Reflections and Quadrants in Geometry

The video tutorial explains how to plot points on a coordinate plane, identify quadrants, and analyze reflections over the x-axis and y-axis. It evaluates several statements about point locations and reflections, determining their truthfulness. The tutorial concludes with a detailed analysis of reflections and their outcomes.

What is the correct way to plot the point (-3, 4) on the coordinate plane?

• Move left 3 units and down 4 units

• Move right 3 units and down 4 units

• Move left 3 units and up 4 units

• Move right 3 units and up 4 units

In which quadrant is the point (-3, 4) located?

• Quadrant II

• Quadrant III

• Quadrant IV

• Quadrant I

What happens when the point (3, 4) is reflected over the x-axis?

• It becomes (-3, -4)

• It becomes (-3, 4)

• It becomes (3, -4)

• It remains (3, 4)

Is the point (-3, 4) a reflection of (3, 4) over the y-axis?

• Yes, but only if reflected over the x-axis first

• No, it is a reflection over the x-axis

• No, it is not

• Yes, it is

What is the result of reflecting the point (-3, -4) over the y-axis?

• It becomes (3, -4)

• It remains (-3, -4)

• It becomes (-3, 4)

• It becomes (3, 4)

Is the point (-3, 4) a reflection of (-3, -4) over the x-axis?

• No, it is a reflection over the y-axis

• No, it is not

• Yes, but only if reflected over the y-axis first

• Yes, it is

What is the location of the point (4, -3) on the coordinate plane?

• Different from (-3, 4)

• Same as (-3, 4)

• Same as (3, 4)

• Same as (-3, -4)

What is the result of reflecting the point (3, -4) over the y-axis and then the x-axis?

• It becomes (3, 4)

• It remains (3, -4)

• It becomes (-3, 4)

• It becomes (-3, -4)

Is the statement 'The point (-3, 4) is a reflection of (3, 4) over the y-axis and then the x-axis' true?

• No, it is a reflection over the y-axis only

• Yes, but only if reflected over the x-axis first

• No, it is false

• Yes, it is true

Which of the following statements about reflections is true?

• Reflecting over both axes keeps the point unchanged

• Reflecting over the x-axis changes the x-coordinate

• Reflecting over the y-axis changes the y-coordinate

• Reflecting over both axes changes both coordinates