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Questions and Answers
What is a quadrilateral with both pairs of opposite sides parallel?
What is a quadrilateral with both pairs of opposite sides parallel?
- Rectangle
- Rhombus
- Parallelogram (correct)
- Square
What is a parallelogram with four congruent sides?
What is a parallelogram with four congruent sides?
rhombus
What is a parallelogram with four right angles?
What is a parallelogram with four right angles?
rectangle
What is a parallelogram with four congruent sides and four right angles?
What is a parallelogram with four congruent sides and four right angles?
What is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent?
What is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent?
What is a quadrilateral with exactly one pair of parallel sides?
What is a quadrilateral with exactly one pair of parallel sides?
What do you call a trapezoid whose nonparallel opposite sides are congruent?
What do you call a trapezoid whose nonparallel opposite sides are congruent?
A(n) _____ is a parallelogram with four right angles.
A(n) _____ is a parallelogram with four right angles.
A(n) ______ is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.
A(n) ______ is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.
Angles of a polygon that share a common side are ______.
Angles of a polygon that share a common side are ______.
A(n) ____ is a quadrilateral with exactly one pair of parallel sides.
A(n) ____ is a quadrilateral with exactly one pair of parallel sides.
A(n) ______ is a parallelogram with four congruent sides.
A(n) ______ is a parallelogram with four congruent sides.
The ____ of a trapezoid is the segment that joins.
The ____ of a trapezoid is the segment that joins.
A(n) ____ is a quadrilateral with both pairs of opposite sides parallel.
A(n) ____ is a quadrilateral with both pairs of opposite sides parallel.
A(n) _____ is a parallelogram with four congruent sides and four right angles.
A(n) _____ is a parallelogram with four congruent sides and four right angles.
A(n) ____ is a trapezoid whose nonparallel opposite sides are congruent.
A(n) ____ is a trapezoid whose nonparallel opposite sides are congruent.
Two angles that share a base of a trapezoid are its ____.
Two angles that share a base of a trapezoid are its ____.
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Study Notes
Quadrilaterals Overview
- A quadrilateral is a four-sided polygon with various classifications based on side lengths and angle measures.
Parallelograms
- A parallelogram has both pairs of opposite sides parallel.
- A rhombus is a special type of parallelogram with four congruent sides.
- A rectangle is a parallelogram characterized by having four right angles.
- A square is a parallelogram that possesses both four congruent sides and four right angles.
Other Quadrilaterals
- A kite has two pairs of adjacent sides that are congruent, but no opposite sides are congruent.
- A trapezoid features exactly one pair of parallel sides.
- An isosceles trapezoid is a type of trapezoid where the nonparallel opposite sides are congruent.
Specific Terminology
- Consecutive angles are angles of a polygon that share a common side.
- The midsegment of a trapezoid connects the midpoints of the two parallel sides.
- Base angles are the two angles that share a base in a trapezoid.
Summary of Key Definitions
- Parallelogram: Quad with both pairs of opposite sides parallel.
- Rhombus: Parallelogram with four congruent sides.
- Rectangle: Parallelogram with four right angles.
- Square: Parallelogram with congruent sides and right angles.
- Kite: Quad with two pairs of adjacent congruent sides.
- Trapezoid: Quad with one pair of parallel sides.
- Isosceles trapezoid: Trapezoid with congruent nonparallel sides.
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