Question

question 17 of 27 which of these quadrilateral types must have all four angles congruent? a. rectangle, square b. parallelogram, rectangle, square, rhombus c. rectangle, square, rhombus d. square, rhombus

Explanation:

To determine which quadrilaterals must have all four angles congruent, we analyze each option:

• Option A: A rectangle has four right angles (all congruent, \(90^\circ\)). A square is a special rectangle with four right angles and four congruent sides, so all angles are congruent.
• Option B: A general parallelogram has opposite angles congruent but not necessarily all four (e.g., a non - rectangular parallelogram like a rhombus that is not a square has angles that are not all congruent). A rhombus (non - square) has opposite angles congruent but not all four equal. So this option is incorrect.
• Option C: A rhombus (non - square) does not have all four angles congruent (only opposite angles are congruent). So this option is incorrect.
• Option D: A rhombus (non - square) does not have all four angles congruent. So this option is incorrect.

Answer:

A. Rectangle, square