NCSSM placement test With two exam test combined
ques ons and answers New!! 2025/2026 GUARANTEED
SUCCESS
Tangent - Answers intersects a circle in only 1 place.
Secant - Answers intersects a circle in 2 places.
Intersec on of a tangent and a radius - Answers form right angles when they intersect.
Equa on of a circle - Answers x minus h squared plus y minus k squared equals radius
squared.
Circumference of a circle - Answers 2 mes pi mes radius or pi mes diameter.
Area of a circle - Answers pi mes radius squared.
Central angle - Answers is equal to its intercepted arc.
Inscribed angle - Answers is equal to ½ its intercepted arc.
Angle formed by 2 chords intersec ng in a circle - Answers is equal to the sum of the arcs
divided by 2.
,Angle formed by 2 secants - Answers is equal to the major arc minus the minor arc divided by
2.
Angle formed by a secant and a tangent - Answers is equal to the major arc minus the minor
arc divided by 2.
Angle formed by two tangents - Answers is equal to the major arc minus the minor arc
divided by 2.
Lengths of 2 intersec ng chords - Answers part of the first chord mes the other part of the
first chord equals a part of the second chord mes the other part of the second chord.
Lengths of an intersec ng diameter and chord that meet at right angles (perpendicular) -
Answers if a diameter meets a chord at a right angle (perpendicular), the diameter divides the
chord into 2 equal parts.
Lengths of 2 intersec ng secants - Answers the whole length of the first secant mes the
outside length of the first secant equals the whole length of the second secant mes the
outside length of the second secant.
Lengths of an instersec ng secant and tangent - Answers the whole length of the first secant
mes the outside length of the first secant equals the length of the tangent squared.
Lengths of intersec ng tangents - Answers Tangents to a circle sharing a common vertex are
equal.
Angles - Answers 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 - Answers share a common vertex, a common side, but not common interior
points.
Complementary angles - Answers 2 angles when added together that equal 90 degrees.
They do not have to be adjacent angles.
Supplementary angles - Answers 2 angles when added together that equal 180 degrees.They
do not have to be adjacent angles.
Ver cal angles - Answers ver cal angles are congruent.
Alternate interior angles - Answers alternate interior angles are congruent.
Corresponding angles - Answers corresponding angles are congruent.
Sum of the angles in a triangle - Answers the 3 angles of a triangle add up to 180 degrees.
Triangles classified by sides - Answers scalene triangles have no equal sides.
isosceles triangles have at least 2 equal sides.
equilateral triangles have 3 equal sides.
Triangles classified by angles - Answers 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 - Answers the exterior angle of a triangle equals the sum of the 2
opposite interior angles.
, Isosceles triangles - Answers sides opposite congruent angles are congruent.
angles opposite congruent sides are congruent.
Triangle inequality theorem - Answers the sum of 2 sides of a triangle must be greater than
the 3rd side.
Mid segment of a triangle - Answers 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 - Answers 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 ra o of 2 to 1.
Angle bisector - Answers bisects an angle into 2 congruent angles.
they meet in a triangle at a point called the incenter.
Al tude - Answers makes a right angle with the opposite side.
they meet in a triangle at a point called the orthocenter.
Perpendicular bisector - Answers 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 - Answers angles in similar (∼) triangles are congruent.
sides are in propor on.
angles are in a propor on of one to one. (1:1)
ques ons and answers New!! 2025/2026 GUARANTEED
SUCCESS
Tangent - Answers intersects a circle in only 1 place.
Secant - Answers intersects a circle in 2 places.
Intersec on of a tangent and a radius - Answers form right angles when they intersect.
Equa on of a circle - Answers x minus h squared plus y minus k squared equals radius
squared.
Circumference of a circle - Answers 2 mes pi mes radius or pi mes diameter.
Area of a circle - Answers pi mes radius squared.
Central angle - Answers is equal to its intercepted arc.
Inscribed angle - Answers is equal to ½ its intercepted arc.
Angle formed by 2 chords intersec ng in a circle - Answers is equal to the sum of the arcs
divided by 2.
,Angle formed by 2 secants - Answers is equal to the major arc minus the minor arc divided by
2.
Angle formed by a secant and a tangent - Answers is equal to the major arc minus the minor
arc divided by 2.
Angle formed by two tangents - Answers is equal to the major arc minus the minor arc
divided by 2.
Lengths of 2 intersec ng chords - Answers part of the first chord mes the other part of the
first chord equals a part of the second chord mes the other part of the second chord.
Lengths of an intersec ng diameter and chord that meet at right angles (perpendicular) -
Answers if a diameter meets a chord at a right angle (perpendicular), the diameter divides the
chord into 2 equal parts.
Lengths of 2 intersec ng secants - Answers the whole length of the first secant mes the
outside length of the first secant equals the whole length of the second secant mes the
outside length of the second secant.
Lengths of an instersec ng secant and tangent - Answers the whole length of the first secant
mes the outside length of the first secant equals the length of the tangent squared.
Lengths of intersec ng tangents - Answers Tangents to a circle sharing a common vertex are
equal.
Angles - Answers 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 - Answers share a common vertex, a common side, but not common interior
points.
Complementary angles - Answers 2 angles when added together that equal 90 degrees.
They do not have to be adjacent angles.
Supplementary angles - Answers 2 angles when added together that equal 180 degrees.They
do not have to be adjacent angles.
Ver cal angles - Answers ver cal angles are congruent.
Alternate interior angles - Answers alternate interior angles are congruent.
Corresponding angles - Answers corresponding angles are congruent.
Sum of the angles in a triangle - Answers the 3 angles of a triangle add up to 180 degrees.
Triangles classified by sides - Answers scalene triangles have no equal sides.
isosceles triangles have at least 2 equal sides.
equilateral triangles have 3 equal sides.
Triangles classified by angles - Answers 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 - Answers the exterior angle of a triangle equals the sum of the 2
opposite interior angles.
, Isosceles triangles - Answers sides opposite congruent angles are congruent.
angles opposite congruent sides are congruent.
Triangle inequality theorem - Answers the sum of 2 sides of a triangle must be greater than
the 3rd side.
Mid segment of a triangle - Answers 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 - Answers 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 ra o of 2 to 1.
Angle bisector - Answers bisects an angle into 2 congruent angles.
they meet in a triangle at a point called the incenter.
Al tude - Answers makes a right angle with the opposite side.
they meet in a triangle at a point called the orthocenter.
Perpendicular bisector - Answers 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 - Answers angles in similar (∼) triangles are congruent.
sides are in propor on.
angles are in a propor on of one to one. (1:1)
