Podcast
Questions and Answers
What is a trapezoid?
What is a trapezoid?
- A quadrilateral with four right angles
- A quadrilateral with both pairs of opposite sides parallel
- A quadrilateral with four congruent sides
- A quadrilateral with exactly one pair of parallel sides (correct)
What defines a parallelogram?
What defines a parallelogram?
A quadrilateral with both pairs of opposite sides parallel
What is a rhombus?
What is a rhombus?
A parallelogram with 4 congruent sides
What is true about a rectangle?
What is true about a rectangle?
What is a square?
What is a square?
What defines a kite in geometry?
What defines a kite in geometry?
What is a quadrilateral?
What is a quadrilateral?
What is the total measure of all angles in a quadrilateral?
What is the total measure of all angles in a quadrilateral?
What are parallel lines?
What are parallel lines?
Which two quadrilaterals always have 4 congruent sides?
Which two quadrilaterals always have 4 congruent sides?
Which two quadrilaterals always have 4 right angles?
Which two quadrilaterals always have 4 right angles?
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Study Notes
Types of Quadrilaterals
- Trapezoid: A quadrilateral with exactly one pair of parallel sides.
- Parallelogram: A quadrilateral where both pairs of opposite sides are parallel.
Specific Quadrilateral Categories
- Rhombus: A type of parallelogram characterized by four congruent sides.
- Rectangle: A parallelogram with four right angles and opposite sides that are congruent.
- Square: A unique form of parallelogram featuring both four congruent sides and four right angles.
- Kite: A quadrilateral with adjacent sides that are congruent and one pair of opposite congruent angles; it has no parallel sides.
General Definitions
- Quadrilateral: A polygon with four sides.
- Interior Angles of Quadrilaterals: The sum of all interior angles in a quadrilateral is 360 degrees.
- Parallel Lines: Two lines that maintain the same distance apart at every point, never intersecting.
Identifying Features
- Rhombus Features: Four congruent sides, no right angles, two pairs of parallel sides.
- Square Features: Four congruent sides, four right angles, two pairs of parallel sides.
- Rectangle Features: Four right angles, opposite sides are congruent, two pairs of parallel sides.
- Kite Features: Adjacent sides are congruent, lacks any parallel sides.
Comparisons of Quadrilaterals
- Congruent Sides: Rhombus and Square always have four congruent sides.
- Right Angles: Rectangle and Square are the two quadrilaterals that always possess four right angles.
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