Ratio Line Segments

Is the ratio of the directed line segment AB the same as segment BA when partitioned by point P?

• Yes

• No

Tags

CCSS.HSG.GPE.B.6

Find the point C that breaks the directed segment AB in to a ratio of 1:2

Write your answer in the coordinate form (x, y)

Tags

CCSS.HSG.GPE.B.6

When do you use partitioning formula?

• to find the distance of a line segment

• to find only the midpoint of a line segment

• to find a point that divides a line segment into a specific ratio

• to shorten a line

Tags

CCSS.HSG.GPE.B.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

A three-inch line segment is dilated by a scale factor of 6 and centered at its midpoint. What is the length of its image?

• 9 inches

• 2 inches

• 15 inches

• 18 inches

Tags

CCSS.8.G.A.3

Line segment A'B' whose endpoints are (4, -2) and (16, 14) is the image of AB after a dilation of 1/2 centered at the origin. What is the length of AB?

• 5

• 10

• 20

• 40

Tags

CCSS.8.G.A.3

In the diagram below, CD is the image of AB after a dilation of scale factor k with center E. Which ratio is equal to the scale factor k of the dilation?

• EC : EA

• BA : EA

• EA : BA

• EA : EC

Tags

CCSS.8.G.A.3

After a dilation with center (0, 0) the image of DB is D'B'. If DB = 4.5 and D'B' = 18, the scale factor of this dilation is

• 1/5

• 5

• 1/4

• 4

Tags

CCSS.8.G.A.3

On the graph below, point A(3, 4) and BC with coordinates B(4, 3) and C(2, 1) are graphed. What are the coordinates of B' and C' after BC undergoes a dilation centered at point A with a scale factor of 2?

• B'(5,2) and C'(1, -2)

• B'(6, 1) and C'(0, -1)

• B'(5, 0) and C'(1, -2)

• B'(5, 2) and C'(3, 0)

Tags

CCSS.8.G.A.3

Tags

CCSS.HSG.GPE.B.6