Quadrilateral RSTU is reflected across the y-axis and translated down 3 units. Which coordinates best represents S’?

A. (3,5)
B. (-3,2)
C. (3,2)
D. (-3,5)

The coordinates for point S¹ is C. (3, 2).

Step-by-step explanation:

Step 1:

If a coordinate is reflected across an axis, the coordinate values remain constant but the symbols i.e. positive or negative varies according to the quadrant on to which they are reflected.

The current quadrilateral is in the second quadrant. If it reflected across the y-axis it will be reflected on to the first quadrant.

The first quadrant has a positive x and y coordinate value.

Step 2:

The coordinate of point S is (-3, 5) in the second quadrant.

If it is reflected onto the first quadrant, the coordinates become (3, 5).

If the point is translated down three units it means the y values become (y-3) while the x value remains the same.

So the coordinate for point S¹ = (3, 5-3) = (3, 2) which is option C.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,