Chapter 7 Review

Transformations

100

Which transformation does NOT preserve distance?

dilation

200

Describe the transformation below?

(x,y)-> (x-2, y+4)

translate 2 units left and 4 units up

300

Point G'(6,18) is the image of point G(2,6). What is the scale factor?

3

400

What is the image of the point T(4,0) after a dilation with the center (0,0) and a scale factor of 0.5?

(2,0)

500

The area of triangle ABC is 34 square feet. What is the area, in square feet, of the image of triangle ABC after dilation with a scale factor 2?

136

Similarity Transformation

100

What transformation should you always do first if it is included in a similarity transformation sequence?

Dilation

200

WHat is the difference between triangle similarity and triangle congruency?

Up to teacher for answer

300

What are the coordinates of B' for the image of triangle ABC after a dilation with the center (0,0) and a scale factor of 3, then applying (x,y) -> (x-2,y+3), given A(1,2) B(3,6) C(2,4)?

(7,21)

400

What are the coordinates of A' for the image of triangle ABC after a dilation with the center (0,0) and a scale factor of 1/2, then applying (x,y) -> (x+3,y-5), given A(0,5) B(2,3) C(6,1)?

(3,-2.5)

500

Using picture #6, which best describes the sequence of transformations that maps triangle ABC to A'B'C'?

A) dilation with scale factor 2, then translation right and down

B) dilation with scale factor 0.5, then translation left and up

C) translate left and up, then dilation with scale factor 2

D) translate right and down, then dilation with scale factor 0.5

B

Similarity & Proportions

100

Using picture #1, what is <C?

47 degrees

200

Using picture #4, what is the value of x?

x=4

300

Using picture #2, what condition would prove ABC ~ DEF?

A) AC : FD = 3:1

B) AC : FD = 1:3

C) BC : EF = 1:3

D) BC : EF = 3:1

D

400

Using the triangle #5. Find the area of triangle ABC.

80

500

Using picture #3, what is AD?

4