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Reflection — Flashcards

ICSE · Class 10 · Mathematics

24 flashcards for Reflection (ICSE Class 10 Mathematics) to test yourself on key terms and facts. Sample: "Solve: Find the reflection of P(4, 5)"

36 questions24 flashcards4 formulas & key relations5 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·
Reflection in X-axisReflection in Y-axisReflection in OriginReflection in line y = aReflection in line x = a
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?
Key topics in Reflection include Cartesian System and Coordinates, Reflection and Axis of Reflection, Reflection in a Line Parallel to X-axis, Reflection in a Line Parallel to Y-axis. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many flashcards are available for Reflection?
There are 24 flashcards for Reflection covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Reflection for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 36 practice questions on Reflection. Revise definitions regularly and use flashcards for quick recall before the exam.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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