03.01 Dilations

Question: Hexagon IJKLMN is shown on the coordinate plane below:

If hexagon IJKLMN is dilated by a scale factor of from the origin to create hexagon I’J’K’L’M’N’, what is the ordered pair of point L’?

Question 1 options:

(−0.4, 0.8)

(−5, 15)

(−0.8, 2.4)

(−2.5, 5)

Answer: (−0.4, 0.8)

Question: Pentagon OPQRS is shown on the coordinate plane below:

If pentagon OPQRS is dilated by a scale factor of from the origin to create O’P’Q’R’S’, what is the ordered pair of point P’?

Question 2 options:

(−8.75, 5.25)

(−1.25, 0.75)

(−3.5, 8.75)

(−1.75, 3.5)

Answer: (−8.75, 5.25)

Question:

Answer: 16 inches by 32 inches

Question: Trapezoid TRAP was dilated by a scale factor of to create trapezoid T’R’A’P’.

Which point is the center of dilation?

Question 4 options:

W

X

Y

Z

Answer: X

Question:

Answer: The locations of A’ and B’ are A’ (0, 1) and B’ (1, 0); lines f and f’ are parallel.

Question: Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E’F’G’. Which statement is true about the dilation?

Question 6 options:

and both pass through the center of dilation.

The slope of is the same as the slope of .

will overlap .

≅ .

Answer: and both pass through the center of dilation.

Question:

Answer: and are proportional after the dilation and congruent after the translation.

Question:

Answer: A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.

Question: is dilated from the origin to create at A’ (0, 6) and B’ (6, 9). What scale factor was dilated by?

Question 10 options:

2

3

4

Answer: 2

Question:

Answer: is located at X (0, 5) and Y (0, 2) and is half the length of .