6.A rectangle has a coordinate at (3,5),(3,8) and (9,5).Plot the points to determine the coordinate of the fourth point.

a)(-3,5)
b)(9,8)
c)(8,9)
d)(-9,8)***

9.What is the length of the line segment between M(2,-9) and N(2,-14)?
a)5 units***
b)6 units
c)15 units
d)23 units

can someone plz help me

1. im not sure

2. correct

6. To determine the coordinate of the fourth point in a rectangle with three given points, we need to understand the properties of rectangles.

1. We can observe that the rectangle has two pairs of parallel sides.
2. The opposite sides of a rectangle are equal in length.
3. The diagonals of a rectangle are equal in length and intersect each other at their midpoint.

To find the fourth point, we can follow these steps:

Step 1: Plot the given points (3, 5), (3, 8), and (9, 5) on a graph.
Step 2: Connect the points to form a rectangle.
Step 3: Draw the diagonals of the rectangle. These diagonals will intersect at the midpoint of each diagonal.
Step 4: Locate the midpoint of one of the diagonals.
Step 5: The coordinate of the fourth point will be the reflection of the midpoint across the diagonal.

Based on the options provided, we can see that the correct answer is (d) (-9, 8).

9. To find the length of a line segment between two points, we can apply the distance formula.

The distance between two points (x1, y1) and (x2, y2) can be found using the formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the given points are M(2, -9) and N(2, -14).

Using the distance formula, we can calculate the length:

Distance = sqrt((2 - 2)^2 + (-14 - (-9))^2)
= sqrt(0^2 + (-5)^2)
= sqrt(0 + 25)
= sqrt(25)
= 5 units

Therefore, the correct answer is (a) 5 units.