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Coordinate Geometry & Transformations Flashcards

7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Coordinate Geometry & Transformations flashcards as text

  1. A translation moves every point 4 units right and 2 units down. Which vector describes it?

    Answer: (4, -2)

    Right is +x and down is -y, so the vector is (4, -2).

  2. Which transformation is NOT an isometry?

    Answer: Dilation with factor 2

    A dilation with factor 2 changes size, so it is not an isometry.

  3. What is the slope of a horizontal line?

    Answer: 0

    A horizontal line has no vertical change, so its slope is 0.

  4. Point (1, 1) is rotated 180 degrees about the origin. Its image is?

    Answer: (-1, -1)

    A 180 degree rotation maps (x, y) to (-x, -y), giving (-1, -1).

  5. What is the distance from the origin to the point (6, 8)?

    Answer: 10

    Distance = sqrt(6^2 + 8^2) = sqrt(100) = 10.

  6. The line y = -x + 5 crosses the x-axis at what point?

    Answer: (5, 0)

    Set y = 0: 0 = -x + 5, so x = 5, giving (5, 0).

  7. Which point lies on the line y = 3x - 1?

    Answer: (2, 5)

    For x = 2: y = 3(2) - 1 = 5, so (2, 5) lies on the line.