Exam #5 of 12
Gomez, Nicholas Qa
5
Mallory is investigating transformations in the coordinate plane. She makes the claims shown in
the options below.
Select each claim that is true for all points in the coordinate plane.
A A translation of 4 units down takes the point (x, y) to (x, y - 4).
B A reflection over the line y = -x takes the point (x, y) to (x, y).
C A reflection over the y-axis takes the point (x, y) to (-x, y).
D A rotation of 180° clockwise about the origin takes the point (x, y) to (v. -X).

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus