Coordinate Geometry and Reflections

The video tutorial covers Module 14, focusing on solving problems involving polygons on the coordinate plane. It explains reflections across the x and y axes and how to use absolute value to find distances between points. The tutorial includes practical exercises for plotting points and calculating distances, preparing students for a test on these concepts.

What is the main learning goal of Module 14?

• To learn about the history of coordinate geometry

• To understand the concept of symmetry in geometry

• To solve problems involving polygons by locating their vertices on the coordinate plane

• To solve problems involving circles on the coordinate plane

When reflecting a point across the x-axis, what happens to the y-coordinate?

• It remains the same

• It is doubled

• It is transformed into its opposite

• It is halved

What is the reflection of the point (2, 3) across the x-axis?

• (3, 2)

• (-2, -3)

• (-2, 3)

• (2, -3)

In a reflection across the y-axis, which coordinate remains unchanged?

• Neither coordinate changes

• The y-coordinate

• The x-coordinate

• Both coordinates change

If a point is reflected across the y-axis, what happens to its x-coordinate?

• It is doubled

• It is transformed into its opposite

• It remains the same

• It is halved

How is absolute value used when finding distances in the coordinate plane?

• To calculate the slope of a line

• To ensure distances are always positive

• To find the midpoint between two points

• To determine the area of a polygon

What is the absolute value of -4?

• 4

• 0

• 8

• -4

What is the total distance between two points if one is 3 units from the x-axis and the other is 4 units from the x-axis?

• 12 units

• 7 units

• 4 units

• 3 units

What should students do after plotting points on the coordinate plane?

• Calculate the area of the shapes formed

• Find the distance between specific points

• Determine the slope of the lines connecting the points

• Identify the type of polygons formed

Which quadrant contains points with both coordinates positive?

• Quadrant II

• Quadrant IV

• Quadrant I

• Quadrant III