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Point W is located on QR so that QW/QR = 3/4. What are the coordinates of point W?

Point W is located on QR so that QW/QR = 3/4. What are the coordinates of point W-example-1
User CyberAP
by
5.7k points

1 Answer

4 votes

Answer:

(9,9)

Explanation:

I like to use similar triangles.

To take some confusion out of of this let's translate the line down 3 units and left 3 units.

Alright from the drawing we get:

a/8 = b/8 and a/8 = 3k/4k (or b/8=3k/4k )

We don't need the k's, they cancel.

a/8 = b/8 and a/8=3/4

So the first equation means a=b.

Now let's see what a and b are by solving a/8 = 3/4.

Cross multiply:


(a)/(8)=(3)/(4)


a(4)=8(3)


4a=24

a=6

So if a=b and a=6, then b=6.

The ordered pair is (6,6).

Now let's move the line back.

We have to move it up 3 units and right 3 units which gives us the point (9,9).

Point W is located on QR so that QW/QR = 3/4. What are the coordinates of point W-example-1
User Yogesh Aggarwal
by
5.5k points