transformations and postulates Flashcards
(14 cards)
1
Q
reflection over x-axis
A
(x, y) —> (x, -y)
2
Q
reflection over y-axis
A
(x, y) —> (-x, y)
3
Q
y = x
A
(x, y) —> (y, x)
4
Q
y = -x
A
(x, y) —> (-y, -x)
5
Q
90 degree rotation
A
(x, y) —> (-y, x)
6
Q
180 degree rotation
A
(x, y) —> (-x, -y)
7
Q
270 degree rotation
A
(x, y) —> (y, -x)
8
Q
distributive property
A
if a(b + c), then a(b + c) = ab + ac
9
Q
substitution property
A
if a = b, then then a may be replaced by b in any equation
10
Q
reflexive property
A
for any real number a, a = a (a always equals itself)
11
Q
symmetric property
A
if a = b, then b = a
12
Q
transitive property
A
if a = b, and b = c, then a = c
13
Q
definition of congruence
A
segments are congruent if and only if they have the same measure
14
Q
definition of midpoint
A
the midpoint of a segment divides the segment into two equal (congruent) parts
