Segment yz has endpoints (6,3) and (3,9). find the coordinates of the point that divides the line segment directed
from y to z in the ratio of 2: 1.
a)
. (4,6)
june
c)
(5, 4)
11: 38 am
8/28/20193
to search

The coordinates of the division point are (4 , 7)

Step-by-step explanation:

* Lets explain how to find the point of division

- If point (x , y) divide the line whose endpoints are

 and at ratio from Y to Z

 then and

* Lets solve the problem

∵ The endpoint of YZ are (6 , 3) and (3 , 9)

∵ Point (x , y) divides YZ directed from Y to Z at ratio 2 : 1

- By using the rule above

∵ Point (6 , 3) is

∵ Point (3 , 9) is

∵ = 2 : 1

∴

∴

∵ The x-coordinate of the point is 4

∵ The y-coordinate of the point is 7

∴ The coordinates of the division point are (4 , 7)

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.

step-by-step explanation:

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