a triangle with all acute angles acute triangle angles that share a common side and vertex adjacent angles alternate exterior angles
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1 acute triangle a triangle with all acute angles adjacent angles angles that share a common side and vertex alternate exterior angles two non-adjacent exterior angles on opposite sides of the transversal; if transversal intersects parallel lines they are congruent alternate interior angles altitude of a triangle two non-adjacent interior angles on opposite sides of the transversal; if transversal intersects parallel lines they are congruent the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side
2 angle a figure formed by two rays with a common endpoint called the vertex central angle of a regular polygon is an angle formed by radii drawn to two consecutive vertices circumcenter of a triangle the point of concurrency of the perpendicular bisectors of the three sides of a triangle collinear points that lie on the same line complementary angles two angles whose measures have a sum of 90 degrees
3 compositions of transformations multiple transformations performed on an image concurrent a point where three or more lines intersect at one point congruent having the same size and shape construction a geometric drawing created using only a compass and a straight edge coplanar points and lines that lie in the same plane
4 corresponding angles lie on the same side of the transversal and in corresponding positions; if transversal intersects parallel lines they are congruent dilation a transformation that changes the size of an object, but not the shape; not an isometry directed line segment a line segments named by its starting point and ending point equal having the same numerical value equidistant same distance from a point of line as another point or line.
5 equilateral triangle has three equal sides, each of the angles measures 60 exterior angle an angle outside the polygon formed by a side and an extension of an adjacent side image the figure you get after a transformation incenter the point of concurrency of the three angle bisectors of a triangle interior angle formed by two sides of a polygon, the sum of the angles in degrees of any polygon is 180(n-2) where n is the number of sides
6 isometry transformation that preserves lengths, angle measures, parallel lines, and distances between points isosceles triangle a triangle in which at least two sides have the same length line a straight object that is infinitely long and infinitely thin; a straight path that extends without end in opposite directions; in coordinate geometry y = mx + b linear pair two angles that are adjacent to each other and are supplementary line segment two points and all of the points on the line connecting them, named by its two endpoints
7 mapping of a transformation the pairing of every point in a preimage with a point in an image median of a triangle segment from a vertex to the midpoint of the opposite side midpoint the point that is halfway between the endpoints of the line segment obtuse triangle a triangle with one obtuse angle opposite ray two rays that have a common endpoint and form a line
8 parallel two lines that are in the same plane, but do not intersect parallel lines two lines that are in the same plane, but do not intersect, have the same slope perpendicular lines that intersect at right angles perpendicular bisector a ray, line, segment, or plane that is perpendicular to a segment at its midpoint plane a flat surface that extends without end in all directions; infinite number of connected lines in a flat surface; 2D
9 point a specific location in space that has no size or shape; named with a capital letter polygon a closed plane figure formed by three or more line segments preimage in a transformation, it is the original figure. radius a segment whose endpoints are the center and any point on the circle. ray a portion of a line that begins at one endpoint and extends without end in one direction only
10 reflection an isometry that flips the figure over a line right triangle a triangle with one right angle rigid motion preserves distance and angle measures rotation an isometry that turns a figure about a fixed point scalene triangle a triangle with no congruent sides
11 segment bisector a ray, line, segment, or plane that divides a segment into two parts of equal measure similarity two polygons are similar if and only if their corresponding angles are equal and their corresponding sides are proportional. skew lines that do not intersect and are not coplanar supplementary angles two angles whose measures have a sum of 180 degrees transformation the moving of a figure by a translation (slide), rotation (turn) or reflection (flip)
12 translation an isometry that "slides" each point of a figure the same distance in the same direction; (x+a, y+b) transversal a line that intersects two coplanar lines triangle consists of three straight side whose three angles always add up to 180 triangle inequality theorem vertical angles the sum of the lengths of ANY two sides of a triangle must be greater than the length of the third side angles that are formed by two intersecting lines but are NOT adjacent; measures are congruent
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