Which pairs of quadrilaterals can be shown to be congruent using rigid motions?



Select Congruent or Not Congruent for each pair of quadrilaterals.
Congruent Not Congruent
quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4

Which pairs of quadrilaterals can be shown to be congruent using rigid motions Select Congruent or Not Congruent for each pair of quadrilaterals Congruent Not C class=

Respuesta :

Answer:

quadrilateral 1 and quadrilateral 2 NOT CONGRUENT

quadrilateral 1 and quadrilateral 3 CONGRUENT

quadrilateral 1 and quadrilateral 4 CONGRUENT

quadrilateral 2 and quadrilateral 3 NOT CONGRUENT

quadrilateral 2 and quadrilateral 4 NOT CONGRUENT

quadrilateral 3 and quadrilateral 4 CONGRUENT

Step-by-step explanation:

quadrilateral 1 and quadrilateral 2 NOT CONGRUENT

quadrilateral 1 and quadrilateral 3 CONGRUENT:

rigid motion: reflection

axis of reflection: y=x

quadrilateral 1 and quadrilateral 4 CONGRUENT:

rigid motions: translation and reflection

axis of reflection y=0

quadrilateral 2 and quadrilateral 3 NOT CONGRUENT

quadrilateral 2 and quadrilateral 4 NOT CONGRUENT

quadrilateral 3 and quadrilateral 4 CONGRUENT:

rigid motions: translation and reflection

axis of reflection: x=0

The corresponding parts of congruent quadrilateral are congruent.

The true statements are:

  • Quadrilateral 1 and quadrilateral 2 Not Congruent
  • Quadrilateral 1 and quadrilateral 3 Congruent
  • Quadrilateral 1 and quadrilateral 4 Congruent
  • Quadrilateral 2 and quadrilateral 3 Not Congruent
  • Quadrilateral 2 and quadrilateral 4 Not Congruent
  • Quadrilateral 3 and quadrilateral 4 Congruent

From the attached figure:

  • Quadrilaterals 1, 3 and 4 are congruent
  • Quadrilateral 2 is not congruent to any of the other quadrilaterals.

The above highlights mean that:

  • Statements 1, 4 and 5 are Not Congruent
  • Statements 2, 3 and 6 are Congruent

Read more about congruent quadrilaterals at:

https://brainly.com/question/8181188

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