Question

Figure MNOP is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure M′N′O′P′: A coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. Figure MNOP has M at ordered pair negative 4, negative 2, N at negative 2, negative 3, O at negative 3, negative 4, P at negative 4, negative 4. Figure M prime N prime O prime P prime has M prime at ordered pair 4, 2, N prime at 2, 3, O prime at 3, 4, P prime at 4, 4. Which statement best compares the lengths of the sides of the two figures? Length of MN = Length of O′P′ Length of MN = Length of M′N′ Length of OP = Length of M′N′ Length of OP = Length of N′O′

Answer 1

Length of MN=Length of M'N'

Explanation:

We are given that figure MNOP is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure M'N'O'P'.

Figure MNOP has M (-4,-2),N(-2,-3),O(-3,-4) and P(-4,-4).

Figure M'N'O'P has M'(4,2),N'(2,3), O'(3,4) and P'(4,4).

We have to find the statement which compares best the length of the sides of the two figures.

We know that when a figure is rotated then the length does not change only coordinates of figure change.

Therefore, MN=M'N',NO=N'O',OP=O'P', MP=M'P'

Hence, Length of MN=Length of M'N'

Option B is true.

Answer: B.Length of MN=Length of M'N'

Answer 2

Rotation is a transformation that does not alter corresponding lengths or angles. The appropriate choice is

... Length of MN = Length of M'N'