find the image of (5,7) obtained by translating 4 units down, followed by a reflection over the y-axis

The image is (-5,3)

Step-by-step explanation:

Translation and Reflection

One point P of coordinates (x,y) can be translated by (a,b) units by adding the units to the corresponding coordinate. This will map P to P' of coordinates P'(x+a,y+b).

A reflection across the y-axis maps the point P(x,y) to the point P'(-x,y).

The point P(5,7) will first be translating 4 units down to get P'(5,7-4) = P'(5,3).

Point P'(5,3) will finally be reflected over the y-axis and maps to P''(-5,3).

The image is (-5,3)

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i hope this answer you! if you have any further questions or concerns, feel free to ask! : )

step-by-step explanation:

mark brainliest!

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.