(03.01 MC) A
B
Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f'. Where are points A' and B' located
after dilation, and how are lines f and f' related?
The locations of A' and B' are A' (0,4) and B' (4,0); lines f and f' are parallel.
The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
The locations of A' and B' are A' (0, 2) and B' (4,0); lines f and f' intersect at point A.
The locations of A' and B' are A' (0,4) and B' (2, 0); lines f and f' intersect at point B.

Option (1) will be the answer.

Step-by-step explanation:

Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.

Slope of the line f,

After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,

Rule for dilation,

(x, y) → (kx, ky)

Where k = scale factor

A(0, 2) → A'(0, 4)

B(2, 0) → B'(4, 0)

Slope of line f',

Since,

Therefore, both the lines f and f' will be parallel.

Option (1) will be the answer.

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)