Podcast
Questions and Answers
A quadrilateral is _________________ a parallelogram.
A quadrilateral is _________________ a parallelogram.
sometimes
A quadrilateral is _________________ a rectangle.
A quadrilateral is _________________ a rectangle.
sometimes
A rectangle is _________________ a square.
A rectangle is _________________ a square.
sometimes
A square is _________________ a rectangle.
A square is _________________ a rectangle.
A trapezoid is _________________ isosceles.
A trapezoid is _________________ isosceles.
An isosceles trapezoid is _________________ a trapezoid.
An isosceles trapezoid is _________________ a trapezoid.
A quadrilateral is _________________ a rhombus.
A quadrilateral is _________________ a rhombus.
A rhombus is _________________ a square.
A rhombus is _________________ a square.
A square is _________________ a rhombus.
A square is _________________ a rhombus.
A trapezoid is _________________ a rectangle.
A trapezoid is _________________ a rectangle.
An isosceles trapezoid is _________________ a parallelogram.
An isosceles trapezoid is _________________ a parallelogram.
A trapezoid is _________________ a quadrilateral.
A trapezoid is _________________ a quadrilateral.
A rhombus is _________________ a quadrilateral.
A rhombus is _________________ a quadrilateral.
A rhombus is _________________ a parallelogram.
A rhombus is _________________ a parallelogram.
A rectangle is _________________ a parallelogram.
A rectangle is _________________ a parallelogram.
A parallelogram is _________________ a rhombus.
A parallelogram is _________________ a rhombus.
The interior angles of a quadrilateral add up to _________________ degrees.
The interior angles of a quadrilateral add up to _________________ degrees.
Opposite sides of a rhombus are _________________ congruent.
Opposite sides of a rhombus are _________________ congruent.
The only regular quadrilateral (congruent sides and angles) is a _________________.
The only regular quadrilateral (congruent sides and angles) is a _________________.
Opposite sides of a square are _________________ congruent.
Opposite sides of a square are _________________ congruent.
Consecutive sides of a rectangle are _________________ congruent.
Consecutive sides of a rectangle are _________________ congruent.
Opposite sides of a rectangle are _________________ congruent.
Opposite sides of a rectangle are _________________ congruent.
Opposite sides of a parallelogram are _________________ congruent.
Opposite sides of a parallelogram are _________________ congruent.
Opposite sides of a quadrilateral are _________________ congruent.
Opposite sides of a quadrilateral are _________________ congruent.
A quadrilateral with at least one pair of opposite sides parallel is a _________________.
A quadrilateral with at least one pair of opposite sides parallel is a _________________.
A quadrilateral with two pairs of opposite sides parallel is a _________________.
A quadrilateral with two pairs of opposite sides parallel is a _________________.
A quadrilateral with four congruent sides is a _________________.
A quadrilateral with four congruent sides is a _________________.
A quadrilateral with four congruent sides and four congruent angles is a _________________.
A quadrilateral with four congruent sides and four congruent angles is a _________________.
A quadrilateral with four congruent angles is a _________________.
A quadrilateral with four congruent angles is a _________________.
A trapezoid with exactly one pair of congruent legs is an _________________ trapezoid.
A trapezoid with exactly one pair of congruent legs is an _________________ trapezoid.
The parallel sides of a trapezoid are called the _________________.
The parallel sides of a trapezoid are called the _________________.
The nonparallel sides of a trapezoid are called the _________________.
The nonparallel sides of a trapezoid are called the _________________.
Two angles are _________________ if the sum of their measures is 180 degrees.
Two angles are _________________ if the sum of their measures is 180 degrees.
Consecutive interior angles of a square are _________________ supplementary.
Consecutive interior angles of a square are _________________ supplementary.
Diagonals of a square are _________________ congruent.
Diagonals of a square are _________________ congruent.
Diagonals of a rhombus _________________ bisect each other.
Diagonals of a rhombus _________________ bisect each other.
Diagonals of a rhombus are _________________ congruent.
Diagonals of a rhombus are _________________ congruent.
Diagonals of a rectangle are _________________ congruent.
Diagonals of a rectangle are _________________ congruent.
Diagonals of a trapezoid are _________________ congruent.
Diagonals of a trapezoid are _________________ congruent.
Diagonals of an isosceles trapezoid are _________________ congruent.
Diagonals of an isosceles trapezoid are _________________ congruent.
Diagonals of a parallelogram are _________________ congruent.
Diagonals of a parallelogram are _________________ congruent.
Diagonals of rectangle _________________ bisect each other.
Diagonals of rectangle _________________ bisect each other.
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Study Notes
Properties of Quadrilaterals
- A quadrilateral can sometimes be a parallelogram.
- A quadrilateral can sometimes be a rectangle.
- A rectangle can sometimes be a square.
- A square is always a rectangle.
- A trapezoid can sometimes be isosceles.
- An isosceles trapezoid is always a trapezoid.
- A quadrilateral can sometimes be a rhombus.
- A rhombus can sometimes be a square.
- A square is always a rhombus.
- A trapezoid can sometimes be a rectangle due to having at least one pair of parallel sides.
- An isosceles trapezoid is never a parallelogram.
- A trapezoid is always a quadrilateral.
- A rhombus is always a quadrilateral.
- A rhombus is always a parallelogram.
- A rectangle is always a parallelogram.
- A parallelogram can sometimes be a rhombus.
- The interior angles of a quadrilateral add up to 360 degrees.
Congruence and Properties
- Opposite sides of a rhombus are always congruent.
- The only regular quadrilateral, with congruent sides and angles, is a square.
- Opposite sides of a square are always congruent.
- Consecutive sides of a rectangle can sometimes be congruent.
- Opposite sides of a rectangle are always congruent.
- Opposite sides of a parallelogram are always congruent.
- Opposite sides of a quadrilateral can sometimes be congruent.
Types of Quadrilaterals
- A quadrilateral with at least one pair of opposite sides parallel is a trapezoid.
- A quadrilateral with two pairs of opposite sides parallel is a parallelogram.
- A quadrilateral with four congruent sides is a rhombus.
- A quadrilateral with four congruent sides and angles is a square.
- A quadrilateral with four congruent angles is a rectangle.
- A trapezoid with exactly one pair of congruent legs is an isosceles trapezoid.
Trapezoid Properties
- The parallel sides of a trapezoid are called the bases.
- The non-parallel sides of a trapezoid are called the legs.
- Two angles are supplementary if their measures sum to 180 degrees.
- Consecutive interior angles of a square are always supplementary.
Diagonal Properties
- Diagonals of a square are always congruent.
- Diagonals of a rhombus always bisect each other.
- Diagonals of a rhombus are sometimes congruent, specifically if it is a square.
- Diagonals of a rectangle are always congruent.
- Diagonals of a trapezoid are sometimes congruent if it is an isosceles trapezoid.
- Diagonals of an isosceles trapezoid are always congruent.
- Diagonals of a parallelogram are sometimes congruent, depending on whether it is a rectangle or square.
- Diagonals of a rectangle always bisect each other.
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