Distance and Reflection on the Coordinate Plane

The video tutorial covers distance in the coordinate plane, focusing on plotting points, calculating horizontal and vertical distances, and reflecting points across axes. The lesson includes guided practice and exercises to reinforce these concepts. Students are expected to complete homework assignments to apply what they've learned.

What is the main focus of today's lesson on the coordinate plane?

• Solving algebraic equations

• Identifying types of angles

• Finding the distance between points

• Calculating the area of shapes

When plotting the point F with coordinates (5, 7), where should it be placed on the coordinate plane?

• On the positive x-axis

• On the positive y-axis

• On the negative x-axis

• On the negative y-axis

How do you calculate the horizontal distance between two points on the same y-coordinate?

• Divide the y-coordinates

• Multiply the x-coordinates

• Add the y-coordinates

• Subtract the x-coordinates

What is the vertical distance between points G (0, -5) and H (0, -10)?

• 15 units

• 10 units

• 5 units

• 3 units

Which mathematical concept is used to calculate vertical distance between points?

• Trigonometry

• Absolute value

• Factorization

• Pythagorean theorem

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

• Neither coordinate changes sign

• The x-coordinate changes sign

• The y-coordinate changes sign

• Both coordinates change sign

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

• Both coordinates change sign

• The y-coordinate changes sign

• The x-coordinate changes sign

• Neither coordinate changes sign

How many city blocks does Yoko walk from the library to the mall?

• 9 blocks

• 7 blocks

• 5 blocks

• 3 blocks

What is the rule for finding the distance between two points with the same x-coordinate but different y-coordinates?

• Add the y-coordinates

• Subtract the y-coordinates

• Multiply the y-coordinates

• Divide the y-coordinates

What is the homework assignment for this lesson?

• Page 404, numbers 1-9

• Page 407, numbers 28-36

• Page 405, numbers 10-18

• Page 406, numbers 19-27