Question

The line segment is rotated 90 degrees counterclockwise about the origin to form c'd'. Which statement describes c'd'? a. c'd' and cd are equal in length. b. c'd' is parallel to cd. c. c'd' is half the length of cd. d. c'd' is greater than twice the length of cd​

Answer 1

Given :- The line segment is rotated 90 degrees counterclockwise about the origin to form c'd'. Which statement describes c'd' ?

a.) c'd' and cd are equal in length.

b.) c'd' is parallel to cd.

c.) c'd' is half the length of cd.

d.) c'd' is greater than twice the length of cd .

Solution :-

we know that,

• in 90° counterclockwise rotation , (x, y) becomes = (-y, x) .
• in 90° clockwise rotation, (x , y) becomes = (y , - x).

In Image , we have given that The coordinates of point C are (1 , 2) and D are (1 , -1) .

So,

using the rule of counterclockwise rotation in 90° ,

→ C (1 , 2) ------------------- C' (-2, 1).

→ D (1 , -1) ------------------- D'(1, 1).

and, Lenth of CD is equal to C'D' .

Hence, Option A is right answer.

Answer 2

Answer:

They are equal

Step-by-step explanation: