Distance and Reflection in Geometry

The video tutorial covers Module 14, focusing on the coordinate plane. It explores reflections across the x and y axes, demonstrating how the coordinates change. The tutorial also explains how to find distances between points using absolute values and applies these concepts to solve real-world problems, such as calculating travel times and mapping locations.

What is the essential question of Module 14?

• How to find the midpoint between two points

• How to determine the area of a triangle

• How to use absolute value to find distances between points with the same x or y coordinates

• How to calculate the slope of a line

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

• The x-coordinate changes sign, the y-coordinate remains the same

• Both coordinates remain the same

• The y-coordinate changes sign, the x-coordinate remains the same

• Both coordinates change sign

If a point (3, -2) is reflected across the x-axis, what are the new coordinates?

• (3, -2)

• (-3, -2)

• (3, 2)

• (-3, 2)

How do you find the distance between two points with the same x-coordinate?

• Subtract the absolute values of the y-coordinates

• Add the absolute values of the y-coordinates

• Add the x-coordinates

• Subtract the x-coordinates

What is the distance between points (4, 3) and (4, -2)?

• 3 units

• 7 units

• 9 units

• 5 units

If a truck drives at 40 miles per hour, how long will it take to travel 120 miles?

• 5 hours

• 4 hours

• 3 hours

• 2 hours

What is the reflection of the point (5, -2) across the x-axis?

• (5, -2)

• (-5, -2)

• (5, 2)

• (-5, 2)

How do you calculate the time taken to travel a certain distance at a given speed?

• Multiply distance by speed

• Divide distance by speed

• Add distance and speed

• Subtract speed from distance

What happens to the coordinates of a point when it is reflected over both the x-axis and y-axis?

• Both coordinates remain the same

• Both coordinates change sign

• Only the y-coordinate changes sign

• Only the x-coordinate changes sign

If a point is in quadrant IV and is reflected across the y-axis, in which quadrant will it be?

• Quadrant III

• Quadrant II

• Quadrant I

• Quadrant IV