NCSSM

Cards (236)

  • Tangent
    Correct answer: intersects a circle in only 1 place
  • Secant - correct answer intersects a circle in 2 places
  • Intersection of a tangent and a radius - correct answer forms right angles when they intersect
  • Equation of a circle - correct answer x minus h squared plus y minus k squared equals radius squared
  • Circumference of a circle - correct answer 2 times pi times radius or pi times diameter
  • Area of a circle - correct answer pi times radius squared
  • Central angle - correct answer is equal to its intercepted arc
  • Inscribed angle - correct answer is equal to ½ its intercepted arc
  • Angle formed by 2 chords intersecting in a circle - correct answer is equal to the sum of the arcs divided by 2
  • Angle formed by 2 secants - correct answer is equal to the major arc minus the minor arc divided by 2
  • Angle formed by a secant and a tangent - correct answer is equal to the major arc minus the minor arc divided by 2
  • Angle formed by two tangents - correct answer is equal to the major arc minus the minor arc divided by 2
  • Lengths of 2 intersecting chords - correct answer part of the first chord times the other part of the first chord equals a part of the second chord times the other part of the second chord
  • Lengths of an intersecting diameter and chord that meet at right angles (perpendicular) - correct answer if a diameter meets a chord at a right angle (perpendicular), the diameter divides the chord into 2 equal parts
  • Lengths of 2 intersecting secants - correct answer the whole length of the first secant times the outside length of the first secant equals the whole length of the second secant times the outside length of the second secant
  • Lengths of an intersecting secant and tangent - correct answer the whole length of the first secant times the outside length of the first secant equals the length of the tangent squared
  • Lengths of intersecting tangents - correct answer Tangents to a circle sharing a common vertex are equal
  • Angles - correct answer acute angles are less than 90 degrees, right angles are 90 degrees, obtuse angles are between 90 and 180 degrees, straight angles are 180 degrees, and reflex angles are greater than 180 degrees
  • Adjacent angles - correct answer share a common vertex, a common side, but not common interior points
  • Complementary angles - correct answer 2 angles when added together that equal 90 degrees, they do not have to be adjacent angles
  • Supplementary angles - correct answer 2 angles when added together that equal 180 degrees, they do not have to be adjacent angles
  • Vertical angles - correct answer vertical angles are congruent
  • Alternate interior angles - correct answer alternate interior angles are congruent
  • Corresponding angles - correct answer corresponding angles are congruent
  • Sum of the angles in a triangle - correct answer the 3 angles of a triangle add up to 180 degrees
  • Triangles classified by sides - correct answer scalene triangles have no equal sides, isosceles triangles have at least 2 equal sides, equilateral triangles have 3 equal sides
  • Triangles classified by angles - correct answer acute triangles have 3 acute angles, right triangles have a 90 degree and 2 acute angles, obtuse triangles have an obtuse and 2 acute angles
  • Exterior angle of a triangle - correct answer the exterior angle of a triangle equals the sum of the 2 opposite interior angles
  • Isosceles triangles - correct answer sides opposite congruent angles are congruent, angles opposite congruent sides are congruent
  • Triangle inequality theorem - correct answer the sum of 2 sides of a triangle must be greater than the 3rd side
  • Mid segment of a triangle - correct answer a mid segment connects the midpoint of 2 sides of a triangle and is equal to ½ the side not containing the 2 midpoints
  • Median - correct answer bisects the opposite side into 2 congruent line segments, they meet in a triangle at a point called the centroid, median segments are in a ratio of 2 to 1
  • Angle bisector - correct answer bisects an angle into 2 congruent angles
  • Altitude - correct answer makes a right angle with the opposite side, they meet in a triangle at a point called the orthocenter
  • Perpendicular bisector - correct answer bisects and makes a right angle with a side of a triangle, they meet in a triangle at a point called the circumcenter
  • Similar triangles - correct answer angles in similar ( ∼ ) triangles are congruent, sides are in proportion, angles are in a proportion of one to one (1:1)
  • Proving triangles similar - correct answer need only 2 angles to be congruent to prove 2 triangles similar
  • Proving triangles congruent - correct answer cannot be angle angle side (A.S.S.) or side side angle(S.S.A.), C.P.C.T.C. - correct answer corresponding parts of congruent triangles are congruent
  • Pythagorean theorem - correct answer a squared plus b squared equals c squared, the hypotenuse is always c
  • Proving right triangles congruent - correct answer hypotenuse leg