Topic 2 Review

Vocab

100

What is a dilation?

A transformation that changes size of a shape.

200

What type of Dilation makes a shape bigger?

Enlargement

300

What is the name of a fixed point where a dilation starts from?

Center of Dilation

400

The dilation made the triangle smaller, what happened?

A reduction.

500

Triangle ABC is _________ to Triangle A'B'C after a dilation.

Similar

Center of Dilation At the Origin

100

A (2,0) ---> A' (___ , ___)

Scale Factor of 2

A' (4,0)

200

A (6,5) ---> A' (___ , ___)

Scale Factor of 5

A' (30,25)

300

A (8,20) ---> A' (___ , ___)

Scale Factor of 1/2

A'(4,10)

400

A (12,20) ---> A' (___ , ___)

Scale Factor of 1/4

A'(3,5)

500

A (25,10) ---> A' (5,2)

Scale Factor = ?

Scale Factor = 1/5 or 0.2

Center of Dilation Not At the Origin

100

_{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)

200

_{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)

300

_{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)

400

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)

500

Center of Dilation : (3,3)         Scale Factor: 2

Point A : (-3,-3) ----> Point A' (___,___)

Point A' (-9,-9)

Mixed Questions

100

4:6 = a:30

What is the value of a?

A = 20

200

Center of Dilation : (0,0)       Scale Factor: 5

Point F (5,8) ---> Point F'(___,___)

Point F' (25,40)

300

Center of Dilation : (0,1)       Scale Factor: 3

Point F (0,5) ---> Point F'(___,___)

Point F' (0,13)

400

Center of Dilation : (0,0)       Scale Factor: 1/4

Point F (16,20) ---> Point F'(___,___)

Point F'(4,5)

500

Center of Dilation : (1,-3)       Scale Factor: 2

Point F (2,-4) ---> Point F'(___,___)

Point F' (3,-5)