20 Points!! Please help Graph a triangle (LMN) and rotate it 180° around the origin to create triangle L′M′N′. (10 points)

Describe the transformation using words. Make sure you refer to the characteristics and the coordinates.
Draw a line through points L and L′ and through M and M′. What do you notice about the lines you drew? Do you think you would notice the same characteristics if you drew another line through points N and N′? How do you know?

The graph of the triangle LMN and the image L'M'N' created by rotation of ΔLMN through 180° made  with MS Excel is attached

The transformation involved in the 180° rotation of ΔLMN to create ΔL'M'N' includes;

The changing of the signs of the x and y-values of the coordinates of the vertices ΔLMN to get the corresponding x and y-values of the coordinates of the vertices of ΔL'M'N' as follows;

Before, rotation

The coordinates of the vertices of ΔLMN are; L(3, 3), M(9, 9), and N(9, 3)

After 180° rotation

The coordinates of the vertices of the image of ΔLMN, which is ΔL'M'N' are; L'(-3, -3), M'(-9, -9), and N'(-9, -3)

Therefore, the image of ΔLMN, ΔL'M'N' is located in the third quadrant, while the preimage ΔLMN is in the first quadrant

Part B

The lines drawn through L and L' and through M and M' are colinear lines

Part C

The lines dawn through points N and N' will not pass through the same line as the lines through L and L' and through M and M', because the three points are not colinear

Step-by-step explanation:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05