unit 4 test Flashcards
(25 cards)
_____ are polygons in which their corresponding angles and sides are congruent.
Congruent polygons
A(n) _____ is any side of a polygon that shares a side with only one angle of a pair of angles.
nonincluded side
An interior angle of a polygon that is not adjacent to a particular exterior angle is a(n) _____.
remote interior angle
A polygon in which none of its diagonals contain points in the exterior of the polygon is a(n) _____.
convex polygon
A polygon that is both equiangular and equilateral is a(n) _____.
regular polygon
A(n) _____ is an angle formed by the intersection of two adjacent sides of a polygon.
included angle
A statement whose proof can be deduced directly from a previous theorem is a(n) _____.
corollary
A segment that joins any two nonadjacent vertices of a polygon is a(n) _____.
diagonal of a polygon
_____ sides or angles are in the same relative position on two different polygons that have the same number of sides and angles.
Corresponding
A polygon in which any of its diagonals contain points in the exterior of the polygon is a(n) _____.
concave polygon
A triangle with at least two congruent sides is a(n) _____.
isosceles triangle
A polygon that is equiangular but not equilateral, or equilateral but not equiangular, or neither equiangular nor equilateral is a(n) _____.
irregular polygon
Congruent polygons are polygons in which their _____ angles and sides are congruent.
corresponding
The _____ of a right triangle is the side opposite the right angle.
hypotenuse
Angles formed in the interior of a polygon are called _____.
interior angles
The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a convex polygon with n
sides is _____.
(n-2)180
The Third Angles Theorem states that if two angles of one triangle are congruent to two angles of a second triangle, then the third angle of the first triangle will also be congruent to the _____ angle of the second triangle.
third
A corollary to the Triangle Sum Theorem states that the measure of each angle of an equilateral triangle is _____.
60
An angle formed in the exterior of a polygon by a side of the polygon and the extension of a consecutive side is a(n) _____.
exterior angle
A special kind of triangle with no congruent sides.
scalene
The Polygon Exterior Angle sum Theorem states that the sum of the measures of the exterior angles, one angle at each vertex, of a convex polygon is _____.
360
A closed plane figure formed by three or more line segments, such that each segment intersects exactly two other segments only at their endpoints, and no two segments with a common vertex are collinear is a(n) _____.
polygon
A corollary of the Triangle Sum Theorem states that a triangle can contain no more than one _____ angle or obtuse angle.
right
A corollary of the Triangle Sum Theorem states that the acute angles of a right triangle are _____.
complementary