Question

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
Congruent – quadrilateral 1 and quadrilateral 2
Not Congruent – quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3
Congruent – quadrilateral 1 and quadrilateral 3
Not Congruent – quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4
Congruent – quadrilateral 1 and quadrilateral 4
Not Congruent – quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3
Congruent – quadrilateral 2 and quadrilateral 3
Not Congruent – quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4
Congruent – quadrilateral 2 and quadrilateral 4
Not Congruent – quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4
Congruent – quadrilateral 3 and quadrilateral 4
Not Congruent – quadrilateral 3 and quadrilateral 4
Four quadrilaterals are graphed on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. The vertices of quadrilateral 1 lie on begin ordered pair negative 1 comma 2 end ordered pair and begin ordered pair negative 1 comma 4 end ordered pair and begin ordered pair negative 3 comma 4 end ordered pair and begin ordered pair negative 4 comma 3 end ordered pair. The vertices of quadrilateral 2 lie on begin ordered pair 1 comma 2 end ordered pair and begin ordered pair 2 comma 3 end ordered pair and begin ordered pair 4 comma 3 end ordered pair and begin ordered pair 4 comma 1 end ordered pair. The vertices of quadrilateral 3 lie on begin ordered pair 4 comma negative 1 end ordered pair and begin ordered pair 1 comma negative 1 end ordered pair and begin ordered pair 1 comma negative 3 end ordered pair and begin ordered pair 2 comma negative 4 end ordered pair. The vertices of quadrilateral 4 lie on begin ordered pair 0 comma negative 1 end ordered pair and begin ordered pair negative 3 comma negative 2 end ordered pair and begin ordered pair negative 2 comma negative 3 end ordered pair and begin ordered pair 0 comma negative 3 end ordered pair.

Answer 1

Answer:

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