alleryThe mirror is x = 0. Where does point (3, −2) land?
- (3, −2)
- (3, 2)
- (−3, 2)
- (−3, −2)
Show answer and solution
Correct answer: D. (−3, −2)
Reflection in x=0 reverses the x-coordinate, giving (−3, −2).
ICSE Class 10 Coordinate Geometry — practice questions
Explore 77 free Coordinate Geometry questions in ICSE Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 77.
The mirror is x = 0. Where does point (3, −2) land?Read the answer and worked solution →Apply reflection across y = 0 to (4, −5); state the resulting point.Read the answer and worked solution →What coordinates result when both signs of (−2, 6) are reversed?Read the answer and worked solution →For a vertical mirror through x = 2, where does (5, −1) land?Read the answer and worked solution →Point (3, 4) is 5 units above y = −1. Locate its partner across that mirror.Read the answer and worked solution →Under reflection in x = 0, what is the new abscissa of (−7, 2)?Read the answer and worked solution →The point (−3, 8) is reflected across the x-axis. Give its new coordinates.Read the answer and worked solution →A vertical mirror at x = 3 bisects the gap between paired points. If one is (1, 5), where is the other?Read the answer and worked solution →Point (7, 2) lies below y = 4. Where is its reflected partner on the far side?Read the answer and worked solution →What point is opposite (0, −4) under a half-turn about the origin?Read the answer and worked solution →A point is unchanged by reflection in x = 0. Which condition must it satisfy?Read the answer and worked solution →Points (3, 2) and (−1, 2) are mirror partners. Which vertical line is the mirror?Read the answer and worked solution →Across the horizontal mirror y = 3, what is paired with (−3, 1)?Read the answer and worked solution →For a point to remain fixed when reflected in y = −2, which condition holds?Read the answer and worked solution →Points (4, −2) and (4, 6) are mirror partners. Find the horizontal mirror line.Read the answer and worked solution →A point divides the segment from (2, 3) to (8, 9) internally in the ratio 2:1. Find it.Read the answer and worked solution →Find the midpoint of the segment joining (−4, 2) and (6, 8).Read the answer and worked solution →What is the centroid of a triangle with vertices (1, 2), (4, 5), and (7, −1)?Read the answer and worked solution →Find the slope of the line through (1, 2) and (5, 10).Read the answer and worked solution →For y = 3x − 4, state the slope and y-intercept.Read the answer and worked solution →A line has slope 3 and passes through (0, 4). Which equation represents it?Read the answer and worked solution →Which line is parallel to y = 2x + 1?Read the answer and worked solution →A line has slope 1/2. What slope must a perpendicular line have?Read the answer and worked solution →A line rises 9 units for every 3 units moved right. What is its slope?Read the answer and worked solution →Write the two-point form for a line of slope 2 through (1, 3).Read the answer and worked solution →Read the gradient from the line equation y = −4x + 6.Read the answer and worked solution →For y = 4x + 7, where does the line cross the y-axis?Read the answer and worked solution →A point divides (1, 2) and (11, 8) internally in ratio 2:3. Find its coordinates.Read the answer and worked solution →The midpoint of (3, −2) and (x, 6) is (7, 2). Find x.Read the answer and worked solution →A line passes through (2, 1) with slope 3. Which equation is correct?Read the answer and worked solution →
Worked practice questions
Apply reflection across y = 0 to (4, −5); state the resulting point.
- (−4, 5)
- (−4, −5)
- (4, 5)
- (4, −5)
Show answer and solution
Correct answer: C. (4, 5)
Reflection in the x-axis changes the sign of y, giving (4, 5).
What coordinates result when both signs of (−2, 6) are reversed?
- (−2, −6)
- (2, 6)
- (2, −6)
- (−6, 2)
Show answer and solution
Correct answer: C. (2, −6)
Reflection in the origin changes both signs, so the image is (2, −6).
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