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99 Cards in this Set
- Front
- Back
perpendicular bisector
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a segment, ray, line or plane that is perpendicular to a segment at its midpoint
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equidistant from two points
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the same distance from one point as from another point
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distance from a point to a line
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the length of the perpendicular segment from the point to the line
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equisidant from two lines
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the same distance from one line as from another line
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perpendicular bisector of a triangle
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a line ray or segment that is perpendicular to a side of a triangle at the midpoint of the side
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concurrent lines
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three or more lines that intersect in the same point
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point of concurrency
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the point of intersection of concurrent lines
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circumcenter of a triangle
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the point of concurrency of the perpendicular bisectors of a triangle
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angle bisector of a triangle
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bisector of an angle of the triangle
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incenter of a triangle
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the point of concurrency of the angle bisectors of a triangle
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median of a triangle
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a segment whose end points are a vertex of the triangle and the midpoint of the opposite side
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centroid of a triangle
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the point of concurrency of the medians of a triangle
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altitude of a triangle
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the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side
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orthocenter of a triangle
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the point of concurrency of the lines containing the altitudes of a triangle
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midsegment of a triangle
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a segment that connects the midpoints of 2 sides of a triangle
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indirect proof
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a proof in which you prove that a statement is true by first assuming that its opposite it true. If this assumption leads to an impossibility then you have proved that the original statement is true
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midpoint
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the point divides or bisects a segment into 2 congruent segments
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intersect
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to have one or more points in common
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congruent
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to have the same measure
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polygon
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a plane that meets the following conditions. 1. is formed by 3 or more segments called sides, such that no 2 sides with a common endpoint are collinear 2. each side intersects exactly 2 other sides, 1 at each endpoint
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sides of a polygon
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3 or more segments
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vertex(vertices)
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each endpoint of a side of a polygon
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convex
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a polygon such that no line containing a side of the polygon contains a point in the interior of the polygpn
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nonconvex, concave
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a polygon that is not convex
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equilateral polygon
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polygon with all its sides congruent
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equiangular polygon
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a polygon with all of its interior angles congruent
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regular polygon
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a polygon that is equilateral adn equiangular
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diagonal of a polygon
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a segment that joins 2 nonconsecutive vertices of a polygon
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parallelogram
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a quadrilateral with both pairs of opposite sides parallel symbol is rhombus thing
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rhombus
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a parallelogram with 4 congruent sides
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rectangle
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a parallelogram with 4 right angles
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square
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a parallelogram with 4 congruent sides and 4 right angles
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trapezoid
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a quadrilateral with exactly one pair of parallel sides called bases. Nonparallel sides are legs.
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bases of trapezoid
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one pair of parallel sides
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base angles of a trapezoid
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2 pairs of angles whose common side is the base of a trapezoid
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legs of a trapezoid
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nonparallel sides of a trapezoid
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isosceles trapezoid
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a trapezoid with congruent legs
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kite
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a quadrilateral that has 2 pairs of consecutive congruent sides but inn which opposite sides are not congruent
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polygon
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a plane that meets the following conditions. 1. is formed by 3 or more segments called sides, such that no 2 sides with a common endpoint are collinear 2. each side intersects exactly 2 other sides, 1 at each endpoint
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sides of a polygon
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3 or more segments
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vertex(vertices)
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each endpoint of a side of a polygon
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convex
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a polygon such that no line containing a side of the polygon contains a point in the interior of the polygpn
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nonconvex, concave
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a polygon that is not convex
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equilateral polygon
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polygon with all its sides congruent
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equiangular polygon
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a polygon with all of its interior angles congruent
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regular polygon
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a polygon that is equilateral adn equiangular
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diagonal of a polygon
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a segment that joins 2 nonconsecutive vertices of a polygon
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parallelogram
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a quadrilateral with both pairs of opposite sides parallel symbol is rhombus thing
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rhombus
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a parallelogram with 4 congruent sides
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rectangle
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a parallelogram with 4 right angles
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square
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a parallelogram with 4 congruent sides and 4 right angles
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trapezoid
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a quadrilateral with exactly one pair of parallel sides called bases. Nonparallel sides are legs.
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bases of trapezoid
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one pair of parallel sides
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base angles of a trapezoid
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2 pairs of angles whose common side is the base of a trapezoid
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legs of a trapezoid
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nonparallel sides of a trapezoid
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isosceles trapezoid
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a trapezoid with congruent legs
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kite
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a quadrilateral that has 2 pairs of consecutive congruent sides but inn which opposite sides are not congruent
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image
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the new figure that results from the transformation of a plane
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preimage
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the original figure in the transformation of a plane
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transformation
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the operation that maps, or moves a preimage onto an image. there basic transformation are reflections, rotations and translations
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isometry
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a transformation that preserves lengths also called rigid transformaion
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reflection
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a type of transformation that uses a line that acts like a mirror with an image reflected in the line
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line of reflection
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a line that acts like a mirror with an image reflected in the line
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line of symmetry
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a line that a figure in the plane has if the figure can be mapped onto itself by a reflection in the line
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rotation
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a type of transformation in which a figure is turned about a fixed point
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center of rotation
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the fixed point a figure is turned about on
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angle of rotation
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the angle formed when rays are drawn from the center of rotation to a point and its image
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rotational symmetry
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a figure in the plane has roational symmetry if the figure can be mapped onto itself by a roation of 180 degrees or less
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translation
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a type of transformation that maps every two points P and Q in the plane to point P' and Q' so that the following properties are true. 1. PP'=QQ' 2. PP' parallel QQ' and are collinear
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vector
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a quanity that has both direction and magnitude and is represented by an arrow drawn between 2 points
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initial point
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the starting point of a vector
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terminal point
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the ending point of a vector
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component form
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the form of a vector that combines the horizontal and vertical components of the vector
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glide reflection
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a transformation in which every point P is mapped onto a point P" by the following 2 steps 1. a translatoin maps P onto P' 2. a reflection in a like k parallel to the direction of the translation maps P' onto P"
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composistion
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the result when two or more transformations are combined to produce a single transformation. Ex. glide reflection
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freeze pattern or border pattern
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a pattern that extends to the left and right in such a way that the patter can be mapped onto itself by a horizontal translation
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parallel lines
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two lines that are coplanar and do not intersect. symbol is ||
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ratio
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the quotient a/b if a and b are two quanities that are measured in the same unit. Can also be written as a:b
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proportion
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an equation that equates two ratios ex. a/b=c/d
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extremes
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the first and last terms of a proportion
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means
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the middle terms of a proportion
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similar polygons
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2 polygons such that their corresponding angles are congruent and the lengths of correspond by sides are proportional. the symbol for "is similar to" is ~
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scale factor
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the ratio of the lengths of 2 corresponding sides of 2 similar polygons
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dilation
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a type of transformation
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reduction
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a dilation with O<K<1
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enlargment
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a dialtion with K>1
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pythagonean triple
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a set of 3 positive integers a.b.c that sastify the equation c squared =a square+ b squared
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special right triangle
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right triangles whose angle measures are 45-45-90 or 30-60-90 degrees
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trigonometric ratio
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a ratio of the lengths of 2 sides of a right triangle
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sine
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a trigonometric ratio, abb. as sin.
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cosine
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a trigonometric ratio abb. as cos.
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tangent
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a trigonometric ratio abb. as tan
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angle of elevation
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when you stand and look up at a point in the distance, the angle that your line of sight makes with a line drawn horizontally
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solve a right triangle
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determine the measurments of all sides nad angles of a right triangle
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magnitude of a vector
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the distance from the initial point to the reminal point of a vector.
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direction of a vector
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determined by the angle that the vector makes with a horizontal line
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equal vectors
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two vectors that have the same magnitude and direction
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parallel vectors
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two vectors that have the same or opposite direction
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sum of two vectors
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the sum of U=<a1 b1> and v=<a2b2> is u+v=,a1+a2,b1+b2>
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