NCSSM Placement Test Exam Questions And Answers (Verified And Updated)

NCSSM Placement Test Exam Questions And Answers (Verified And Updated) Tangent - answerintersects a circle in only 1 place. Secant - answerintersects a circle in 2 places. Intersection of a tangent and a radius - answerform right angles when they intersect. Equation of a circle - answerx minus h squared plus y minus k squared equals radius squared. Circumference of a circle - answer2 times pi times radius or pi times diameter. Area of a circle - answerpi times radius squared. Central angle - answeris equal to its intercepted arc. Inscribed angle - answeris equal to ½ its intercepted arc. Angle formed by 2 chords intersecting in a circle - answeris equal to the sum of the arcs divided by 2. Angle formed by 2 secants - answeris equal to the major arc minus the minor arc divided by 2. Angle formed by a secant and a tangent - answeris equal to the major arc minus the minor arc divided by 2. Angle formed by two tangents - answeris equal to the major arc minus the minor arc divided by 2. Lengths of 2 intersecting chords - answerpart 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) - answerif a diameter meets a chord at a right angle (perpendicular), the diameter divides the chord into 2 equal parts. Lengths of 2 intersecting secants - answerthe 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 instersecting secant and tangent - answerthe 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 - answerTangents to a circle sharing a common vertex are equal. Angles - answeracute 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 - answershare a common vertex, a common side, but not common interior points. Complementary angles - answer2 angles when added together that equal 90 degrees. They do not have to be adjacent angles. Supplementary angles - answer2 angles when added together that equal 180 degrees.They do not have to be adjacent angles. Vertical angles - answervertical angles are congruent. Alternate interior angles - answeralternate interior angles are congruent. Corresponding angles - answercorresponding angles are congruent. Sum of the angles in a triangle - answerthe 3 angles of a triangle add up to 180 degrees. Triangles classified by sides - answerscalene triangles have no equal sides. isosceles triangles have at least 2 equal sides. equilateral triangles have 3 equal sides. Triangles classified by angles - answeracute 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 - answerthe exterior angle of a triangle equals the sum of the 2 opposite interior angles. Isosceles triangles - answersides opposite congruent angles are congruent. angles opposite congruent sides are congruent. Triangle inequality theorem - answerthe sum of 2 sides of a triangle must be greater than the 3rd side. Mid segment of a triangle - answera mid segment connects the midpoint of 2 sides of a triangle and is equal to ½ the side not containing the 2 midpoints. Median - answerbisects 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 - answerbisects an angle into 2 congruent angles. they meet in a triangle at a point called the incenter. Altitude - answermakes a right angle with the opposite side. they meet in a triangle at a point called the orthocenter. Perpendicular bisector - answerbisects and makes a right angle with a side of a triangle.They meet in a triangle at a point called the circumcenter. Similar triangles - answerangles in similar (∼) triangles are congruent. sides are in proportion. angles are in a proportion of one to one. (1:1) Proving triangles similar - answerneed only 2 angles to be congruent to probe 2 triangles similar. Proving triangles congruent - answercan not be angle angle side (A.S.S.) or side side angle(S.S.A.). C.P.C.T.C. - answercorresponding parts of congruent triangles are congruent. Pythagorean theorem - answera squared plus b squared equals c squared. the hypotenuse is always c. Proving right triangles congruent - answerhypotenuse leg. Right triangle ratios - answer Slope - answerfrom left to right. up the hill is positive slope. down the hill is negative slope. a horizontal line has 0 slope and a verical line as an undefined slope. Point slope form of a line - answery minus y one equals slope (m) times x minus x one. Slope intercept form of a line - answery equals slope (m) times x plus the y intercept (b) Slope formula - answery two minus y one divided by x two minus x one.