Geometry: Collinearity, Betweenness, and Assumptions (Level 2 of 4)

The video covers five examples illustrating collinearity and betweenness of points. It starts with drawing and measuring a shaded segment on a number line, followed by determining which point is between two others using segment lengths. The third example involves finding possible coordinates of a point between two others. The fourth example requires drawing a diagram based on collinear point relations, and the final example involves creating a diagram with intersecting line segments for non-collinear points.

What is the length of the shaded segment between -5 and 2 on a number line?

• 5

• 6

• 8

• 7

If segment AC is 24, segment BC is 8, and segment AB is 16, which point is between the other two?

• Point C

• None

• Point B

• Point A

Given point P at -8 and point R at 4, which of the following could be a coordinate for point Q?

• -5

• 10

• 5

• -10

What is the sum of the lengths of segments PQ and QR if point Q is between P and R, and PR is 12?

• 8

• 14

• 12

• 10

In a diagram where point D is between N and A, and NA + AX = NX, which point is between N and X?

• Point X

• Point N

• Point D

• Point A

How should points A, E, R, and S be arranged if they are non-collinear and F is between A and E, and also between R and S?

• A triangle

• A square

• Two intersecting lines

• All on one line

Which of the following statements is true about collinear points?

• They are always parallel

• They form a square

• They lie on the same line

• They form a triangle