Question

Please help me with this

Answer 1

Yes;Each side of triangle PQR is the same length as the corresponding side of triangle STU

Explanation:

You can observe the sides of both triangles to see if this property holds

Lets check the length of AB

A(0,3) and B(0,-1)

`AB=√((x_2-x_1)^2+(y_2-y_1)^2) \\\\\\\\AB=√((0-0)^2+(-1-3)^2) \\\\\\\\AB=√(0^2+-4^2) \\\\\\AB=√(16) =4units`

Now check the length of the corresponding side DE

D(1,2) and E(1,-2)

`DE=√((1-1)^2+(-2-2)^2) \\\\\\DE=√(0^2+-4^2) \\\\\\DE=√(16) =4units`

The side AB has the same length as side DE.This is also true for the remaining corresponding sides.