Question

ΔRST is reflected across the line y = x to form ΔR’S’T’. Find the coordinates of the points R’, S’ and T’.

R(1,-2)
S(2,-8)
T(7,-4)

Answer 1

R' ( -2,1)

S' (-8,2)

T' ( -4,7)

Step-by-step explanation:

Answer 2

To find the reflections of points across the line y = x, swap the coordinates of each point. Hence, the reflected points R', S', and T' are R'(-2,1), S'(-8,2), and T'(-4,7) respectively.

Step-by-step explanation:

When a point is reflected across the line y = x, the coordinates of the point are essentially swapped. Therefore, the reflection of a point (a, b) across the line y = x is (b, a).

Using this rule, we can find the coordinates of the reflected points R', S', and T' for the original points R(1,-2), S(2,-8), and T(7,-4):

• R' is the reflection of R, so R'(1,-2) becomes R'(-2,1).
• S' is the reflection of S, so S'(2,-8) becomes S'(-8,2).
• T' is the reflection of T, so T'(7,-4) becomes T'(-4,7).

In conclusion, the coordinates of the reflected points are R'(-2,1), S'(-8,2), and T'(-4,7).