The point (2, –4) is reflected across the line y = –1. what are the coordinates of the image?

(2,2)

Step-by-step explanation:

The point (2, –4) is reflected across the line y = –1.

y=-1 is horizontal line.

Let coordinate of image (a,b)

Point (2,-4) reflected about y=-1.

When point reflect about the horizontal line their x-coordinate doesn't change. a=2

Only change in y-coordinate.

First we find the distance of y-coordinate from the line y=-1

Distance  = |-4 - (-1) | = |-3| = 3

Point (2,-4) is 3 unit below the line y=-1

Image of this point must be 3 unit above the y=-1

3=|b-(-1)|

3=b+1

b=2

Hence, The coordinate of image of given point is (2,2)

.

step-by-step explanation:

.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it