Questions and Answers
What are the bases of a parallelogram?
Either pair of parallel sides.
What is the height of a parallelogram?
Perpendicular distance between the bases.
What is the height of a trapezoid?
The perpendicular distance between its bases.
What does circumference refer to?
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What is arc length?
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Define sector of a circle.
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What is the center of a polygon?
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What is the radius of a polygon?
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What is the apothem of a polygon?
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Define the central angle of a regular polygon.
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What is probability?
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Define geometric probability.
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What does the area of a square postulate state?
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What is the area congruence postulate?
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What does the area addition postulate state?
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What is the area of a rectangle?
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What is the area of a parallelogram?
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What is the area of a triangle?
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What is the area of a trapezoid?
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What is the area of a rhombus?
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What is the area of a kite?
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What is the relationship regarding areas of similar polygons?
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What is the circumference of a circle?
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What is the arc length corollary?
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What is the area of a circle?
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What is the area of a sector?
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What is the area of a regular polygon?
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Study Notes
Parallelograms and Trapezoids
- Bases of a Parallelogram: Refers to either pair of parallel sides.
- Height of a Parallelogram: The perpendicular distance between the bases.
- Height of a Trapezoid: The perpendicular distance between its bases.
Circles
- Circumference: The total distance around a circle.
- Arc Length: Represents a portion of the circle's circumference.
- Sector of a Circle: The area enclosed by two radii and their intercepted arc.
Polygons and Their Properties
- Center of a Polygon: Also serves as the center of the circle inscribed around it.
- Radius of a Polygon: Equivalent to the radius of its inscribed circle.
- Apothem of a Polygon: The height from the center to the base of an isosceles triangle formed by two radii.
Angles in Regular Polygons
- Central Angle of a Regular Polygon: Formed by two radii drawn to consecutive vertices.
Probability
- Probability: Measures the likelihood of an event occurring.
- Geometric Probability: Involves ratios relating to geometric measures such as length or area.
Area Formulas
- Area of a Square Postulate: Area equals the square of the length of its side.
- Area Congruence Postulate: Congruent polygons have identical areas.
- Area Addition Postulate: The area of a composite region equals the sum of the areas of its non-overlapping parts.
- Area of a Rectangle: Calculated as the product of its base and height.
- Area of a Parallelogram: Given by the product of any base and its corresponding height.
- Area of a Triangle: One half the product of its base and height.
- Area of a Trapezoid: One half the product of the height and the sum of the lengths of its bases.
- Area of a Rhombus: One half the product of the lengths of its diagonals.
- Area of a Kite: One half the product of the lengths of its diagonals.
- Areas of Similar Polygons: The ratio of areas is the square of the ratio of corresponding sides.
Circle Geometry
- Circumference of a Circle: Calculated as π times the diameter or 2π times the radius.
- Arc Length Corollary: Relates the length of an arc to the circle's circumference and the arc's measure.
- Area of a Circle: π times the square of the radius represents the circle’s area.
- Area of a Sector: The ratio of the sector's area to the entire circle’s area matches the ratio of the intercepted arc to 360 degrees.
Regular Polygons
- Area of a Regular Polygon: One half the product of the apothem and the perimeter.
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Description
Test your knowledge of essential vocabulary in Geometry Chapter 11. This quiz features key terms such as bases of a parallelogram, height, and circumference, helping you solidify your understanding of geometric concepts. Perfect for students preparing for exams or refreshing their memory!