NO LINKS!!
Describe the transformation from ΔPQR to ΔSTU. Is this a congruence or similarity transformation?

ΔPQR: P(4, 0), Q(2, -3), R(5, -4)
ΔSTU: S(-4, -5), T(-2, -2), U(-5. -1)

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.

Ver imagen semsee45