand the core concepts first, then work through the 36 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Reflection?
There are 24 flashcards for Reflection covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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