Translations
Point A(–3, 5) is translated (x + 4, y – 7).
→ Find A′.
A′(1, –2)
Reflect point A(4, –3) over the x-axis.
A′(4, 3)
Rotate point A(3, 4) 90° counterclockwise.
A′(–4, 3)
Dilate point A(2, –3) by a scale factor of 2.
A′(4, –6)
Why are Cheerios good for?
Heart health
Triangle ABC has vertices
A(2, –1), B(–4, 3), C(5, 6).
It is translated by (x – 3, y + 2).
→ Find A′, B′, C′.
A(2, –1) → A′(–1, 1)
B(–4, 3) → B′(–7, 5)
C(5, 6) → C′(2, 8)
Reflect point D(–2, –7) over the line y = 3.
D′(–2, 13)
C(6, –1) 90° clockwise.
C′(–1, –6)
Triangle ABC has vertices
A(1, 2), B(–2, 4), C(3, –1).
Dilate the triangle by a scale factor of 3.
A′(3, 6)
B′(–6, 12)
C′(9, –3)
What is Obama’s last name?
Obama
A point is translated right 7 units and down 2 units and ends at (3, –6).
→ What was the original point?
Original point: (–4, –4)
Triangle ABC has vertices
A(2, –1), B(–4, 3), C(6, 5).
Reflect the triangle over the x-axis.
A′(2, 1)
B′(–4, –3)
C′(6, –5)
Triangle ABC has vertices
A(1, 2), B(–3, 4), C(5, –1).
Rotate the triangle 90° counterclockwise.
A′(–2, 1)
B′(–4, –3)
C′(1, 5)
Quadrilateral WXYZ has vertices
W(2, –1), X(4, 3), Y(–2, 5), Z(–4, 1).
Dilate the figure by a scale factor of –½.
W′(–1, ½)
X′(–2, –3/2)
Y′(1, –5/2)
Z′(2, –½)
What is the turtles name that is hung up on Mrs. Yassins door?
Georgie
Triangle RST is translated so that
R(–1, 4) → R′(3, –2).
→ Write the translation rule and find S′ and T′ if
S(2, 6), T(–3, 1).
Translation: right 4, down 6
Rule: (x + 4, y – 6)
S(2, 6) → S′(6, 0)
T(–3, 1) → T′(1, –5)
Square PQRS has vertices
P(–3, 1), Q(1, 1), R(1, 5), S(–3, 5).
Reflect the square over the line x = –1.
P′(1, 1)
Q′(–3, 1)
R′(–3, 5)
S′(1, 5)
Square PQRS has vertices
P(2, 1), Q(4, 1), R(4, 3), S(2, 3).
Rotate the square 90° clockwise.
P′(1, –2)
Q′(1, –4)
R′(3, –4)
S′(3, –2)
Triangle RST has vertices
R(–2, 1), S(4, 3), T(2, –5).
It is dilated about the origin so that R′(–5, 2.5).
Find the scale factor
Scale factor: 2.5
How many lives does a cat have?
Triangle JKL is translated by (x + a, y + b).
If J(–2, 1) → J′(5, –3) and K(4, –1) → K′(11, –5),
→ Find a and b
a = 7, b = –4
Triangle JKL is reflected over the line y = –x.
If
J(2, –3), K(–1, 4), L(5, 1),
find J′, K′, L′.
J′(3, –2)
K′(–4, 1)
L′(–1, –5)
Triangle JKL is rotated 270° counterclockwise about the origin.
If
J(–2, 1), K(3, 4), L(1, –5),
find J′, K′, L′.
J′(1, 2)
K′(4, –3)
L′(–5, –1)
A point G(–6, 4) is dilated by a factor of k to G′(9, –6).
Find k
k = –1.5
How many Earths can fit inside the sun?
Around a million.