Sewanhaka High School
Math 8
Class:________________
Name:________________________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
Date:_____________________
H.W. #49: Ditto
DO-NOW #49:
1) Locate ΔABC by plotting and connecting the following points:
A(1, 1) B(1, 4) C(5, 1)
a) Find the area of the figure
b) Find the image of ΔABC under rx-axis. Label it A’B’C’.
c) Find the image of ΔABC under rorigin. Label it A’’B’’C’’.
d) Give the coordinates of each triangle in parts b and c.
2) Multiply:
2
5
x 1 =
9
7
Topic: Transformations
Main Idea: Translations
Aim:
RECALL
Locate ΔABC by plotting and connecting the
following points: A(-4, -2) B(-4, 0) C(-2, -2)
NOTES
Find the image of ΔABC under the translation of 2
units right and 3 units up (T2, 3). Give the
coordinates of A’, B’, and C’.
Answer:
A(-4, -2) → A’(
,
) → A’(
, )
B(-4, 0) → B’(
,
) → B’( ,
)
C(-2, -2) → C’(
,
) → C’(
, )
Find the area of both figures
Describe what each translation represents:
What is the rule for a translation of (a , b)?
A)
B)
C)
D)
T1, 2:
T-2, -3:
T0, 3:
T-4, 0:
move _____ unit ____ and ____ units_______
move _____ units _____ and ____ units______
move _____ units _____ and ____ units______
move _____ units _____ and ____ units______
Locate ∆DEF by plotting and connecting the
following points: D(-2, 3) E(2, 3) F(2, 0).
Find the image of ∆DEF under the translation of 5
units left and 4 units down (T-5, -4).
Give the coordinates of D’, E’, and F’.
Answer:
D(-2, 3) → D’(
,
) → D’(
, )
E(2, 3) → E’(
,
) → E’( ,
)
F(2, 0) → F’(
,
) → F’(
, )
Drill: Locate ∆GHI by plotting and connecting
the following points: G(0, 0) H(0, 2) I(2, 0).
Find the image of ∆GHI under the translation of:
a) T4, 3
Give the coordinates of G’, H’, and I’.
Answer:
G(0, 0) → G’(
,
) → G’( ,
)
H(0, 2) → H’(
,
) → H’( , )
I(2, 0) → I’(
,
) → I’(
, )
b) T-4, -3
Give the coordinates of G’’, H’’, and I’’.
Answer:
G(0, 0) → G’’(
,
) → G’’( ,
)
H(0, 2) → H’’(
,
) → H’’( ,
)
I(2, 0) → I’’(
,
) → I’’( , )
c) T0, 3
Give the coordinates of G1, H1, and I1.
Answer:
G(0, 0) → G1(
,
) → G1( ,
)
H(0, 2) → H1(
,
) → H1( ,
)
I(2, 0) → I1(
,
) → I1( , )
Summary: