Geometry Chapter 3 Vocabulary Flashcards
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108760185 | alternate exterior angles | Two nonadjacent exterior angles that lie on opposite sides of a transversal. | 108760185 | |
108760186 | alternate interior angles | Two nonadjacent interior angles that lie on opposite sides of a transversal. | 108760186 | |
108760187 | axis of symmetry | A line that divides a planar figureinto two congruent reflected halves. | 108760187 | |
108760188 | center of a regular polygon | The point that is equidistant from all vertices of a polygon. | 108760188 | |
108760189 | central angle of a regular polygon | An angle formed by two rays originating from the center of a circle. | 108760189 | |
108760190 | concave polygon | A polygon that is not convex. | 108760190 | |
108760191 | convex polygon | A polygon in which any line segment connecting two points of the polygon has no part outside the polygon. | 108760191 | |
108760192 | corresponding angles | Two nonadjacent angles, one interior and one exterior, that lie on the same side of a transversal. | 108760192 | |
108760193 | equiangular polygon | A polygon in which all angles are congruent. | 108760193 | |
108760194 | equilateral polygon | A polygon in which all sides are congruent. | 108760194 | |
108760195 | midsegment of a trapezoid | A line connecting the midpoints of the two nonparallel segments of a trapezoid. | 108760195 | |
108760196 | midsegment of a triangle | A segment whose endpoints are the midpoints of two sides. | 108760196 | |
108760197 | polygon | A closed plane figure formed from three or more segments such that each segment intersects exactly two other segments, one at each endpoint and no two segments with a common endpoint are collinear. | 108760197 | |
108760198 | parallelogram | A quadrilateral with two pairs of parallel sides. | 108760198 | |
108760199 | quadrilateral | A polygon with four sides | 108760199 | |
108760200 | rectangle | A quadrilateral with four right angles. | 108760200 | |
108760201 | reflectional symmetry | A plane figure has reflectional symmetry if its reflection image across a line coincides with the preimage, the original figure. | 108760201 | |
108760202 | regular polygon | A polygon that is both equilateral and equiangular. | 108760202 | |
108760203 | remote interior angle | An interior angle of a triangle that is not adjacent to a given exterior angles. | 108760203 | |
108760204 | rhombus | A quadrilateral with four congruent sides. | 108760204 | |
108760205 | rotational symmetry | A figure has rotational symmetry if and only if it has at least one rotation image, not counting rotation images of 0˚ or multiples of 360˚, that coincides with the original figure. | 108760205 | |
108760206 | same-side interior angles | Interior angles that lie on the same-side of a transversal. | 108760206 | |
108760207 | slope | The ratio of rise to run for a segment; the slope of a nonvertical line that contains the points (x1, y1) is the ratio (y2-y1/x2-x1) | 108760207 | |
108760208 | square | A quadrilateral with four congruent sides and four right angles. | 108760208 | |
108760209 | transversal | A line, ray, or segment that intersects two or more coplanar lines, rays, or segments, each at a different point. | 108760209 | |
108760210 | trapezoid | A quadrilateral with one and only one pair of parallel sides. | 108760210 | |
108767424 | Corresponding Angles Postulate | If two lines cut by a transversal are parallel, then corresponding angles are congruent. | 108767424 | |
108767425 | Alternate Interior Angles Theorem | If two lines cut by a transversal are parallel, then alternate interior angles are congruent. | 108767425 | |
108767426 | Alternate Exterior Angles Theorem | If two lines cut by a transversal are parallel, then same-side interior angles are supplementary. | 108767426 | |
108767427 | Theorem:Converse of the Corresponding Angles Postulate | If two lines are cut by a transversal in such a way that corresponding angles are congruent, then the two lines are parallel. | 108767427 | |
108767428 | Converse of the Same-Side Interior Angles Theorem | If two lines are cut by a transversal in such a way that same-side interior angles are supplementary, then two lines are parallel. | 108767428 | |
108767429 | Converse of the Alternate Interior Angles Theorem | If two lines are cut by a transversal in such a way that alternate interior angles are congruent, then the two lines are parallel. | 108767429 | |
108767430 | Theorem | If two coplanar lines are perpendicular to the same line, then two lines are parallel. | 108767430 | |
108767431 | Theorem | If two lines are parallel to the same line, then the two lines are parallel. | 108767431 | |
108767432 | The Parallel Postulate | Given a line and a point not on the line, there is one and only on line that contains the given point and is parallel to the given line. | 108767432 | |
108767433 | Triangle Sum Theorem | The sum of the measures of the angles of a triangle is 180˚. | 108767433 | |
108767434 | Exterior Angle Theorem | The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. | 108767434 | |
108767435 | Sum of the Interior Angles of a Polygon | The sum,s, of the measures of the interior angles of a polygon with n sides is given by s = (n-2)180˚. | 108767435 | |
108767436 | The Measure of an Interior Angle of a Regular Polygon | The measure, m, of an interior angle of a regular polygon with n sides is m=180˚-360/n. | 108767436 | |
108767437 | Sum of the Exterior Angles of a Polygon | The sum of the measures of the exterior angles of a polygon is 360˚. | 108767437 | |
108767438 | Parallel Lines Theorem | In a coordinate plane, two nonvertical lines are parllel if and only if they have the same slope. | 108767438 | |
108767439 | Perpendicular Lines Theorem | In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. | 108767439 | |
109437795 | Converse of the Alternate Exterior Angles Theorem | If 2 lines are cut by a transversal in such a way that alternate exterior angles are congruent. | 109437795 |