Question

URGENT

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 . .

Answer 1

To determine congruence using rigid motions, we need to check if the corresponding angles and side lengths are equal.

Step-by-step explanation:

To determine if the pairs of quadrilaterals are congruent using rigid motions, we need to determine if they have the same shape and size. If the corresponding angles are equal and the corresponding side lengths are equal, then the pairs of quadrilaterals are congruent. We can use rigid motions such as translations, rotations, and reflections to show congruence.

1. Quadrilateral 1 and Quadrilateral 2: Congruent if their corresponding angles and side lengths are equal.
2. Quadrilateral 1 and Quadrilateral 3: Congruent if their corresponding angles and side lengths are equal.
3. Quadrilateral 1 and Quadrilateral 4: Not Congruent if their corresponding angles and side lengths are not equal.
4. Quadrilateral 2 and Quadrilateral 3: Not Congruent if their corresponding angles and side lengths are not equal.
5. Quadrilateral 2 and Quadrilateral 4: Not Congruent if their corresponding angles and side lengths are not equal.
6. Quadrilateral 3 and Quadrilateral 4: Congruent if their corresponding angles and side lengths are equal.

Answer 2

Not Congruent:

quadrilateral 1 and quadrilateral 2

quadrilateral 1 and quadrilateral 3

quadrilateral 1 and quadrilateral 4

Congruent:

quadrilateral 2 and quadrilateral 3

quadrilateral 2 and quadrilateral 4

quadrilateral 3 and quadrilateral 4