Question

javier and lisa each drew a figure. which of the following statements are correct? select all that apply.
a. if lisas figure can be obtained from javiers figure by a rotation, the two figures are congruent.

b. if lisas figure can be obtained from javiers figure by a translation, the two figures are congruent.

c. if lisas figure can be obtained from javiers figure by a reflection, the two figures are congruent.

Explanation:

• For Option A: Rotation is a rigid transformation, which means it preserves the shape and size of the figure. So if one figure can be obtained from another by rotation, they are congruent.
• For Option B: Translation is also a rigid transformation. It only moves the figure without changing its shape or size, so the two figures are congruent.
• For Option C: Reflection is a rigid transformation as well. It flips the figure but keeps the shape and size the same, so the two figures are congruent.

Answer:

A. If Lisa's figure can be obtained from Javier's figure by a rotation, the two figures are congruent.
B. If Lisa's figure can be obtained from Javier's figure by a translation, the two figures are congruent.
C. If Lisa's figure can be obtained from Javier's figure by a reflection, the two figures are congruent.