Partitioning Segments and Coordinates

Mr. Zazic reviews partitioning a segment, a common geometry question. He explains the importance of direction in partitioning, using points A (-2, 4) and B (7, -2). The segment is divided in a 1:2 ratio, calculated as 1/3. The formula x1 + 1/3 * (x2 - x1) and y1 + 1/3 * (y2 - y1) is used to find the partition point P (1, 2). Graphing helps verify the point lies on the segment and the ratio is correct. Students are encouraged to practice this concept.

What is the main topic discussed in this video tutorial?

• Calculating angles in triangles

• Partitioning a segment

• Finding the area of a circle

• Solving quadratic equations

What are the coordinates of point A?

• (4, -2)

• (0, 0)

• (-2, 4)

• (7, -2)

In which direction does the segment move?

• From B to A

• From A to B

• From left to right

• From top to bottom

How is the fraction for the ratio of partitioning created?

• A plus B over A

• A over A plus B

• B over A plus B

• B over A

What is the ratio used in this example?

• 2 to 1

• 1 to 3

• 1 to 2

• 3 to 1

What is the formula for calculating the partitioned X coordinate?

• x1 minus 1/3 times the change in Y

• x2 minus 1/3 times the change in X

• x1 plus 1/3 times the change in X

• x1 plus 1/3 times the change in Y

What is the change in X value in this example?

• 5

• 9

• 3

• 7

What is the starting Y value for point A?

• 4

• 0

• -2

• 7

What is the final Y coordinate of the partitioned point?

• 3

• 4

• 2

• 1

What is the significance of the negative sign in the Y value calculation?

• It changes the direction

• It has no significance

• It indicates an increase

• It indicates a decrease