A rotation maps point A to A’. On a coordinate plane, point A prime is (negative 3, 4) and A is (3, negative 4). Which statement describes the rotation? 270° counterclockwise rotation 90° clockwise rotation 180° rotation 90° counterclockwise rotation

(C)180° rotation

Step-by-step explanation:

For rotations about the origin, these are some basic rules

Given point A(-3,4), x=-3, y=4

Point A'=(3,-4)=(-x,-y)

Therefore, the rotation that maps A to A' is 180 degrees rotation.

The correct option is C.

answer: 1 and 3

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.