Question

a shape is randomly selected from the following quadrilaterals: parallelogram, rhombus, rectangle, square, and trapezoid. what is the probability that it has four right angles, given that it has four congruent sides? 1/4 1/3 1/8 1/2 3/4

Explanation:

Step1: Identify quadrilaterals with 4 congruent sides

List quadrilaterals from the set: parallelogram, rhombus, rectangle, square, trapezoid. Quadrilaterals with 4 congruent sides are rhombus and square (total 2).

Step2: Count favorable cases

From these 2, count those with 4 right angles: only square (1 case).

Step3: Calculate conditional probability

Probability = favorable/total = $\frac{1}{2}$.

Answer:

D. 1/2