Questions and Answers
What are the properties of a parallelogram?
Both pairs of opposite sides are congruent, both pairs of opposite sides are parallel, diagonals bisect each other.
What are the properties of a rectangle?
Both pairs of opposite sides are congruent, both pairs of opposite sides are parallel, angles are congruent, diagonals are congruent, diagonals bisect each other.
What are the properties of a rhombus?
All sides are congruent, both pairs of opposite sides are congruent, both pairs of opposite sides are parallel, diagonals are perpendicular, diagonals bisect each other.
What are the properties of a square?
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What are the properties of a kite?
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What are the properties of a trapezoid?
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What does the midsegment theorem state?
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What is the formula for finding the number of sides or exterior angles of a regular polygon?
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Study Notes
Parallelogram
- Opposite sides are congruent.
- Both pairs of opposite sides are parallel.
- Diagonals bisect each other, creating congruent segments.
Rectangle
- Opposite sides are congruent and parallel.
- All angles are congruent (right angles).
- Diagonals are congruent and bisect each other.
Rhombus
- All sides are congruent, maintaining equal length.
- Opposite sides are both congruent and parallel.
- Diagonals intersect at right angles (perpendicular) and bisect each other.
Square
- All sides are congruent, and both sides are parallel.
- All angles are congruent (right angles).
- Diagonals are both congruent and perpendicular, bisecting each other.
Kite
- Has exactly one pair of opposite angles that are congruent.
- Diagonals are perpendicular to each other.
- Diagonals bisect one of the pairs of opposite angles.
Trapezoid
- Features exactly one pair of opposite sides that are parallel.
Midsegment Theorem
- The length of the midsegment (the segment connecting the midpoints of the non-parallel sides) is calculated using the formula: (B1 + B2) / 2, where B1 and B2 are the lengths of the two bases.
Know Two Go Two
- A formula used to find the number of sides or the measure of exterior angles in a regular polygon, expressed as: an = 360.
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Description
Prepare for your Geometry exam with these short answer flashcards covering Chapter 8 concepts. This study guide focuses on key definitions and properties of parallelograms, rectangles, and rhombuses, essential for understanding geometric shapes and their characteristics.
