8 Questions
What is a characteristic of a rectangle?
Opposite sides are equal in length
Which of the following is a true statement about a square?
Diagonals are equal in length and bisect each other at 90°
What is a characteristic of a trapezoid?
One pair of opposite sides is parallel
Which of the following is a type of trapezoid?
Isosceles trapezoid
What is a characteristic of a kite?
Two pairs of adjacent sides are of equal length
Which of the following is a type of kite?
Rhombus kite
What is a characteristic of a rhombus?
All sides are equal in length
Which of the following is a true statement about a rhombus?
Diagonals are perpendicular and bisect each other at 90°
Study Notes
Quadrilaterals
Rectangles
- A rectangle is a quadrilateral with four right angles (90°)
- All sides are not equal in length
- Opposite sides are equal in length
- Diagonals are equal in length
- Can be a square if all sides are equal
Squares
- A square is a rectangle with all sides of equal length
- All internal angles are right angles (90°)
- All sides are equal in length
- Diagonals are equal in length and bisect each other at 90°
- A square is a special type of rectangle and rhombus
Trapezoids
- A trapezoid is a quadrilateral with two pairs of opposite sides
- One pair of opposite sides is parallel (called bases)
- The other pair of opposite sides is not parallel (called legs)
- Can be classified as:
- Isosceles trapezoid: legs of equal length
- Scalene trapezoid: all sides of different lengths
Kites
- A kite is a quadrilateral with two pairs of adjacent sides of equal length
- One pair of opposite angles is equal
- The diagonals are perpendicular and one diagonal bisects the other
- Can be classified as:
- Rhombus kite: all sides of equal length
- Non-rhombus kite: not all sides of equal length
Rhombi
- A rhombus is a quadrilateral with all sides of equal length
- Opposite sides are parallel and opposite angles are equal
- Diagonals are perpendicular and bisect each other at 90°
- Can be a square if all internal angles are right angles (90°)
Quadrilaterals
Rectangles
- Have four right angles (90°)
- Opposite sides are equal in length
- Diagonals are equal in length
- Can be a square if all sides are equal
Squares
- Are rectangles with all sides of equal length
- Have all internal angles of 90°
- All sides are equal in length
- Diagonals are equal in length and bisect each other at 90°
- Are a special type of rectangle and rhombus
Trapezoids
- Have two pairs of opposite sides
- One pair of opposite sides is parallel (bases)
- The other pair of opposite sides is not parallel (legs)
- Can be isosceles (legs of equal length) or scalene (all sides of different lengths)
Kites
- Have two pairs of adjacent sides of equal length
- One pair of opposite angles is equal
- Diagonals are perpendicular and one diagonal bisects the other
- Can be a rhombus kite (all sides of equal length) or non-rhombus kite (not all sides of equal length)
Rhombi
- Have all sides of equal length
- Opposite sides are parallel
- Opposite angles are equal
- Diagonals are perpendicular and bisect each other at 90°
- Can be a square if all internal angles are 90°
Learn about the properties of rectangles and squares, including their angles, side lengths, and diagonals. Identify the differences and similarities between these two types of quadrilaterals.
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