Podcast
Questions and Answers
Which of the following shapes have both pairs of opposite sides parallel?
Which of the following shapes have both pairs of opposite sides parallel?
- Square (correct)
- Rhombus (correct)
- Parallelogram (correct)
- Rectangle (correct)
Which shapes have exactly 1 pair of opposite sides?
Which shapes have exactly 1 pair of opposite sides?
- Trapezoid (correct)
- Isosceles Trapezoid (correct)
- Rhombus
- Kite
What shape has no sides parallel?
What shape has no sides parallel?
Kite
Which of the following shapes have both pairs of opposite sides congruent?
Which of the following shapes have both pairs of opposite sides congruent?
Which shape has exactly 1 pair of opposite sides congruent?
Which shape has exactly 1 pair of opposite sides congruent?
Which shapes are known for having all sides congruent?
Which shapes are known for having all sides congruent?
What shape has exactly two pairs of adjacent congruent sides?
What shape has exactly two pairs of adjacent congruent sides?
Which shapes have both pairs of opposite angles congruent?
Which shapes have both pairs of opposite angles congruent?
Which shape has exactly 1 pair of opposite angles congruent?
Which shape has exactly 1 pair of opposite angles congruent?
Which shapes are known for having all angles congruent?
Which shapes are known for having all angles congruent?
Which shapes have consecutive angles that are supplementary?
Which shapes have consecutive angles that are supplementary?
Which shapes have diagonals that are congruent?
Which shapes have diagonals that are congruent?
Which shapes have diagonals that bisect each other?
Which shapes have diagonals that bisect each other?
Which shapes have diagonals that are perpendicular?
Which shapes have diagonals that are perpendicular?
Which shapes have diagonals that bisect the angles?
Which shapes have diagonals that bisect the angles?
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Study Notes
Types of Quadrilaterals
- Both pairs of opposite sides parallel: Identified in parallelogram, rhombus, square, and rectangle.
- Exactly 1 pair of opposite sides parallel: Found in trapezoid and isosceles trapezoid.
- No sides parallel: Characteristic of a kite.
Congruency Properties
- Both pairs of opposite sides congruent: Present in parallelogram, square, rectangle, and rhombus.
- Exactly 1 pair of opposite sides congruent: Applicable to isosceles trapezoid.
- All sides congruent: Found in rhombus and square.
- Exactly two pairs of adjacent congruent sides: A defining trait of a kite.
Angle Properties
- Both pairs of opposite angles congruent: Applicable to parallelogram, square, rhombus, and rectangle.
- Exactly 1 pair of opposite angles is congruent: Seen in kites.
- All angles congruent: Found in squares and rectangles.
- Consecutive angles supplementary: A property of rectangles, squares, parallelograms, and rhombuses.
Diagonal Properties
- Diagonals congruent: Observable in rectangle, square, and isosceles trapezoid.
- Diagonals bisect each other: Characteristic of parallelogram, square, rectangle, and rhombus.
- Diagonals perpendicular: Occurs in squares, kites, and rhombuses.
- Diagonals bisect the angles: Present in rhombus and square.
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