Partitioning a Line Segment

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

The coordinates of the point P are:

• (1,5)

• (0,4)

• (3, 1)

• (-1, 1)

Tags

CCSS.HSG.GPE.B.6

6) The ratio is 3:1. How many parts are there?

• 2

• 3

• 4

• 5

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A(2, 4) and B(8, 10).

• (7,9)

• (9,7)

• (-3,9)

• (5,1)

Tags

CCSS.HSG.GPE.B.6

Given the points A(-2 4) and B(7, -2), find the coordinates of the point P on directed line segment AB in the ratio 1:2.

The coordinates for point P are:

• (0, 1)

• (0, -1)

• (1,2)

• (2,1)

Tags

CCSS.HSG.GPE.B.6

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

A dilation is which of the following: 

• An enlargement
• A reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

Tags

CCSS.8.G.A.3

If the scale factor is less than one, the new figure will be

• an enlargement
• a reduction
• a scale factor
• bigger

Tags

CCSS.8.G.A.3

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

Tags

CCSS.8.G.A.3

Dilate Point B by a scale factor of 1/2

• (1.5,-4)
• (-1.5,1)
• (-1,-1.5)
• (-2,-2)

Tags

CCSS.8.G.A.3

Dilate Point B by a scale factor of 3:

• (12,0)
• (12,12)
• (4,3)
• (0,12)

Tags

CCSS.8.G.A.3