Vocab
What is a dilation?
A transformation that changes size of a shape.
A (2,0) ---> A' (___ , ___)
Scale Factor of 2
A' (4,0)
Dilate Triangle ABC on the coordinate plane using point A (2,1) as the center of dilation.
Point B (2,6) ---> B'(___,___)
B'(2,16)
4:6 = a:30
What is the value of a?
A = 20
What type of Dilation makes a shape bigger?
Enlargement
A (6,5) ---> A' (___ , ___)
Scale Factor of 5
A' (30,25)
Dilate Triangle ABC on the coordinate plane using point A (2,1) as the center of dilation.
Point C (4,1) ---> C'(___,___)
C' (8,1)
Center of Dilation : (0,0) Scale Factor: 5
Point F (5,8) ---> Point F'(___,___)
Point F' (25,40)
What is the name of a fixed point where a dilation starts from?
Center of Dilation
A (8,20) ---> A' (___ , ___)
Scale Factor of 1/2
A'(4,10)
Dilate Triangle ABC on the coordinate plane using point A (2,1) as the center of dilation.
What is the coordinate for A' ?
A' (2,1)
Center of Dilation : (0,1) Scale Factor: 3
Point F (0,5) ---> Point F'(___,___)
Point F' (0,13)
A reduction.
A (12,20) ---> A' (___ , ___)
Scale Factor of 1/4
A'(3,5)
Dilate Figure PQRS by a scale factor of 3/2 using the point (4, 6) as the center of dilation. Determine the coordinates of Figure P′Q′R′S′
P (-3,6) ---> P' (____,____)
P' (-6.5,6)
Center of Dilation : (0,0) Scale Factor: 1/4
Point F (16,20) ---> Point F'(___,___)
Triangle ABC is _________ to Triangle A'B'C after a dilation.
Similar
A (25,10) ---> A' (5,2)
Scale Factor = ?
Scale Factor = 1/5 or 0.2
Center of Dilation : (3,3) Scale Factor: 2
Point A : (-3,-3) ----> Point A' (___,___)
Point A' (-9,-9)
Center of Dilation : (1,-3) Scale Factor: 2
Point F (2,-4) ---> Point F'(___,___)
Point F' (3,-5)