MATH 2 FINAL EXAM REVIEW FREQUENTLY TESTED
ACTUAL QUESTIONS WITH CORRECT ANSWERS
Question 1.
Rigid Transformations vs. Non-Rigid Transformations
ANSWER
rigid = shape stays the same size (translations, reflections, rotations)
non-rigid = shape changes size (dilation)
Question 2.
Coordinate Rule for: reflection across x-axis
ANSWER
(x,y) to (x,-y)
Question 3.
Coordinate Rule for: reflection across y-axis
ANSWER
(x,y) to (-x,y)
Question 4.
Coordinate Rule for: reflection across y = x
ANSWER
(x,y) to (y,x)
Question 5.
Coordinate Rule for: reflection across y = -x
ANSWER
(x,y) to (-y,-x)
,Question 6.
dilation formula
ANSWER
k: scale factor (x,y) to (kx,ky)
Question 7.
Coordinate Rule for: rotation 90˚ clockwise/270˚ counter clockwise
ANSWER
(x,y) to (y,-x)
Question 8.
Coordinate Rule for: rotation 180˚
ANSWER
(x,y) to (-x,-y)
Question 9.
Coordinate Rule for: rotation 270˚ clockwise/90˚ counter clockwise
ANSWER
(x,y) to (-y,x)
Question 10.
Triangle sum theorem
ANSWER
m<A + m<B + m<C = 180˚
,Question 11.
Exterior angle theorem
ANSWER
m<1 = m<3 + m<4 exterior angle= the sum of 2 angles not adjacent to the exterior angle
Question 12.
right triangle formula
ANSWER
a² + b² = c²
, Question 13.
Trig Ratio for: sin(angle)
ANSWER
opposite / hypotenuse
Question 14.
Trig Ratio for: cos(angle)
ANSWER
adjacent / hypotenuse
Question 15.
Trig Ratio for: tan(angle)
ANSWER
opposite / adjacent
ACTUAL QUESTIONS WITH CORRECT ANSWERS
Question 1.
Rigid Transformations vs. Non-Rigid Transformations
ANSWER
rigid = shape stays the same size (translations, reflections, rotations)
non-rigid = shape changes size (dilation)
Question 2.
Coordinate Rule for: reflection across x-axis
ANSWER
(x,y) to (x,-y)
Question 3.
Coordinate Rule for: reflection across y-axis
ANSWER
(x,y) to (-x,y)
Question 4.
Coordinate Rule for: reflection across y = x
ANSWER
(x,y) to (y,x)
Question 5.
Coordinate Rule for: reflection across y = -x
ANSWER
(x,y) to (-y,-x)
,Question 6.
dilation formula
ANSWER
k: scale factor (x,y) to (kx,ky)
Question 7.
Coordinate Rule for: rotation 90˚ clockwise/270˚ counter clockwise
ANSWER
(x,y) to (y,-x)
Question 8.
Coordinate Rule for: rotation 180˚
ANSWER
(x,y) to (-x,-y)
Question 9.
Coordinate Rule for: rotation 270˚ clockwise/90˚ counter clockwise
ANSWER
(x,y) to (-y,x)
Question 10.
Triangle sum theorem
ANSWER
m<A + m<B + m<C = 180˚
,Question 11.
Exterior angle theorem
ANSWER
m<1 = m<3 + m<4 exterior angle= the sum of 2 angles not adjacent to the exterior angle
Question 12.
right triangle formula
ANSWER
a² + b² = c²
, Question 13.
Trig Ratio for: sin(angle)
ANSWER
opposite / hypotenuse
Question 14.
Trig Ratio for: cos(angle)
ANSWER
adjacent / hypotenuse
Question 15.
Trig Ratio for: tan(angle)
ANSWER
opposite / adjacent