Respuesta :
From the coordinates we can see the rule for this transformation:
- (x, y) → (- x, - y - 5)
This is a rotation by 180 degrees and translation 5 units down, therefore shape or size remain as is. So this is a congruence transformation.
Answer:
Rotation of 180° about the origin (0, 0) followed by a translation of 5 units down.
Congruence transformation.
Step-by-step explanation:
Given vertices of ΔPQR:
- P = (4, 0)
- Q = (2, -3)
- R = (5, -4)
Given vertices of ΔSTU:
- S = (-4, -5)
- T = (-2, -2)
- U = (-5, -1)
From observation, the mapping rule the transforms ΔPQR to ΔSTU is:
- [tex](x,y) \rightarrow (-x,y-5)[/tex]
Rotation of 180° about the origin (0, 0) followed by a translation of 5 units down.
This is a congruence transformation as the two triangles have the same shape and same size.
