Hesi A2 Math 2 Cheat Sheet Exam
Questions With 100% Pass
/. Similar figures have _____ sides and _____ angles - Answer-proportional sides and
congruent angles
/.When given two SIDES of a right triangle, you can find the THIRD side using ___ -
Answer-Pythagorean Theorem
/.When using Pythagorean theorem, a²+b²=c²,
c has to be the ____ of the triangle - Answer-hypotenuse
(side across from the right angle)
/.Any isosceles, right triangle is automatically a ___ triangle - Answer-45-45-90
/.To go from the *leg* to the *hypotenuse* of a 45-45-90 triangle, ___ - Answer-multiply
by √2
/.To go from the *hypotenuse* to the *leg* of a 45-45-90 triangle, ___ - Answer-divide by
√2
/.To go from the *shorter leg* to the *longer leg* of a 30-60-90 triangle, ___ - Answer-
multiply by √3
/.To go from the *longer leg* to the *shorter leg* of a 30-60-90 triangle, ___ - Answer-
divide by √3
/.To go from the *shorter leg* to the *hypotenuse* of a 30-60-90 triangle, ___ - Answer-
multiply by 2
/.sin θ = - Answer-opposite/hypotenuse
/.cos θ = - Answer-adjacent/hypotenuse
/.tan θ = - Answer-opposite/adjacent
/.When using sin, cos, tan in the calculator, it is important to put it in ____ mode -
Answer-DEGREE
/.When given *1 angle* and *1 side* of a right triangle, use ____ to find a side - Answer-
SIN, COS, or TAN
, /.When given 2 sides of a right triangle, use ___ to find an angle - Answer-SIN⁻¹, COS⁻¹
or TAN⁻¹
/.The angle of depression is __ - Answer-The angle below a horizontal line to look
DOWN at something
/.The angle of elevation is ___ - Answer-the angle formed by a horizontal line and the
line of sight to an object above the horizontal line
/.A∩B means ___
Which are elements that are in ____ - Answer-Intersection of A&B
both A AND B
/.A∪B means ___
Which are elements that are in ____ - Answer-Union of A&B
either A OR B
/.Mutually exclusive or disjoint events are events that ___ - Answer-CANNOT happen at
the same time
/.To find the probability of something AND (∩), something else you should ___ the
probabilities
If they are /dependent/, you will need to adjust the probability of the second event -
Answer-multiply
/.To find the probability of something OR (∪), something else you should ___ the
probabilities.
If they are not mutually exclusive, you will need to ___ - Answer-add
subtract any overlap
/.P(A|B) means - Answer-Probability of A GIVEN that B has occurred
/.The parent function /and/ graph of a *QUADRATIC* function look like: - Answer-y=x²
/.The parent function /and/ graph of a *SQUARE ROOT* function look like: - Answer-
y=√x
/.The parent function /and/ graph of an *INVERSE VARIATION* function look like -
Answer-y=1/x
/.When transforming the parent function
y=a(x-h)²+k
Questions With 100% Pass
/. Similar figures have _____ sides and _____ angles - Answer-proportional sides and
congruent angles
/.When given two SIDES of a right triangle, you can find the THIRD side using ___ -
Answer-Pythagorean Theorem
/.When using Pythagorean theorem, a²+b²=c²,
c has to be the ____ of the triangle - Answer-hypotenuse
(side across from the right angle)
/.Any isosceles, right triangle is automatically a ___ triangle - Answer-45-45-90
/.To go from the *leg* to the *hypotenuse* of a 45-45-90 triangle, ___ - Answer-multiply
by √2
/.To go from the *hypotenuse* to the *leg* of a 45-45-90 triangle, ___ - Answer-divide by
√2
/.To go from the *shorter leg* to the *longer leg* of a 30-60-90 triangle, ___ - Answer-
multiply by √3
/.To go from the *longer leg* to the *shorter leg* of a 30-60-90 triangle, ___ - Answer-
divide by √3
/.To go from the *shorter leg* to the *hypotenuse* of a 30-60-90 triangle, ___ - Answer-
multiply by 2
/.sin θ = - Answer-opposite/hypotenuse
/.cos θ = - Answer-adjacent/hypotenuse
/.tan θ = - Answer-opposite/adjacent
/.When using sin, cos, tan in the calculator, it is important to put it in ____ mode -
Answer-DEGREE
/.When given *1 angle* and *1 side* of a right triangle, use ____ to find a side - Answer-
SIN, COS, or TAN
, /.When given 2 sides of a right triangle, use ___ to find an angle - Answer-SIN⁻¹, COS⁻¹
or TAN⁻¹
/.The angle of depression is __ - Answer-The angle below a horizontal line to look
DOWN at something
/.The angle of elevation is ___ - Answer-the angle formed by a horizontal line and the
line of sight to an object above the horizontal line
/.A∩B means ___
Which are elements that are in ____ - Answer-Intersection of A&B
both A AND B
/.A∪B means ___
Which are elements that are in ____ - Answer-Union of A&B
either A OR B
/.Mutually exclusive or disjoint events are events that ___ - Answer-CANNOT happen at
the same time
/.To find the probability of something AND (∩), something else you should ___ the
probabilities
If they are /dependent/, you will need to adjust the probability of the second event -
Answer-multiply
/.To find the probability of something OR (∪), something else you should ___ the
probabilities.
If they are not mutually exclusive, you will need to ___ - Answer-add
subtract any overlap
/.P(A|B) means - Answer-Probability of A GIVEN that B has occurred
/.The parent function /and/ graph of a *QUADRATIC* function look like: - Answer-y=x²
/.The parent function /and/ graph of a *SQUARE ROOT* function look like: - Answer-
y=√x
/.The parent function /and/ graph of an *INVERSE VARIATION* function look like -
Answer-y=1/x
/.When transforming the parent function
y=a(x-h)²+k
