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Plane Figures in Plane Geometry

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Questions and Answers

What is a plane figure in geometry?

A figure that can be drawn on a three-dimensional surface
A figure that can be drawn on a one-dimensional surface
A figure that can be drawn on a two-dimensional surface (correct)
A figure that can be drawn on a four-dimensional surface

What are the vertices of a polygon?

The line segments making up the polygon
The exterior angles of the polygon
The interior angles of the polygon
The endpoints of each side of the polygon (correct)

What is an equiangular polygon?

A polygon with all angles congruent (correct)
A polygon with adjacent sides equal
A polygon with adjacent angles congruent
A polygon with all sides equal

What is the diagonal of a polygon?

A line segment joining two non-adjacent vertices of the polygon (A) Signup and view all the answers

What is an interior angle of a polygon?

An angle formed by two adjacent sides inside the polygon (D) Signup and view all the answers

What is a regular polygon?

A polygon with both equiangular and equilateral properties (B) Signup and view all the answers

What type of polygon has at least one interior angle that measures more than 180°?

Concave polygon (A) Signup and view all the answers

In a convex polygon, how many sides will a line intersect at most when drawn through the polygon?

Two sides (B) Signup and view all the answers

What is the property of similar polygons regarding their corresponding sides and angles?

Corresponding angles are equal, and corresponding sides are proportional (B) Signup and view all the answers

What is the formula for finding the perimeter (P) of a regular polygon with n sides, each of length s?

$P = n \times s$ (D) Signup and view all the answers

How can the area of a regular polygon be calculated?

By dividing the polygon into triangles and finding the sum of their areas (C) Signup and view all the answers

What is the formula for the number of diagonals (D) in a polygon with n sides?

$D = \frac{n \times (n - 3)}{2}$ (A) Signup and view all the answers

What is the apothem of a regular polygon?

A line segment from the center to the midpoint of one of its sides (B) Signup and view all the answers

What does 'IA' stand for in 'SIA' when referring to a regular polygon?

$1260^\circ$ Angle (C) Signup and view all the answers

What is the formula for finding the sum of interior angles in a polygon with n sides?

$SIA = (n - 2) \times 180^\circ$ (B) Signup and view all the answers

What is a central angle in relation to a regular polygon?

$360^\circ$ angle formed by lines drawn from the center to two side adjacent vertices (B) Signup and view all the answers