Question

35 multiple choice 1 point
what information would you need to prove these two figures are similar?
all angles congruent and all of the sides are proportional.
all of the sides proportional.
only 3 sides proportional.
all the angles congruent

Explanation:

Step1: Recall the definition of similar polygons

Similar polygons have all corresponding angles congruent and all corresponding sides proportional.

Step2: Analyze each option

• Option 1: "All angles congruent AND all of the sides are proportional" matches the definition of similar polygons.
• Option 2: "All of the sides proportional" is not sufficient alone as angles also need to be congruent.
• Option 3: "Only 3 sides proportional" is incorrect as for polygons (here quadrilaterals), all sides need to be in proportion (4 sides for quadrilaterals) and angles congruent.
• Option 4: "All the angles congruent" is not sufficient alone as sides also need to be proportional.

Answer:

All angles congruent AND all of the sides are proportional.