Geometry Chapter 11 Vocabulary Flashcards

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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?

The distance around the circle. Signup and view all the answers

What is arc length?

A portion of the circumference of a circle. Signup and view all the answers

Define sector of a circle.

The region bounded by two radii of the circle and their intercepted arc. Signup and view all the answers

What is the center of a polygon?

It is also the center of the circle. Signup and view all the answers

What is the radius of a polygon?

It is also the same as the radius of a circle. Signup and view all the answers

What is the apothem of a polygon?

The height to the base of an isosceles triangle that has two radii as legs. Signup and view all the answers

Define the central angle of a regular polygon.

An angle formed by two radii drawn to consecutive vertices of the polygon. Signup and view all the answers

What is probability?

The measure of the likelihood that the event will occur. Signup and view all the answers

Define geometric probability.

Ratio that involves a geometric measure such as length or area. Signup and view all the answers

What does the area of a square postulate state?

The area of a square is the square of the length of its side. Signup and view all the answers

What is the area congruence postulate?

If two polygons are congruent, then they have the same area. Signup and view all the answers

What does the area addition postulate state?

The area of a region is the sum of the areas of its non-overlapping parts. Signup and view all the answers

What is the area of a rectangle?

The area of a rectangle is the product of its base and height. Signup and view all the answers

What is the area of a parallelogram?

The area of a parallelogram is the product of a base and its corresponding height. Signup and view all the answers

What is the area of a triangle?

The area of a triangle is one half the product of a base and its height. Signup and view all the answers

What is the area of a trapezoid?

The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases. Signup and view all the answers

What is the area of a rhombus?

The area of a rhombus is one half the product of the lengths of its diagonals. Signup and view all the answers

What is the area of a kite?

The area of a kite is one half the product of the lengths of its diagonals. Signup and view all the answers

What is the relationship regarding areas of similar polygons?

If two polygons are similar with the lengths of corresponding sides in the ratio of a to b, then the ratio of their area is a^2 to b^2. Signup and view all the answers

What is the circumference of a circle?

The circumference C of a circle is pi times the diameter or two times pi times the radius. Signup and view all the answers

What is the arc length corollary?

In a circle, the ratio of the length of a given arc to the circumference is equal to the ratio of the measure of the arc to 360 degrees. Signup and view all the answers

What is the area of a circle?

The area of a circle is pi times the square of the radius. Signup and view all the answers

What is the area of a sector?

The ratio of the area of a sector of a circle to the area of the whole circle is equal to the ratio of the measure of the intercepted arc to 360 degrees. Signup and view all the answers

What is the area of a regular polygon?

The area of a regular n-gon with side length s is one half the product of the apothem a and the perimeter P. Signup and view all the answers

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!