Question

2 figure b is a reflection of figure a. which of the following is true? a. figure a is a translation. b. the two figures are congruent. c. the two figures are similar but not congruent. d. figure b is a dilation.

Explanation:

Step1: Recall properties of reflection

A reflection is a transformation that flips a figure over a line. It does not change the size or shape of the figure.

Step2: Analyze each option

• Option A: Figure A is not a translation. A translation slides a figure, while here it's a reflection.
• Option B: Since reflection preserves size and shape, the two figures (A and B) are congruent.
• Option C: They are congruent (so this option is wrong as congruent figures are also similar but with a scale factor of 1).
• Option D: Figure B is not a dilation (a dilation changes the size of a figure, reflection doesn't).

Answer:

B. The two figures are congruent.