Coordinate Geometry and Reflections

Mr. Hul introduces symmetry and opposite numbers, explaining their positions on a number line and extending these concepts to the coordinate plane. The lesson covers reflections across axes, identifying patterns, and lines of symmetry. It concludes with an overview of quadrants on the coordinate plane.

What is the absolute value of an opposite number?

• The product of the numbers

• The distance from zero

• The difference between the numbers

• The sum of the numbers

Where does the number -3 lie on the number line relative to zero?

• Three units to the right

• Three units to the left

• At zero

• Six units to the left

How do you label the point (3, 4) on the coordinate plane?

• Four units right, three units up

• Three units left, four units down

• Four units left, three units down

• Three units right, four units up

What is the similarity between points with coordinates (3, 4) and (3, -4)?

• Same absolute value of x-coordinates

• Same absolute value of y-coordinates

• Same y-coordinates

• Same x-coordinates

What happens to the coordinates when a point is reflected across the x-axis?

• Coordinates remain the same

• X-coordinate changes sign

• Y-coordinate changes sign

• Both coordinates change sign

If a point (5, 3) is reflected across both axes, what are the new coordinates?

• (3, 5)

• (-5, 3)

• (5, -3)

• (-5, -3)

Which line of symmetry is shared by points (x, y) and (-x, y)?

• X-axis

• Y-axis

• Origin

• Diagonal

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

• Quadrant IV

• Quadrant I

• Quadrant III

• Quadrant II

What is the result of reflecting a point across the y-axis?

• Both coordinates change sign

• X-coordinate changes sign

• Coordinates remain the same

• Y-coordinate changes sign

Which quadrant contains points with positive x and negative y coordinates?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I