Question

1. which statement is true?

all quadrilaterals are rectangles. a
all rectangles are quadrilaterals.
all quadrilaterals are parallelograms.
all quadrilaterals are squares.
classify the quadrilateral.

1. diamond - shaped figure with marked sides and angles

square a
parallelogram
rhombus
trapezoid

1. a ______ is a quadrilateral with exactly one pair of parallel sides..

rhombus a
kite
rectangle
trapezoid

Explanation:

Question 3

• Analyze Option A: A quadrilateral is a 4 - sided polygon. Rectangles have 4 right angles and opposite sides equal. But there are quadrilaterals like trapezoids (non - right - angled) that are not rectangles. So "All quadrilaterals are rectangles" is false.
• Analyze Option B: A rectangle has 4 sides (so it is a quadrilateral) and opposite sides are parallel and equal, and all angles are right angles. By definition, a quadrilateral is a polygon with 4 sides, and a rectangle meets this definition. So all rectangles are quadrilaterals.
• Analyze Option C: A parallelogram has two pairs of parallel sides. A trapezoid (in the US definition) has only one pair of parallel sides and is a quadrilateral but not a parallelogram. So "All quadrilaterals are parallelograms" is false.
• Analyze Option D: A square has 4 equal sides and 4 right angles. There are quadrilaterals like rhombuses (with no right angles) or trapezoids that are not squares. So "All quadrilaterals are squares" is false.

• Analyze Option A: A square has 4 equal sides and 4 right angles. The given figure does not have right angles (the angles are marked as non - right angles), so it is not a square.
• Analyze Option B: A parallelogram has two pairs of parallel sides. While a rhombus is a type of parallelogram, the figure has 4 equal sides (marked by the tick marks) and is a rhombus, which is a more specific classification.
• Analyze Option C: A rhombus has 4 equal sides and opposite sides are parallel, and opposite angles are equal. The given figure has 4 equal sides (indicated by the tick marks on all four sides) and opposite angles are equal (marked by the same - looking angle symbols), so it is a rhombus.
• Analyze Option D: A trapezoid has only one pair of parallel sides. The given figure has two pairs of parallel sides (since it is a rhombus), so it is not a trapezoid.

• Analyze Option A: A rhombus has two pairs of parallel sides, so it does not have exactly one pair of parallel sides.
• Analyze Option B: A kite has two pairs of adjacent equal sides and no parallel sides (in the general case), so it does not have exactly one pair of parallel sides.
• Analyze Option C: A rectangle has two pairs of parallel sides, so it does not have exactly one pair of parallel sides.
• Analyze Option D: By definition, a trapezoid (in the US definition) is a quadrilateral with exactly one pair of parallel sides.

Answer:

B. All rectangles are quadrilaterals.

Question 4