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NCSSM PLACEMENT TEST QUESTIONS
AND ANSWERS
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- form
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.
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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.
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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 instersecting 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.
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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.
NCSSM PLACEMENT TEST QUESTIONS
AND ANSWERS
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- form
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.
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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.
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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 instersecting 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.
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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.
