Question

Refer to the figure below to answer the following questions: (a) When placed in Quadrant ), name the coordinates of point T that forms parallelogram QTRS. (b) When placed in Quadrant II, name the coordinates of point T that forms parallelogram QRST. (c) When placed in Quadrant IV, name the coordinates of point T. that forms parallelogram QRTS. Given Points Q(-1,3), R(3.0), and S(-2,-1) Q T. S

Answer 1

A parallelogram is a quadilateral that has two pairs of parallel sides. The opposite sides of a parallelogram are equal.

Given the points:

Q(-1,3), R(3,0), and S(-2,-1)

a) When placed in quadrant I, let's find the point T that forms a parallellogram.

Here the distance QS and RT must be equal.

Use the distance formula:

`d=\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

The point of T that forms a parallellogram when placed in quadrant I is:

T(4, 4)

From point R

b) When placed in Quadrant II, let's find the point T that forms a parallellogram.

We have:

T(-6, 2)

From point Q, make a movement 5 units left and 1 unit down

The point of T that forms a parallellogram when placed in quadrant II is:

T(-6, 2)

c) When placed in quadrant IV, let's find the point T that forms a parallelogram.

We have:

T(2, -4)

From point R, make a movement of down 4 units and left 1 unit.

The point of T, that forms a parallelogram when placed in quadrant IV is:

T(2, -4)

ANSWER:

a) (4, 4)

b) (-6, 2)

c) (2, -4)