Question

1. match each term name to the definition. (be as specific as possible). * 7 points

parallelogram isosceles trapezoid rectangle kite rhombus square trapezoid
a _ is a quadrilateral with exactly one pair of parallel sides.
a _ is a regular quadrilateral.
a _ is an equilateral quadrilateral with two pairs of parallel sides.
a _ is a quadrilateral with two distinct pairs of consecutive

Explanation:

Step1: Analyze the first definition

A quadrilateral with exactly one pair of parallel sides is a trapezoid. So we match "trapezoid" to the first definition.

Step2: Analyze the second definition

A regular quadrilateral has all sides equal and all angles equal, which is a square. So we match "square" to the second definition.

Step3: Analyze the third definition

A quadrilateral with two pairs of parallel sides is a parallelogram. So we match "parallelogram" to the third definition.

Step4: Analyze the fourth definition (partially visible)

A quadrilateral with two distinct pairs of consecutive sides equal is a kite. (Assuming the full definition is about consecutive equal sides) So we match "kite" to the fourth definition. Also, an isosceles trapezoid has a pair of parallel sides and non - parallel sides equal, a rectangle has two pairs of parallel sides and right angles, a rhombus has four equal sides and two pairs of parallel sides. But based on the given definitions:

• For "A _ is a quadrilateral with exactly one pair of parallel sides." → trapezoid
• For "A _ is a regular quadrilateral." → square
• For "A _ is an equilateral quadrilateral with two pairs of parallel sides." → rhombus (Wait, earlier mistake: equilateral means all sides equal. A rhombus has all sides equal and two pairs of parallel sides. A parallelogram has two pairs of parallel sides but not necessarily all sides equal. So correcting step 3: An equilateral quadrilateral with two pairs of parallel sides is a rhombus. And a quadrilateral with two pairs of parallel sides (not necessarily equilateral) is a parallelogram. Let's re - do:

Step1 (corrected): "A _ is a quadrilateral with exactly one pair of parallel sides." → trapezoid (definition of trapezoid)

Step2 (corrected): "A _ is a regular quadrilateral." → square (regular means all sides and angles equal, square is regular quadrilateral)

Step3 (corrected): "A _ is an equilateral quadrilateral with two pairs of parallel sides." → rhombus (equilateral - all sides equal, two pairs of parallel sides - rhombus)

Step4 (corrected for the fourth definition, assuming "consecutive" sides equal): "A _ is a quadrilateral with two distinct pairs of consecutive sides equal." → kite (definition of kite)

Step5: For isosceles trapezoid: a trapezoid with non - parallel sides equal, rectangle: a parallelogram with right angles.

Answer:

1. "A _ is a quadrilateral with exactly one pair of parallel sides." → trapezoid
2. "A _ is a regular quadrilateral." → square
3. "A _ is an equilateral quadrilateral with two pairs of parallel sides." → rhombus
4. "A _ is a quadrilateral with two distinct pairs of consecutive sides equal." → kite

(And for the remaining terms: "isosceles trapezoid" - trapezoid with non - parallel sides equal; "rectangle" - parallelogram with right angles)