Question

which two shapes could have 2 different pairs of congruent angles? a rectangle and a kite a parallelogram and a rhombus a rectangle and a rhombus a parallelogram and a square

Explanation:

1. Analyze each option:

• Option 1: A rectangle has 4 right angles (all congruent), a kite has 1 pair of congruent angles (the ones between the unequal sides) or 2 pairs (if it's a rhombus - kite, but generally a kite has 1 pair or 2 pairs but not matching rectangle's case). So this is incorrect.
• Option 2: A parallelogram has 2 pairs of congruent angles (opposite angles). A rhombus is a type of parallelogram, so it also has 2 pairs of congruent angles. But we need two shapes that "could" have 2 different pairs (but actually, a parallelogram and rhombus both have 2 pairs of congruent angles, but let's check other options). Wait, no, let's re - analyze.
• Option 3: A rectangle has 4 right angles (all congruent, so effectively 2 pairs of congruent angles as opposite angles are equal and all are 90°). A rhombus has 2 pairs of congruent angles (opposite angles are equal). But wait, a rectangle has all angles 90°, so its two pairs of congruent angles are both 90° (so same measure). A rhombus has two pairs of congruent angles (e.g., in a non - square rhombus, one pair is acute and one pair is obtuse). Wait, maybe I made a mistake. Let's check the fourth option.
• Option 4: A parallelogram has 2 pairs of congruent angles (opposite angles). A square has 4 congruent angles (all 90°), so it has 2 pairs of congruent angles (but all angles are equal). Now, the correct option is the third one? Wait, no, let's re - examine the properties:
• Rectangle: Opposite angles are congruent (all angles are 90°, so two pairs of congruent angles, each pair is 90°).
• Rhombus: Opposite angles are congruent. In a non - square rhombus, the two pairs of congruent angles are of different measures (one pair acute, one pair obtuse). So a rectangle (with two pairs of congruent angles of 90°) and a rhombus (with two pairs of congruent angles of different non - 90° measures in non - square case) could have 2 different pairs of congruent angles.
• Parallelogram: Opposite angles congruent (two pairs). Rhombus is a parallelogram, so same as parallelogram in terms of angle pairs (just sides are equal). Square is a parallelogram with all angles 90° and all sides equal. Kite: One pair of congruent angles (or two pairs if it's a rhombus - kite).
• So the correct option is "A rectangle and a rhombus".

Answer:

A rectangle and a rhombus