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# Math Terms

### Terms for Geometry Honors

Transversal A line, ray, or segment that intersects two or more coplanar lines, rays, or segments, each at a different point
Corresponding angles Two non-adjacent angles, one interior and one exterior, that lie on the same side of a transversal
Same-side interior angles Interior angles that lie on the same side of a transversal
Same-side exterior angles Exterior angles that lie on the same side of a transversal
Alternate interior angles Two non-adjacent interior angles that lie on opposite sides of a transversal
Alternate exterior angles Two non-adjacent exterior angles that lie on opposite sides of a transversal
Midsegment of a triangle A segment whose end points are the mid points of two sides
Midsegment of a trapezoid A line connecting the mid points of the two non-parallel segments of a trapezoid
Polygons A closed plain figure formed from three or more segments such that each segment intersects exactly two other segments, one at each end point, and not two segments with a common end point are collinear
Equilateral A polygon in which all sides are congruent
Equiangular A polygon in which all angles are congruent
Regular polygon A polygon that is both equilateral and equiangular
Center The point that is equidistant from all vertices of a polygon
Central angle An angle whose vertex is the center of the polygon and whose sides pass through adjacent vertices
Reflectional symmetry A plain figure has reflectional symmetry if its reflection image across a line coinsides with the preimage, the original figure
Rotational symmetry A figure has rotational symmetry if and only if it has at least one rotation image, not counting rotation images of zero degrees or multiples of 360 degrees, that coinsides with the original figure
Concave polygon a polygon that is not convex
Convex polygon A polygon in which any line segment connecting two points of the polygon has no part outside the polygon
Corresponding sides sides of a polygon that are matched up with sides of another polygon with the same number of angles
Trapezoid A quadrilateral with one and only one pair of parallel sides
Parallelogram A quadrilateral with two pairs of parallel sides
Rhombus A quadrilateral with four congruent sides
Rectangle A quadrilateral with four right angles
Square A quadrilateral with four congruent sides and four right angles
Slope The ratio of rise to run for a segment;the slope of a non-vertical line that contains the points
Sum of the exterior angles of a polygon The sum of the measures of the exterior angles of a polygon is 360 degrees
Measure of an exterior angle of a regular polygon 180 degrees multiplied by the number of sides minus two
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 degrees- (360 degrees/n)
Polygon congruence postulate Two polygons are congruent if and only if there is a way of setting up a correspondence between their sides and angles, in order such that all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent
SSS If the sides of one triangle are congruent to the sides of another triangle, then the two triangles are congruent
SAS If two sides and their included angle in one triangle are congruent to two sides and their included angle in another triangle, then the two triangles are congruent
ASA If two angles and their included side in one triangle are congruent to two angles and their included side in another triangle then the two triangles are congruent
AAS If two angles and a non-included side of one triangle, are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent
HL If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the two triangles are congruent
CPCTC Corresponding of parts of congruent triangles are congruent- it is used to prove that two triangles are congruent
Midpoint formula (X1 + X2)/2, (Y1 + Y2)/2
Midsegment formula for a trapezoid A segment whose end points are the midpoints of the non-parallel sides 1/2(base1+base2)
Sum of the interior angles of a polygon
Corresponding Angles angles of a polygon that are matched up with angles of another polygon with the same number of angles
Corresponding angles postulate If two lines cut by a transversal are parallel, then corresponding angles are congruent
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
Alternate interior angles theorem If two lines cut by a transversal are parallel, then alternate interior angles are congruent
Alternate exterior angles theorem If two lines are cut by a transversal are parallel, alternate exterior angles are congruent
Same-side interior angles theorem If two lines cut by a transversal are parallel, then same-side interior angles are supplementary
Converse of the Alternate interior angles theorem If two lines are cut by a transversal in such away that alternate interior angles are congruent, then the two lines are parallel
Converse of the Alternate exterior angles theorem If two lines cut by a transversal are parallel, then same-side exterior angles are congruent, then the two lines are parallel
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 the two lines are parallel
Triangle Sum theorem The sum of the measures of a triangle is 180 degrees
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
Parallel lines theorem In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope
Perpendicular lines theorem In a coordinate plane, two non-vertical lines are perpendicular if and only if the products of their slopes is - 1
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 byu s= (n-2) 180 degrees
Created by: Matt Arledge