Point W is located on QR so that

QW

What are the coordinates of Point W?

(3.3)

016.12.6./2)

. 9.9)

02.12.212)

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400

This question was incomplete. Here is the complete question:

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

The picture of the question is attached herewith.

The coordinates of W will be (9, 9)

Step-by-step explanation:

This question can be solved using the concept of similar triangles. In similar Triangles the ratio of the LENGTHS of their corresponding sides is equal.

So firstly we will complete the triangle by drawing a horizontal and vertical line joining at P. The coordinates of P will be (11, 3). The length QP will be 8 units. The length PR will be 8 units as well. This has been drawn for you in the diagram attache.

Next we will mark any point on line QR as W. The distance of W from Q is taken as x and the vertical distance of W from QP is taken as y.

Now using the similar triangle ratio rule.

The side represented by x is corresponding to side QP so:

x/8 = 3/4

x = 6

Similarly the side represented by y is corresponding to side PR.

y/8 = 3/4

y = 6  

Adding these lengths with the starting coordinate of Q(3, 3) to find the value of coordinates of W.

So 3+6 = 9 is the x coordinate of W and

3 + 6 = 9, is the y coordinate of W

W = (9, 9) ANS

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