Distance Midpoints in the Complex Plane
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
Card 1
of 14
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
What is the midpoint
m
m
m
if
z
2
=
z
1
+
w
z_2=z_1+w
z
2
=
z
1
+
w
for a complex step
w
w
w
?
QUESTION
What is the modulus of
z
=
a
+
b
i
z=a+bi
z
=
a
+
bi
written in terms of
a
a
a
and
b
b
b
?
QUESTION
What is the distance between
z
1
=
a
+
b
i
z_1=a+bi
z
1
=
a
+
bi
and
z
2
=
c
+
d
i
z_2=c+di
z
2
=
c
+
d
i
in coordinates?
Tap to flip before you grade
ANSWER
(
a
−
c
)
2
+
(
b
−
d
)
2
\sqrt{(a-c)^2+(b-d)^2}
(
a
−
c
)
2
+
(
b
−
d
)
2
. Apply the standard distance formula using coordinates $ (a,b) $ and $ (c,d) $.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card