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NCSSM PLACEMENT TEST 2026
ACTUAL QUESTIONS WITH VERIFIED
ANSWERS.
Tangent - ANSWER-intersects a circle in only 1 place.
Secant - ANSWER-intersects a circle in 2 places.
Intersection of a tangent and a radius - ANSWER-form right
angles when they intersect.
Equation of a circle - ANSWER-x minus h squared plus y minus
k squared equals radius squared.
Circumference of a circle - ANSWER-2 times pi times radius or
pi times diameter.
Area of a circle - ANSWER-pi times radius squared.
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Central angle - ANSWER-is equal to its intercepted arc.
Inscribed angle - ANSWER-is equal to ½ its intercepted arc.
Angle formed by 2 chords intersecting in a circle - ANSWER-is
equal to the sum of the arcs divided by 2.
Angle formed by 2 secants - ANSWER-is equal to the major arc
minus the minor arc divided by 2.
Angle formed by a secant and a tangent - ANSWER-is equal to
the major arc minus the minor arc divided by 2.
Angle formed by two tangents - ANSWER-is equal to the major
arc minus the minor arc divided by 2.
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Lengths of 2 intersecting chords - 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) - 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 - 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 instersecting secant and tangent - 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 - ANSWER-Tangents to a
circle sharing a common vertex are equal.
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Angles - 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 - ANSWER-share a common vertex, a
common side, but not common interior points.
Complementary angles - ANSWER-2 angles when added
together that equal 90 degrees.
They do not have to be adjacent angles.
Supplementary angles - ANSWER-2 angles when added
together that equal 180 degrees.They do not have to be
adjacent angles.
Vertical angles - ANSWER-vertical angles are congruent.
Alternate interior angles - ANSWER-alternate interior angles
are congruent.
NCSSM PLACEMENT TEST 2026
ACTUAL QUESTIONS WITH VERIFIED
ANSWERS.
Tangent - ANSWER-intersects a circle in only 1 place.
Secant - ANSWER-intersects a circle in 2 places.
Intersection of a tangent and a radius - ANSWER-form right
angles when they intersect.
Equation of a circle - ANSWER-x minus h squared plus y minus
k squared equals radius squared.
Circumference of a circle - ANSWER-2 times pi times radius or
pi times diameter.
Area of a circle - ANSWER-pi times radius squared.
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Central angle - ANSWER-is equal to its intercepted arc.
Inscribed angle - ANSWER-is equal to ½ its intercepted arc.
Angle formed by 2 chords intersecting in a circle - ANSWER-is
equal to the sum of the arcs divided by 2.
Angle formed by 2 secants - ANSWER-is equal to the major arc
minus the minor arc divided by 2.
Angle formed by a secant and a tangent - ANSWER-is equal to
the major arc minus the minor arc divided by 2.
Angle formed by two tangents - ANSWER-is equal to the major
arc minus the minor arc divided by 2.
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Lengths of 2 intersecting chords - 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) - 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 - 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 instersecting secant and tangent - 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 - ANSWER-Tangents to a
circle sharing a common vertex are equal.
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Angles - 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 - ANSWER-share a common vertex, a
common side, but not common interior points.
Complementary angles - ANSWER-2 angles when added
together that equal 90 degrees.
They do not have to be adjacent angles.
Supplementary angles - ANSWER-2 angles when added
together that equal 180 degrees.They do not have to be
adjacent angles.
Vertical angles - ANSWER-vertical angles are congruent.
Alternate interior angles - ANSWER-alternate interior angles
are congruent.
