Geometry: Collinearity, Betweenness, and Assumptions (Level 3 of 4)

This video tutorial covers three examples illustrating the use of colinearity and triangle inequality concepts. The first example involves solving for the length of segment WX using given segment lengths and ratios. The second example focuses on finding the value of Y using colinearity and algebraic expressions. The final example demonstrates how to use triangle inequality to determine the possible range for the length of segment AC. Each example is explained step-by-step, emphasizing the application of geometric and algebraic principles.

What is the length of segment WX if the length of segment WY is 25 and the ratio of WX to XY is 3:2?

• 20

• 15

• 10

• 25

If GE = 3Y, GH = 7Y - 4, and EH = 24, what is the value of Y?

• 5

• 8

• 6

• 7

In the second example, which geometric property is used to solve for Y?

• Parallel Lines

• Triangle Inequality

• Pythagorean Theorem

• Collinearity

In the first example, what is the value of X when solving for the length of segment WX?

• 15

• 20

• 5

• 10

What is the maximum possible length of segment AC in the triangle example?

• 15

• 12

• 18

• 10

What is the minimum possible length of segment AC in the triangle example?

• 4

• 1

• 2

• 3

Which inequality is not applicable in the triangle example due to the nature of lengths?

• AB + BC > AC

• BC + AC > AB

• None of these

• AC + AB > BC