Question

25 POINTS PLEASE HELP

The rectangle shown is formed by a reflection of points C and D across the y-axis of
the coordinate plane. Point C has the coordinates (4, 4). Determine a and b and then calculate the perimeter of the rectangle.

Answer 1

all i know is that the perimeter is 24

Explanation:

i also believe that the Coordinate on the top left is (-4,4) and the one below is (0,4)

Answer 2

a = -2, b = 3

Parameter = 24 units

Explanation:

According to information provided in question, opposite side is reflection of point C and D. So the distance of C to the y-axis is equal to distance of (a-2,b+1) to y-axis.

Now C = (4,4)

at C, value of x co-ordinate is 4.

So in opposite direction value of x co-ordinate is -4

Here we can equate,

a-2 = -4

a = -4+2

a = -2

But remember, there is no distance covered on y-axis through C to opposite side of y-axis,

So,

b+1 = 4

b = 4-1

b = 3

Now for parameter,

since, b+1 =4,

Notice that on lower point of (a-2,0)

y co-ordinate or ordinate is 0.

So the distance covered along y-axis is 4.

Now from point C to point (a-2,b+1), distance is covered along x-axis,

value of x co-ordinate on C is 4 and at point (a-2,b+1) value of x co-ordinate is -4 because

a-2 -4,

So total distance from point C to point (a-2,b+1) is 8 (4 to right side of y coordinate and 4 to left side of coordinate)

Now understand that two sides have length of 8 units and two sides have length of 4 units.

Parameter = sum of lengths of all sides

Parameter = 8+8+4+4

Parameter = 24 units