Answer:
The coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).
Step-by-step explanation:
The vertices of triangle XYZ are X(-2,1), Y(-4,-3) and Z(0,-2).
It is given that the triangle translated by rule
The coordinates of image of XYZ are
Therefore coordinates of image are X'(-3,4), Y'(-5,0) and Z'(-1,1).
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
Add 5 to both sides:
Divide both sides by 2:
Distance is equal to 10.
Use the distance formula: d=√((x_2-x_1)²+(y_2-y_1)²)
d = √(9-3)^2 + (1-9)^2
d = √(6)^2 + (-8)^2
d = √36 + 64
d = √100
d = √10
Hope this helps :)