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Symmetry (Including Reflection and Rotation) — Flashcards

ICSE · Class 8 · Mathematics

30 flashcards for Symmetry (Including Reflection and Rotation) (ICSE Class 8 Mathematics) to test yourself on key terms and facts.

47 questions30 flashcards5 formulas & key relations5 concepts

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30 Flashcards·
Linear symmetryLine of symmetryReflection in x-axisReflection in y-axis
Card 1Linear symmetry

A plane figure is folded about a line on it and the two parts exactly coincide. What is this property called?

Answer

Step 1: Check what happens on folding the figure. Step 2: If both parts exactly coincide, the figure has symmetry. Answer: A plane figure is said to have symmetry, also called linear symmetry.

Card 2Line of symmetry

A figure is symmetrical about a line. What is that line called?

Answer

The line about which the figure is symmetrical is called a line of symmetry, an axis of symmetry, or simply a mirror line.

Card 3Reflection in x-axis

When a point P(x, y) is reflected in the x-axis, what is the image point? Give the formula and one example using P(4, 7).

Answer

Formula: Reflection in x-axis: P(x, y) → P'(x, -y) Step 1: Keep x the same. Step 2: Change the sign of y. For P(4, 7), the image is P'(4, -7). Answer: P'(x, -y), so P(4, 7) becomes (4, -7).

Card 4Reflection in x-axis

Find the reflection of the point (-6, 9) in the x-axis.

Answer

Step 1: Use the rule for reflection in x-axis: P(x, y) → P'(x, -y) Step 2: Keep x = -6 the same. Step 3: Change 9 to -9. Answer: (-6, -9)…

Card 5Reflection in x-axis

Find the reflection of the point (8, -5) in the x-axis.

Answer

Step 1: Use P(x, y) → P'(x, -y) Step 2: Keep x = 8 the same. Step 3: Change -5 to 5. Answer: (8, 5)…

Card 6Reflection in y-axis

When a point P(x, y) is reflected in the y-axis, what changes? Use P(-3, 11) as an example.

Answer

Formula: Reflection in y-axis: P(x, y) → P'(-x, y) Step 1: Change the sign of x. Step 2: Keep y the same. For P(-3, 11), the image is P'(3, 11). Answer: Only the x-coordinate changes sign.

Card 7Reflection in y-axis

Find the reflection of the point (7, -4) in the y-axis.

Answer

Step 1: Use P(x, y) → P'(-x, y) Step 2: Change 7 to -7. Step 3: Keep -4 the same. Answer: (-7, -4)…

Card 8Reflection in y-axis

Find the reflection of the point (0, 9) in the y-axis.

Answer

Step 1: Use P(x, y) → P'(-x, y) Step 2: Change the sign of x. Step 3: Since x = 0, the point stays on the y-axis. Answer: (0, 9)…

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Frequently Asked Questions

What are the important topics in Symmetry (Including Reflection and Rotation) for ICSE Class 8 Mathematics?
Key topics in Symmetry (Including Reflection and Rotation) include Symmetry and Line of Symmetry, Symmetry in Common Figures, Reflection of a Point in Coordinate Axes and Origin, Rotation About the Origin. Study these first, then practise questions on each for Class 8 exams.
How many flashcards are available for Symmetry (Including Reflection and Rotation)?
There are 30 flashcards for Symmetry (Including Reflection and Rotation) covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Symmetry (Including Reflection and Rotation) for Class 8 exams?
Learn the core ideas first, then work through the 47 practice questions on Symmetry (Including Reflection and Rotation). 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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