2010
Form I MATH
Name __________________
Transformations - 19
1.
a) Draw and label a Cartesian plane
b) Plot ΔABC using the following:
A(−4,−2) B(−2,−7) C(−8,−5)
c) Reflect Δ ABC across the line y = −x
d) Rotate Δ ABC according to the following: r(0,90°)
2.
a) Draw and label a Cartesian plane
b) Plot triangle XYZ, X(2, −1), Y(1, −6), Z(5, −4)
c) Reflect Δ XYZ in the x-axis
d) Translate Δ XYZ according to the following notation:
t( −3,−6 ) : ( x, y ) → ( x − 3, y − 6 )
e) Reflect Δ XYZ across the line y = x
3.
a) Draw and label a Cartesian plane
b) Plot ΔKLM using the following:
K(− 8,2) L(−3,7) M(3, 2)
c) Rotate Δ KLM −90° using the origin as the centre of rotation.
d) Reflect Δ KLM across the line y = x
e) Translate Δ KLM according to the following notation:
t( −4,−7 ) : ( x, y ) → ( x − 4, y − 7 )
4.
a) Draw and label a Cartesian plane
b) Plot ΔGHI using the following:
G(1, 1) H(1, −6) I(5, −2)
c) Translate Δ GHI according to the following notation:
t( 4, 7 ) : ( x, y ) → ( x + 4, y + 7 )
d) Rotate Δ GHI according to the following: r(0,180°)
e) Reflect Δ GHI across the y-axis.