MATH 302 MIDTERM UPDATED ACTUAL EXAM
Questions And CORRECT Answers
Symmetries of a straight line - CORRECT ANSWERS -Reflection symmetry in the line
(bilateral)
-Half Turn Symmetry
-Reflection perpendicular to the line symmetry
-Rigid motion along itself symmetry (translation)
-3D rotation symmetry
-Central/Point Symmetry
Reflection symmetry in the line - CORRECT ANSWERS Shows that a line is straight by
showing that it can mirror an image across it
Half Turn Symmetry - CORRECT ANSWERS A line is straight by "rotating 180 degrees about
any point on the line" and it should land on itself
Reflection perpendicular to the line symmetry - CORRECT ANSWERS A reflection across a
line perpendicular to another line will take the line onto itself
Rigid Motion Along itself Symmetry (translation) - CORRECT ANSWERS any point on the
line can be moved along the line without leaving it (not just straight lines)
3D rotation symmetry - CORRECT ANSWERS by rotating something around the line you
can tell if something is straight by seeing whether it appears to wobble.
, Central Point symmetry - CORRECT ANSWERS In two dimension, half-turn symmetry is the
same thing. In 3D, it sends a point A to the opposite side, but it still remains the same distance
from the line
Angle Definitions - CORRECT ANSWERS Space: A space between 2 lines that meet a point
Dynamic: the amount of rotation or movement one line takes from another line that intersects
Measure: The measurement or number of an opening of two intersecting lines as the size of the
arc
Angle Congruency - CORRECT ANSWERS Space: you describe how one angle can be made
to coincide with the other using isometries
Dynamic: verifying the actions involved in creating or replicating them are the same.
Measure: verify both angles measures are equal
Vertical Angle Theorem (VAT) - CORRECT ANSWERS Opposite angles formed by two
intersecting straight lines are congruent. Given that lines L and W are straight intersecting lines
VAT Proofs - CORRECT ANSWERS Measure: Each line creates 180 degrees, Thus a+y=B+y
a=B+y-y
a=b
Dynamic: if you have c on line L and C(prime) on W which are the same distance away from the
center point P, if you were to rotate lines L and W if C and cprime land on each other, then the
angles are the same
Questions And CORRECT Answers
Symmetries of a straight line - CORRECT ANSWERS -Reflection symmetry in the line
(bilateral)
-Half Turn Symmetry
-Reflection perpendicular to the line symmetry
-Rigid motion along itself symmetry (translation)
-3D rotation symmetry
-Central/Point Symmetry
Reflection symmetry in the line - CORRECT ANSWERS Shows that a line is straight by
showing that it can mirror an image across it
Half Turn Symmetry - CORRECT ANSWERS A line is straight by "rotating 180 degrees about
any point on the line" and it should land on itself
Reflection perpendicular to the line symmetry - CORRECT ANSWERS A reflection across a
line perpendicular to another line will take the line onto itself
Rigid Motion Along itself Symmetry (translation) - CORRECT ANSWERS any point on the
line can be moved along the line without leaving it (not just straight lines)
3D rotation symmetry - CORRECT ANSWERS by rotating something around the line you
can tell if something is straight by seeing whether it appears to wobble.
, Central Point symmetry - CORRECT ANSWERS In two dimension, half-turn symmetry is the
same thing. In 3D, it sends a point A to the opposite side, but it still remains the same distance
from the line
Angle Definitions - CORRECT ANSWERS Space: A space between 2 lines that meet a point
Dynamic: the amount of rotation or movement one line takes from another line that intersects
Measure: The measurement or number of an opening of two intersecting lines as the size of the
arc
Angle Congruency - CORRECT ANSWERS Space: you describe how one angle can be made
to coincide with the other using isometries
Dynamic: verifying the actions involved in creating or replicating them are the same.
Measure: verify both angles measures are equal
Vertical Angle Theorem (VAT) - CORRECT ANSWERS Opposite angles formed by two
intersecting straight lines are congruent. Given that lines L and W are straight intersecting lines
VAT Proofs - CORRECT ANSWERS Measure: Each line creates 180 degrees, Thus a+y=B+y
a=B+y-y
a=b
Dynamic: if you have c on line L and C(prime) on W which are the same distance away from the
center point P, if you were to rotate lines L and W if C and cprime land on each other, then the
angles are the same
