NCSSM Placement Test Questions And Answers Latest Updates
2025/2026 With Correct Answers 100% With Complete Solutions
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One set of parallel sides.
Trapezoid
The top parallel side plus the
other parallel side divided by 2.
Median of a trapezoid
One set of parallel sides.
Non-parallel sides are
Isosceles trapezoid congruent. Base
angles are congruent.
Diagonals are congruent.
Base times the height divided by 2.
Area of a triangle
Base times
height or
Area of a rectangle
length times
width.
Base times height or side squared.
Area of a square
Base times the height
Area of a parallelogram
Base times the height
Area of a rhombus
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½ times the height times the sum
of the 2 parallel sides.
Area of a trapezoid
Dilations are a
capital D.
Transformations
Reflections are a
lower case r.
Rotations are a
capital R.
Translations are a
capital T.
Multiply both coordinates by the scale factor.
Dilation
intersects a circle in only 1 place.
Tangent
intersects a circle in 2 places.
Secant
form right angles when they intersect.
Intersection of a tangent
and a radius
x minus h squared plus y minus k
squared equals radius squared.
Equation of a circle
2 times pi times radius or pi times diameter.
Circumference of a circle
pi times radius squared.
Area of a circle
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is equal to its intercepted arc.
Central angle
is equal to ½ its intercepted arc.
Inscribed angle
is equal to the sum of the arcs divided by 2.
Angle formed by 2 chords
intersecting in a circle
is equal to the major arc minus
the minor arc divided by 2.
Angle formed by 2 secants
is equal to the major arc minus
the minor arc divided by 2.
Angle formed by a secant
and a tangent
is equal to the major arc minus
the minor arc divided by 2.
Angle formed by two
tangents
part of the first chord times the
other part of the first chord
Lengths of 2 intersecting
equals a part of the second chord
chords
times the other part of the
second chord.
if a diameter meets a chord at a
Lengths of an intersecting
right angle (perpendicular), the
diameter and chord that
diameter divides the chord into 2
meet at right angles
equal parts.
(perpendicular)
the whole length of the first
secant times the outside length
Lengths of 2 intersecting
of the first secant equals the
secants
whole length of the second
secant times the outside length
of the second secant.
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the whole length of the first
Lengths of an instersecting secant times the outside length
secant and tangent of the first secant equals the
length of the tangent squared.
Tangents to a circle sharing a
common vertex are equal.
Lengths of intersecting
tangents
acute angles are less than 90
degrees. Right angles are 90
Angles degrees. obtuse angles are
between 90 and 180 degrees.
Straight angles are 180 degrees
and reflex angles are greater
than 180 degrees.
share a common vertex, a
common side, but not common
Adjacent angles
interior points.
2 angles when added together that
equal 90 degrees.
Complementary angles
They do not have to be adjacent
angles.
2 angles when added together that
equal 180 degrees.They do not
Supplementary angles
have to be adjacent angles.
vertical angles are congruent.
Vertical angles
alternate interior angles are
congruent.
Alternate interior angles
corresponding angles are
congruent.
Corresponding angles
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2025/2026 With Correct Answers 100% With Complete Solutions
Pass Guaranteed | Graded A+ |
One set of parallel sides.
Trapezoid
The top parallel side plus the
other parallel side divided by 2.
Median of a trapezoid
One set of parallel sides.
Non-parallel sides are
Isosceles trapezoid congruent. Base
angles are congruent.
Diagonals are congruent.
Base times the height divided by 2.
Area of a triangle
Base times
height or
Area of a rectangle
length times
width.
Base times height or side squared.
Area of a square
Base times the height
Area of a parallelogram
Base times the height
Area of a rhombus
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½ times the height times the sum
of the 2 parallel sides.
Area of a trapezoid
Dilations are a
capital D.
Transformations
Reflections are a
lower case r.
Rotations are a
capital R.
Translations are a
capital T.
Multiply both coordinates by the scale factor.
Dilation
intersects a circle in only 1 place.
Tangent
intersects a circle in 2 places.
Secant
form right angles when they intersect.
Intersection of a tangent
and a radius
x minus h squared plus y minus k
squared equals radius squared.
Equation of a circle
2 times pi times radius or pi times diameter.
Circumference of a circle
pi times radius squared.
Area of a circle
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is equal to its intercepted arc.
Central angle
is equal to ½ its intercepted arc.
Inscribed angle
is equal to the sum of the arcs divided by 2.
Angle formed by 2 chords
intersecting in a circle
is equal to the major arc minus
the minor arc divided by 2.
Angle formed by 2 secants
is equal to the major arc minus
the minor arc divided by 2.
Angle formed by a secant
and a tangent
is equal to the major arc minus
the minor arc divided by 2.
Angle formed by two
tangents
part of the first chord times the
other part of the first chord
Lengths of 2 intersecting
equals a part of the second chord
chords
times the other part of the
second chord.
if a diameter meets a chord at a
Lengths of an intersecting
right angle (perpendicular), the
diameter and chord that
diameter divides the chord into 2
meet at right angles
equal parts.
(perpendicular)
the whole length of the first
secant times the outside length
Lengths of 2 intersecting
of the first secant equals the
secants
whole length of the second
secant times the outside length
of the second secant.
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the whole length of the first
Lengths of an instersecting secant times the outside length
secant and tangent of the first secant equals the
length of the tangent squared.
Tangents to a circle sharing a
common vertex are equal.
Lengths of intersecting
tangents
acute angles are less than 90
degrees. Right angles are 90
Angles degrees. obtuse angles are
between 90 and 180 degrees.
Straight angles are 180 degrees
and reflex angles are greater
than 180 degrees.
share a common vertex, a
common side, but not common
Adjacent angles
interior points.
2 angles when added together that
equal 90 degrees.
Complementary angles
They do not have to be adjacent
angles.
2 angles when added together that
equal 180 degrees.They do not
Supplementary angles
have to be adjacent angles.
vertical angles are congruent.
Vertical angles
alternate interior angles are
congruent.
Alternate interior angles
corresponding angles are
congruent.
Corresponding angles
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