Math Vocabulary Flashcards
2 lines are parallel if they lie on he same plane and don’t intersect.
Parallel lines
lines that do not lie in the same plane
Skew lines
planes that do not intersect
Parallel planes
a line that intersects 2 or more lines at distinct points
Transversal
angles are non-adjacent angles that lie on opposite sides of the traversal.
Alternate interior angles
lie on the same side of the traversal(t) and between(l) and (m)
same side interior angles
lie on the same side of the traversal(t) and in corresponding positions relative to (l) and (m)
corresponding angles
Nonadjacent interior angles that lie on the opposite side of the transversal
Alternate interior angles
arrows show the logical connections between the statements
flow proof
line that is added to a diagram to help explain relationships in proofs
auxiliary lines
an angle formed by a side and an extension of an adjacent side
exterior angle of a polygon
2 nonadjacent interior angles corresponding to each exterior angle of a triangle
remote interior angles
ratio of its vertical change in coordinate plane to corresponding horizontal change(rise/run)
slope
linear equation is (y=mx+b) Where (m) is the slope of the line and (b) is the y-intercept
slope intercept form
non vertical line with slope(m) and through point (xsub(1),ysub (1)) is y-ysub(1)=m(x-xsun(1))
point slope form
a polygon with or triangle whose sides are all congruent.
equilateral polygon
a polygon or triangle whose sides are all congruent
quadrangular polygon
polygon that is both equilateral and quadrangular. Its center is the point that is equidistant from its vertices
regular polygon
quadrilateral with 2 pairs of parallel sides
parallelogram
two sides that don’t share a vertex
opposite sides
two angles that don’t share a side
opposite angles
polygon share a common side
consecutive angles
parallelogram with four congruent sides
rhombus
parallelogram with four right angles
rectangle
parallelogram with four congruent sides and four right angles
square
quadrilateral with exactly one pair of parallel sides, the bases.
trapezoid
see cone, isosceles triangle, parallelogram, prism,pyramid, trapezoid, triangle
Bases
see isosceles triangle, right triangle and trapezoid
Leg
see trapezoid, isosceles triangle
base angles
whose non parallel opposite sides are congruent
Isosceles trapezoid
segment that joins the midpoints of the nonparallel opposite sides of the trapezoid
mid segment of a trapezoid
Quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent
Kite
a figure is drawn and coordinate plane ad the formulas for slope, midpoint, and distance are used to prove properties
Coordinate proof
set of three nonzero who numbers a,b,c that satisfy the Pythagorean theorem
Pythagorean triple
Sin A=leg opposite<a></a>
sine
Cos A= leg adjacent<a></a>
cosine
Tan A= leg opposite<a></a>
tangent
an angle of elevation or depression is the angle formed by a horizontal line and the line of sight to an object below the horizontal line
Angle of elevation
In triangle ABC, let a,b,c represent lengths of the sides opposite angle
law of sines
change in the position,size, and shape if a geometric figure
transformation
the given figure
preimage
resulting figure
Image
a transformation in the plane that perseveres distance and angle measures
Rigid motion
transformation that moves parts the same distance and in the same distance
translation
2 transformations in which a second transformation is performed on the image of a first transformation
translation
across a line(r), called the line of reflection, is a transformation such that if a point A is on line r, then the image A is itself, and if point B is not on line r, then its image B is the point such that r is perpendicular bisector of segment BB’
reflection
