Transcript Translate the following ordered pairs 3 units to the right

BELL RINGER
The vertices of figure ABCD are A(4,2),
B(-1, 0), C(5, 5), and D(1, -3). This figure
is translated 3 units to the right and 4
units up.
1.
2.
3.
4.
What is A’?
What is B’?
What is C’?
What is D’?
IF YOU HAVEN’T TURNED IN YOUR
BUTTERFLY REFLECTION YET, THEN YOU
NEED TO TURN THAT IN NOW.
ALSO, IF YOU HAVE ANY MAKE-UP WORK,
YOU NEED TO TURN THAT IN NOW AS WELL
QUIZ ON FRIDAY

The quiz on Friday will cover
Section 1.4 “Ordered Pairs and Relations”
 Section 2.6 “Graphing in Four Quadrants”
 Section 2.7 “Translations and Reflections”
 Section 6.8 “Dilations”

SECTION 6.8
DILATIONS
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VOCABULARY
 Dilation – A transformation that enlarges or
reduces a figure by a scale factor
NOTES
When the center of a dilation is the origin, you
can find the coordinates of the image by
multiplying each coordinate of the figure by the
scale factor.
 Use the notation (x, y) ⇨(kx, ky) to describe the
dilation.

EXAMPLE 1
DILATION IN A COORDINATE PLANE
EXAMPLE 2
DILATION IN A COORDINATE PLANE
A figure has vertices D(-4, 4), E(4, 8), F(8,
8), and G(4, 0). Graph the figure and the
image of the polygon after a dilation with
a scale factor of ¼.
EXAMPLE 3
DILATION IN A COORDINATE PLANE
A figure has vertices R(-3, 6), S(3, 12),
and T(3, 3). Graph the figure and the
image of the figure after a dilation
with a scale factor of 1/3.
EXAMPLE 4
DILATIONS IN A COORDINATE PLANE
A triangle has vertices A(1, -2), B(0, 2),
and C(-2, -1). Find the coordinates of
the triangle after a dilation with a
scale factor of 2.
EXAMPLE 5
DILATIONS IN A COORDINATE PLANE
A figure has vertices X(-3, 6), Y(3, 0),
and Z(3, 3). Find the coordinates of
the figure after a dilation with a
scale factor of 3.
EXAMPLE 6
DILATIONS IN A COORDINATE PLANE
A triangle has vertices H(-1, -2), I(1, 4),
and J(2, 1). Find the coordinates of
the triangle after a dilation with a
scale factor of 4.
EXAMPLE 7
FIND THE SCALE FACTOR
EXAMPLE 8
FIND THE SCALE FACTOR
IN SUMMARY
HOMEWORK
SECTION 6.8 #1-6
HOMEWORK
SECTION 6.8 #1-6
HOMEWORK
SECTION 6.8 #1-6