Question

priya followed this set of instructions to make quadrilateral acbd. draw 2 points: a and b. draw a circle centered at a with radius ab. draw a circle centered at b with radius ab. label the intersection points of the circles c and d. draw segments ac, bc, ad, and bd. choose a description you can be sure is accurate for the shape she constructed. a only 2 congruent sides b 4 congruent angles c 4 congruent sides d 4 congruent sides and 4 congruent angles

Explanation:

Step1: Analyze the construction

When we draw two circles centered at A and B with radius AB, and then draw the intersection - points and segments as described, we are creating a rhombus. In a rhombus, all four sides are congruent.

Step2: Recall properties of the shape

A rhombus has 4 congruent sides. The construction does not guarantee that the angles are congruent (a square has 4 congruent sides and 4 congruent angles, but this construction doesn't ensure right - angles).

Answer:

D. 4 congruent sides and 4 congruent angles