Dilations Keep Lines Parallel
Geometry · Flashcards
GEOMETRY · FLASHCARDS
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QUESTION
Find the image of
y
=
3
x
+
6
y=3x+6
y
=
3
x
+
6
under dilation centered at
O
=
(
0
,
0
)
O=(0,0)
O
=
(
0
,
0
)
with scale factor
k
=
1
2
k=\frac{1}{2}
k
=
2
1
.
QUESTION
A dilation centered at
O
=
(
0
,
0
)
O=(0,0)
O
=
(
0
,
0
)
sends
y
=
m
x
+
b
y=mx+b
y
=
m
x
+
b
to what line (assume
b
≠
0
b\neq 0
b
=
0
)?
QUESTION
Find the image of
y
=
−
3
x
+
9
y=-3x+9
y
=
−
3
x
+
9
under dilation centered at
O
=
(
0
,
0
)
O=(0,0)
O
=
(
0
,
0
)
with scale factor
k
=
2
k=2
k
=
2
.
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ANSWER
y
=
−
3
x
+
18
y=-3x+18
y
=
−
3
x
+
18
. The
y
y
y
-intercept becomes
k
⋅
9
=
2
⋅
9
=
18
k \cdot 9 = 2 \cdot 9 = 18
k
⋅
9
=
2
⋅
9
=
18
.
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