2. Trapezoid MNOP is rotated 180° about the origin to form trapezoid M'N'O'P'.
Which statement is true?
F
Trapezoid MNOP is not congruent to trapezoid
ΜΝΌΡ'.
M
4
N
G
The area of trapezoid MNOP is less than the area
of trapezoid M'N'O'P'
1
0
H
The sum of the angle measures of trapezoid
MNOP is 180° less than the sum of the angle
measures of trapezoid M'N'O'P!
P
J
The angle measures of trapezoid MNOP are equal
to the corresponding angle measures of trapezoid
M'N'O'P '.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)