Unit 7 Section B Quiz

  1. Question 1:

    What is the distance between the points (1, 2) and (4, 6) in a coordinate plane?

    1. 3
    2. 5
    3. 6
    4. 7
  2. Question 2:

    What is the midpoint of the line segment connecting the points (3, -2) and (7, 4)?

    1. (5, 1)
    2. (5, -1)
    3. (2, 3)
    4. (10, 2)
  3. Question 3:

    What is the slope of a line that passes through the points (2, 5) and (6, 13)?

    1. 2
    2. 3
    3. 4
    4. 1
  4. Question 4:

    What is the equation of a line with a slope of 3 that passes through the point (4, 2)?

    1. y = 3x + 2
    2. y = 3x – 10
    3. y = 3x + 10
    4. y = 3x – 2
  5. Question 5:

    What is the slope-intercept form of the equation of a line with a slope of -\frac{1}{2} and a y-intercept of 4?

    1. y = -\frac{1}{2}x + 4
    2. y = -\frac{1}{2}x – 4
    3. y = \frac{1}{2}x + 4
    4. y = \frac{1}{2}x – 4
  6. Question 6:

    What is the equation of a circle with a center at (0, 0) and a radius of 5?

    1. x^2 + y^2 = 5
    2. (x – 5)^2 + (y – 5)^2 = 25
    3. x^2 + y^2 = 10
    4. x^2 + y^2 = 25
  7. Question 7:

    In the equation of a circle (x - h)^2 + (y - k)^2 = r^2, what does the point (h, k) represent?

    1. The radius of the circle
    2. The diameter of the circle
    3. The center of the circle
    4. The circumference of the circle
  8. Question 8:

    Which interactive tool allows you to perform geometric transformations such as translations, rotations, and reflections?

    1. GeoGebra
    2. Desmos
    3. Wolfram Alpha
    4. All of the above
  9. Question 9:

    Using Desmos, how can you visualize the effect of changing the parameters of a quadratic function?

    1. By plotting a linear graph
    2. By using sliders to adjust parameters
    3. By drawing freehand shapes
    4. By calculating distances manually
  10. Question 10:

    What is one application of interactive geometry tools in real-world problem-solving?

    1. Graphing simple equations by hand
    2. Solving puzzles and riddles
    3. Modeling population growth using exponential functions
    4. Conducting experiments in a laboratory