Question

Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply.

Answer 1

All of the answers are correct, meaning that A,B, and all true.

Answer 2

Answer:

Rigid transformations preserve segment lengths and angle measures.

Rigid transformations produce congruent figures.

If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.

Step-by-step explanation:

• A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.

• Reflection in the plane, translations and rotation or a combination of them produce images that are congruent to the preimage.

• This implies that, two figures are congruent if and only if a  rigid transformation or a combination of one or more rigid transformations will map one plane figure onto another.

• Therefore all the given options are true.