Geometry EOC Review: Directed Line Segments

The video tutorial covers key geometry concepts including finding lengths, working with midpoints, and understanding directed line segments. It explains how to partition line segments into specific ratios, find points on collinear segments, and calculate midpoints on a coordinate grid. The tutorial provides step-by-step examples to illustrate these concepts, making it easier for students to grasp the material.

What is the ratio of segment AP to segment PB when point P partitions line segment AB into a 3 to 4 ratio?

• 3:4

• 4:3

• 1:1

• 2:3

If a line segment is divided into a 1:2 ratio, how many total parts is the segment divided into?

• 5

• 4

• 3

• 2

When dividing a line segment into three equal parts, each part measures 4 units. What is the total length of the line segment?

• 12 units

• 8 units

• 9 units

• 10 units

How is the total distance of a line segment calculated if it is divided into parts with a ratio of 1:2?

• Sum of both parts

• Multiply the larger part by 2

• None of the above

• Divide the total by 3

In a 2 to 1 ratio division of a line segment, how many total parts are considered?

• 2

• 3

• 4

• 5

What is the ordered pair for point Q that divides the line segment RS in a 2 to 1 ratio?

• (1, -3)

• (4, 0)

• (3, -1)

• (2, -2)

If point A is at (-3, 3) and point B is at (3, 0), where is point P that divides the segment AB in a 2 to 1 ratio?

• (-1, 2)

• (0, 1)

• (2, 2)

• (1, 1)

What is the ratio of the distance from point A to point B compared to the distance from B to C if point A is at (-1, -3.5) and point C is at (5, -1)?

• 1:4

• 4:1

• 2:1

• 1:2

Where is point B located if points A, B, and C are collinear and the ratio from A to B compared to A to C is 3 to 5?

• (3, 1)

• (3, 2)

• (3, 0)

• (3, -1)

What are the coordinates of point B if point A is at (-1, -5) and point C is the midpoint at (2, 3)?

• (6, 12)

• (3, 9)

• (4, 10)

• (5, 11)