Corollaries Flashcards
if two angles of one triangle are congruent to two angles of another triangle, then…
the third angles are congruent
equiangular triangles?
each angle of an equiangular triangle has measure 60
whats special about triangles and right and obtuse angles?
in a triangle, there can be at most one right angle or obtuse angle
what’s special about the acute angles in a right triangle?
the acute angles of a right triangle are complementary
equilateral triangles are..
also equiangular
angles in an equilateral triangle?
an equilateral triangle has three 60 angles
what’s special about the bisector of the vertex of isos triangle
the bisector of the vertex angle of an isosceles triangle is perpendicular to the base at its midpoint
an equiangular triangle is also…
equilateral
shortest segments from point to line and point to plane
the perpendicular segment form a point to a line is the shortest segment from the point to the line
the perpendicular segment from a point to a plane is the shortest segment from the point to the plane
proportional transverals
if three parallel lines intersect two transversals, then they divide the transversals proportionally
geometric means from altitude and leg
when the altitude is drawn to eh hypotenuse of a right triangle, the length of the altitude is the geometric mean between the segments of the hypotenuse
when the altitude is drawn to the hypotenuse of a right triangle each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse that is adjacent to that leg
special about tangents form the same point?
tangents to a circle from a point are congruent
inscribed angles corollaries? (2)
if two inscribed angles intercept the same arc, then the angles are congruent
an angle inscribed in a semicircle is a right angle
whats special about a quad inscribed in a circle
if a quadrilateral is inscribed in a circle, then its opposite angles are supplementary
